<!DOCTYPE html>
<html class="client-nojs vector-feature-night-mode-disabled vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-sticky-header-enabled" lang="en" dir="ltr"><head>
<meta charset="UTF-8">
<title>P-wave modulus</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<link rel="canonical" href="https://en.wikipedia.org/wiki/P-wave_modulus"> <link href="./mw/ext.math.styles.css" rel="stylesheet" type="text/css">
<link href="./mw/skins.vector.icons.css" rel="stylesheet" type="text/css">
<link href="./mw/skins.vector.search.codex.styles.css" rel="stylesheet" type="text/css">
<link href="./mw/skins.vector.styles.css" rel="stylesheet" type="text/css">
<link href="./mw/user.styles.css" rel="stylesheet" type="text/css">
<meta name="ResourceLoaderDynamicStyles" content="">
<link rel="stylesheet" type="text/css" href="./mw/site.styles.css">
<link rel="stylesheet" type="text/css" href="./mw/noscript.css">
<link rel="stylesheet" type="text/css" href="./footer.css">
<link rel="stylesheet" type="text/css" href="./vector-2022.css">
</head>
<body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject page-P-wave_modulus rootpage-P-wave_modulus skin-vector-2022 action-view">
<div class="mw-page-container">
<div class="mw-page-container-inner">
<div class="mw-content-container">
<main id="content" class="mw-body">
<header class="mw-body-header vector-page-titlebar">
<h1 id="firstHeading" class="firstHeading mw-first-heading">
<span id="openzim-page-title" class="mw-page-title-main"><span class="mw-page-title-main">P-wave modulus</span></span>
</h1>
</header>
<a id="top"></a>
<div id="bodyContent" class="vector-body ve-init-mw-desktopArticleTarget-targetContainer" aria-labelledby="firstHeading" data-mw-ve-target-container="">
<div id="mw-content-text" class="mw-body-content mw-content-ltr" lang="en" dir="ltr"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><p>There are two kinds of seismic body waves in solids, <i>pressure waves</i> (P-waves) and <i>shear waves.</i> In <a href="Linear_elasticity" title="Linear elasticity">linear elasticity</a>, the <b>P-wave modulus</b> <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>M</mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle M}</annotation>
</semantics>
</math></span><img src="./f82cade9898ced02fdd08712e5f0c0151758a0dd.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.442ex; height:2.176ex;" alt="{\displaystyle M}" loading="lazy"></span>, also known as the <b>longitudinal modulus</b>, or the <b>constrained modulus</b>, is one of the elastic moduli available to describe isotropic homogeneous materials.
</p><p>It is defined as the ratio of axial <a href="Stress_(physics)" class="mw-redirect" title="Stress (physics)">stress</a> to axial <a href="Strain_(materials_science)" class="mw-redirect" title="Strain (materials science)">strain</a> in a uniaxial strain state. This occurs when expansion in the transverse direction is prevented by the inertia of neighboring material, such as in an earthquake, or underwater seismic blast.
</p>
<dl><dd><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma _{zz}=M\epsilon _{zz}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>σ<!-- σ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>z</mi>
<mi>z</mi>
</mrow>
</msub>
<mo>=</mo>
<mi>M</mi>
<msub>
<mi>ϵ<!-- ϵ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>z</mi>
<mi>z</mi>
</mrow>
</msub>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \sigma _{zz}=M\epsilon _{zz}}</annotation>
</semantics>
</math></span><img src="./9b5be6b31b9442b97d6a98519b75cf99101f1c0d.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.354ex; height:2.509ex;" alt="{\displaystyle \sigma _{zz}=M\epsilon _{zz}}" loading="lazy"></span></dd></dl>
<p>where all the other strains <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \epsilon _{**}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>ϵ<!-- ϵ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mo>∗<!-- ∗ --></mo>
<mo>∗<!-- ∗ --></mo>
</mrow>
</msub>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \epsilon _{**}}</annotation>
</semantics>
</math></span><img src="./018260cfbcce2951eebb41f36736e1557d683520.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.293ex; margin-bottom: -0.379ex; width:2.82ex; height:2.009ex;" alt="{\displaystyle \epsilon _{**}}" loading="lazy"></span> are zero.
</p><p>This is equivalent to stating that
</p>
<dl><dd><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{x}=\rho _{x}V_{\mathrm {P} }^{2},}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>M</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>x</mi>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>ρ<!-- ρ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>x</mi>
</mrow>
</msub>
<msubsup>
<mi>V</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="normal">P</mi>
</mrow>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
</mrow>
</msubsup>
<mo>,</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle M_{x}=\rho _{x}V_{\mathrm {P} }^{2},}</annotation>
</semantics>
</math></span><img src="./97f80b03d2c4b03a46200b2b50417a4c3e81e7a1.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:12.517ex; height:3.176ex;" alt="{\displaystyle M_{x}=\rho _{x}V_{\mathrm {P} }^{2},}" loading="lazy"></span></dd></dl>
<p>where <i>V</i><sub>P</sub> is the velocity of a <a href="P-wave" class="mw-redirect" title="P-wave">P-wave</a> and <i>ρ</i> is the <a href="Density" title="Density">density</a> of the material through which the wave is propagating.
</p><p><br>
</p>
<div class="mw-heading mw-heading2"><h2 id="References">References</h2></div>
<ul><li><a href="Gary_M._Mavko" title="Gary M. Mavko">G. Mavko</a>, T. Mukerji, J. Dvorkin. <i>The Rock Physics Handbook</i>. Cambridge University Press 2003 (paperback). <style data-mw-deduplicate="TemplateStyles:r1238218222">
/* start https://en.wikipedia.org/ */
.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("./mw/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("./mw/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("./mw/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("./mw/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}
/* end https://en.wikipedia.org/ */
</style><a href="ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <bdi>0-521-54344-4</bdi></li></ul>
<div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">
/* start https://en.wikipedia.org/ */
.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}
/* end https://en.wikipedia.org/ */
</style><style data-mw-deduplicate="TemplateStyles:r1236075235">
/* start https://en.wikipedia.org/ */
.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.mw-parser-output .navbox+.navbox-styles+.navbox{margin-top:-1px}.mw-parser-output .navbox-inner,.mw-parser-output .navbox-subgroup{width:100%}.mw-parser-output .navbox-group,.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow{padding:0.25em 1em;line-height:1.5em;text-align:center}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background-color:#fdfdfd}.mw-parser-output .navbox-list{line-height:1.5em;border-color:#fdfdfd}.mw-parser-output .navbox-list-with-group{text-align:left;border-left-width:2px;border-left-style:solid}.mw-parser-output tr+tr>.navbox-abovebelow,.mw-parser-output tr+tr>.navbox-group,.mw-parser-output tr+tr>.navbox-image,.mw-parser-output tr+tr>.navbox-list{border-top:2px solid #fdfdfd}.mw-parser-output .navbox-title{background-color:#ccf}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background-color:#ddf}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background-color:#e6e6ff}.mw-parser-output .navbox-even{background-color:#f7f7f7}.mw-parser-output .navbox-odd{background-color:transparent}.mw-parser-output .navbox .hlist td dl,.mw-parser-output .navbox .hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}body.skin--responsive .mw-parser-output .navbox-image img{max-width:none!important}@media print{body.ns-0 .mw-parser-output .navbox{display:none!important}}
/* end https://en.wikipedia.org/ */
</style></div><div role="navigation" class="navbox" aria-labelledby="Elastic_moduli_for_homogeneous_isotropic_materials74" style="padding:3px"><table class="nowraplinks mw-collapsible show navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><style data-mw-deduplicate="TemplateStyles:r1239400231">
/* start https://en.wikipedia.org/ */
.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}
/* end https://en.wikipedia.org/ */
</style><div id="Elastic_moduli_for_homogeneous_isotropic_materials74" style="font-size:114%;margin:0 4em"><a href="Elastic_modulus" title="Elastic modulus">Elastic moduli</a> for homogeneous <a href="Isotropic" class="mw-redirect" title="Isotropic">isotropic</a> materials</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em">
<ul><li><a href="Bulk_modulus" title="Bulk modulus">Bulk modulus</a> (<span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>K</mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle K}</annotation>
</semantics>
</math></span><img src="./2b76fce82a62ed5461908f0dc8f037de4e3686b0.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.066ex; height:2.176ex;" alt="{\displaystyle K}" loading="lazy"></span>)</li>
<li><a href="Young's_modulus" title="Young's modulus">Young's modulus</a> (<span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>E</mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle E}</annotation>
</semantics>
</math></span><img src="./4232c9de2ee3eec0a9c0a19b15ab92daa6223f9b.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.776ex; height:2.176ex;" alt="{\displaystyle E}" loading="lazy"></span>)</li>
<li><a href="Lam%C3%A9_parameters" title="Lamé parameters">Lamé's first parameter</a> (<span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda }">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>λ<!-- λ --></mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \lambda }</annotation>
</semantics>
</math></span><img src="./b43d0ea3c9c025af1be9128e62a18fa74bedda2a.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.355ex; height:2.176ex;" alt="{\displaystyle \lambda }" loading="lazy"></span>)</li>
<li><a href="Shear_modulus" title="Shear modulus">Shear modulus</a> (<span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle G,\mu }">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>G</mi>
<mo>,</mo>
<mi>μ<!-- μ --></mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle G,\mu }</annotation>
</semantics>
</math></span><img src="./7ed0d290f164079e9704807191c18f9415457bea.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.262ex; height:2.676ex;" alt="{\displaystyle G,\mu }" loading="lazy"></span>)</li>
<li><a href="Poisson's_ratio" title="Poisson's ratio">Poisson's ratio</a> (<span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nu }">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>ν<!-- ν --></mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \nu }</annotation>
</semantics>
</math></span><img src="./c15bbbb971240cf328aba572178f091684585468.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.232ex; height:1.676ex;" alt="{\displaystyle \nu }" loading="lazy"></span>)</li>
<li> (<span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>M</mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle M}</annotation>
</semantics>
</math></span><img src="./f82cade9898ced02fdd08712e5f0c0151758a0dd.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.442ex; height:2.176ex;" alt="{\displaystyle M}" loading="lazy"></span>)</li></ul>
</div></td></tr></tbody></table></div>
<table class="wikitable mw-collapsible" width="100%" style="font-size:smaller;" align="center">
<tbody><tr>
<th colspan="8">Conversion formulae
</th></tr>
<tr>
<td colspan="8">Homogeneous isotropic linear elastic materials have their elastic properties uniquely determined by any two moduli among these; thus, given any two, any other of the elastic moduli can be calculated according to these formulas, provided both for 3D materials (first part of the table) and for 2D materials (second part).
</td></tr>
<tr style="text-align:center; background:light-dark(#F0F0FF,#2B2B8B); color:light-dark(black,white);">
<td style="text-align:left;"><b>3D formulae</b>
</td>
<td><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K=\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>K</mi>
<mo>=</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle K=\,}</annotation>
</semantics>
</math></span><img src="./d12e227970b986c1ff219badec7438f7383bfdb6.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.906ex; height:2.176ex;" alt="{\displaystyle K=\,}" loading="lazy"></span>
</td>
<td><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E=\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>E</mi>
<mo>=</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle E=\,}</annotation>
</semantics>
</math></span><img src="./b75f04c79769676b88c45d4fef023a01294b670a.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.616ex; height:2.176ex;" alt="{\displaystyle E=\,}" loading="lazy"></span>
</td>
<td><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda =\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>λ<!-- λ --></mi>
<mo>=</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \lambda =\,}</annotation>
</semantics>
</math></span><img src="./fdf13c116950ce78ddbc7a016c3cd804e23ea86d.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.196ex; height:2.176ex;" alt="{\displaystyle \lambda =\,}" loading="lazy"></span>
</td>
<td><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle G=\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>G</mi>
<mo>=</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle G=\,}</annotation>
</semantics>
</math></span><img src="./fa8a892590600356bf9957268977269f386821c6.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.667ex; height:2.176ex;" alt="{\displaystyle G=\,}" loading="lazy"></span>
</td>
<td><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nu =\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>ν<!-- ν --></mi>
<mo>=</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \nu =\,}</annotation>
</semantics>
</math></span><img src="./3b632d33a8bb2255e8a086b63953c599d3b6a718.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.073ex; height:1.676ex;" alt="{\displaystyle \nu =\,}" loading="lazy"></span>
</td>
<td><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M=\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>M</mi>
<mo>=</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle M=\,}</annotation>
</semantics>
</math></span><img src="./843dc939c547010c55bd7753f7c94e6996934ca4.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.283ex; height:2.176ex;" alt="{\displaystyle M=\,}" loading="lazy"></span>
</td>
<td>Notes
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (K,\,E)}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>K</mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>E</mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (K,\,E)}</annotation>
</semantics>
</math></span><img src="./996a015d617843aa00212a26839fbae210c834a4.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.072ex; height:2.843ex;" alt="{\displaystyle (K,\,E)}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3K(3K-E)}{9K-E}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo stretchy="false">(</mo>
<mn>3</mn>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mi>E</mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>9</mn>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mi>E</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3K(3K-E)}{9K-E}}}</annotation>
</semantics>
</math></span><img src="./0cad8348883df915b9b03fb2820ec6b096640f4f.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:9.215ex; height:4.343ex;" alt="{\displaystyle {\tfrac {3K(3K-E)}{9K-E}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3KE}{9K-E}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mi>E</mi>
</mrow>
<mrow>
<mn>9</mn>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mi>E</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3KE}{9K-E}}}</annotation>
</semantics>
</math></span><img src="./cdd679253fa436a6900d1cf949d909d3b09cf3c0.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:5.653ex; height:3.843ex;" alt="{\displaystyle {\tfrac {3KE}{9K-E}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3K-E}{6K}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mi>E</mi>
</mrow>
<mrow>
<mn>6</mn>
<mi>K</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3K-E}{6K}}}</annotation>
</semantics>
</math></span><img src="./52e22f238cec78b55c3b21bb03bd0f6bc122006b.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:5.653ex; height:3.843ex;" alt="{\displaystyle {\tfrac {3K-E}{6K}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3K(3K+E)}{9K-E}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo stretchy="false">(</mo>
<mn>3</mn>
<mi>K</mi>
<mo>+</mo>
<mi>E</mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>9</mn>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mi>E</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3K(3K+E)}{9K-E}}}</annotation>
</semantics>
</math></span><img src="./9c924e463a20a0f63bd2f876283e3fb1a965db68.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:9.215ex; height:4.343ex;" alt="{\displaystyle {\tfrac {3K(3K+E)}{9K-E}}}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (K,\,\lambda )}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>K</mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>λ<!-- λ --></mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (K,\,\lambda )}</annotation>
</semantics>
</math></span><img src="./423e5f4d1c8ee39ba6de7bc5e48df6837fff232a.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.652ex; height:2.843ex;" alt="{\displaystyle (K,\,\lambda )}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {9K(K-\lambda )}{3K-\lambda }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>9</mn>
<mi>K</mi>
<mo stretchy="false">(</mo>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mi>λ<!-- λ --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mi>λ<!-- λ --></mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {9K(K-\lambda )}{3K-\lambda }}}</annotation>
</semantics>
</math></span><img src="./3233ebb13df867ba5551fefa7e092733fea80c42.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:8.096ex; height:4.343ex;" alt="{\displaystyle {\tfrac {9K(K-\lambda )}{3K-\lambda }}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3(K-\lambda )}{2}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mo stretchy="false">(</mo>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mi>λ<!-- λ --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mn>2</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3(K-\lambda )}{2}}}</annotation>
</semantics>
</math></span><img src="./e4d4ffacd8fb2de88a240a663a13067a7c3e921f.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:6.635ex; height:4.176ex;" alt="{\displaystyle {\tfrac {3(K-\lambda )}{2}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda }{3K-\lambda }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mi>λ<!-- λ --></mi>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mi>λ<!-- λ --></mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda }{3K-\lambda }}}</annotation>
</semantics>
</math></span><img src="./f1c70a68ad578ac446b83ae2af368a85554e2f4d.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:5.356ex; height:3.843ex;" alt="{\displaystyle {\tfrac {\lambda }{3K-\lambda }}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3K-2\lambda \,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mn>3</mn>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>λ<!-- λ --></mi>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle 3K-2\lambda \,}</annotation>
</semantics>
</math></span><img src="./dccc234a5195e4cc32a106e7280ce2e082a9da43.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:8.974ex; height:2.343ex;" alt="{\displaystyle 3K-2\lambda \,}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (K,\,G)}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>K</mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>G</mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (K,\,G)}</annotation>
</semantics>
</math></span><img src="./bae48568e7a818eb72621f7cd602d0effc7e3648.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.123ex; height:2.843ex;" alt="{\displaystyle (K,\,G)}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {9KG}{3K+G}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>9</mn>
<mi>K</mi>
<mi>G</mi>
</mrow>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo>+</mo>
<mi>G</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {9KG}{3K+G}}}</annotation>
</semantics>
</math></span><img src="./5440c8c124cded6c55e978cbf920e76e4883a51b.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:5.689ex; height:4.009ex;" alt="{\displaystyle {\tfrac {9KG}{3K+G}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K-{\tfrac {2G}{3}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>K</mi>
<mo>−<!-- − --></mo>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<mi>G</mi>
</mrow>
<mn>3</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle K-{\tfrac {2G}{3}}}</annotation>
</semantics>
</math></span><img src="./a5272b70cff4a6a17225acf399ea27a1948b4f59.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:7.856ex; height:3.843ex;" alt="{\displaystyle K-{\tfrac {2G}{3}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3K-2G}{2(3K+G)}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>G</mi>
</mrow>
<mrow>
<mn>2</mn>
<mo stretchy="false">(</mo>
<mn>3</mn>
<mi>K</mi>
<mo>+</mo>
<mi>G</mi>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3K-2G}{2(3K+G)}}}</annotation>
</semantics>
</math></span><img src="./b11dec1ab89c26fc5ad5719fd2932e1dc68f4cb3.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.791ex; height:4.343ex;" alt="{\displaystyle {\tfrac {3K-2G}{2(3K+G)}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K+{\tfrac {4G}{3}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>K</mi>
<mo>+</mo>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>4</mn>
<mi>G</mi>
</mrow>
<mn>3</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle K+{\tfrac {4G}{3}}}</annotation>
</semantics>
</math></span><img src="./0a71d02abd602def118ed9f9228f0f686a06448d.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:7.856ex; height:3.843ex;" alt="{\displaystyle K+{\tfrac {4G}{3}}}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (K,\,\nu )}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>K</mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (K,\,\nu )}</annotation>
</semantics>
</math></span><img src="./b2f6df6fb9936ea5a0e15358e66802cafe9b747d.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.528ex; height:2.843ex;" alt="{\displaystyle (K,\,\nu )}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3K(1-2\nu )\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mn>3</mn>
<mi>K</mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle 3K(1-2\nu )\,}</annotation>
</semantics>
</math></span><img src="./dd567543f973005ad7031789e6219f93463e6d87.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.822ex; height:2.843ex;" alt="{\displaystyle 3K(1-2\nu )\,}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3K\nu }{1+\nu }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mi>ν<!-- ν --></mi>
</mrow>
<mrow>
<mn>1</mn>
<mo>+</mo>
<mi>ν<!-- ν --></mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3K\nu }{1+\nu }}}</annotation>
</semantics>
</math></span><img src="./1194366850f7d5421ab50b6c2706e58498f7ea96.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:3.99ex; height:3.843ex;" alt="{\displaystyle {\tfrac {3K\nu }{1+\nu }}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3K(1-2\nu )}{2(1+\nu )}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>2</mn>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3K(1-2\nu )}{2(1+\nu )}}}</annotation>
</semantics>
</math></span><img src="./31c8588d1514e15c703af716b1d98c94ef2ad4c9.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.192ex; height:4.843ex;" alt="{\displaystyle {\tfrac {3K(1-2\nu )}{2(1+\nu )}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3K(1-\nu )}{1+\nu }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>1</mn>
<mo>+</mo>
<mi>ν<!-- ν --></mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3K(1-\nu )}{1+\nu }}}</annotation>
</semantics>
</math></span><img src="./c09e8d1337a766b61ba2b9948fa4af1503d2ede0.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:7.37ex; height:4.343ex;" alt="{\displaystyle {\tfrac {3K(1-\nu )}{1+\nu }}}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (K,\,M)}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>K</mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>M</mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (K,\,M)}</annotation>
</semantics>
</math></span><img src="./1bb74f97b79a7d923d7036a9006af1437a58615e.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.738ex; height:2.843ex;" alt="{\displaystyle (K,\,M)}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {9K(M-K)}{3K+M}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>9</mn>
<mi>K</mi>
<mo stretchy="false">(</mo>
<mi>M</mi>
<mo>−<!-- − --></mo>
<mi>K</mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo>+</mo>
<mi>M</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {9K(M-K)}{3K+M}}}</annotation>
</semantics>
</math></span><img src="./f0a754879220d62e4a49b2d4c5a9a5ac9ef939a8.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:8.865ex; height:4.343ex;" alt="{\displaystyle {\tfrac {9K(M-K)}{3K+M}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3K-M}{2}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mi>M</mi>
</mrow>
<mn>2</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3K-M}{2}}}</annotation>
</semantics>
</math></span><img src="./7da3dd9c26c427aaeb80a6f841626124c66dc665.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:6.124ex; height:3.676ex;" alt="{\displaystyle {\tfrac {3K-M}{2}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3(M-K)}{4}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mo stretchy="false">(</mo>
<mi>M</mi>
<mo>−<!-- − --></mo>
<mi>K</mi>
<mo stretchy="false">)</mo>
</mrow>
<mn>4</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3(M-K)}{4}}}</annotation>
</semantics>
</math></span><img src="./322bd48e7d8cf39df6f267e9d4fb836db4a73702.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:7.404ex; height:4.176ex;" alt="{\displaystyle {\tfrac {3(M-K)}{4}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3K-M}{3K+M}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo>−<!-- − --></mo>
<mi>M</mi>
</mrow>
<mrow>
<mn>3</mn>
<mi>K</mi>
<mo>+</mo>
<mi>M</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3K-M}{3K+M}}}</annotation>
</semantics>
</math></span><img src="./73b822c78e943da6485611dfbdc74be5f78b15b6.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:6.124ex; height:3.843ex;" alt="{\displaystyle {\tfrac {3K-M}{3K+M}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (E,\,\lambda )}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>E</mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>λ<!-- λ --></mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (E,\,\lambda )}</annotation>
</semantics>
</math></span><img src="./b5c948c9a642e3318131878edf4a3d45bfb90f8d.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.361ex; height:2.843ex;" alt="{\displaystyle (E,\,\lambda )}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E+3\lambda +R}{6}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>E</mi>
<mo>+</mo>
<mn>3</mn>
<mi>λ<!-- λ --></mi>
<mo>+</mo>
<mi>R</mi>
</mrow>
<mn>6</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E+3\lambda +R}{6}}}</annotation>
</semantics>
</math></span><img src="./a38418330bce4527d86325b426550cd9e160c575.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:7.676ex; height:3.843ex;" alt="{\displaystyle {\tfrac {E+3\lambda +R}{6}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E-3\lambda +R}{4}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>E</mi>
<mo>−<!-- − --></mo>
<mn>3</mn>
<mi>λ<!-- λ --></mi>
<mo>+</mo>
<mi>R</mi>
</mrow>
<mn>4</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E-3\lambda +R}{4}}}</annotation>
</semantics>
</math></span><img src="./afb261c4ee6f07fd89951fa28248a90f7b9d3025.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:7.676ex; height:3.676ex;" alt="{\displaystyle {\tfrac {E-3\lambda +R}{4}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2\lambda }{E+\lambda +R}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<mi>λ<!-- λ --></mi>
</mrow>
<mrow>
<mi>E</mi>
<mo>+</mo>
<mi>λ<!-- λ --></mi>
<mo>+</mo>
<mi>R</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {2\lambda }{E+\lambda +R}}}</annotation>
</semantics>
</math></span><img src="./c2a996d0bd87fb28da723345b090392d12e01118.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:6.854ex; height:3.843ex;" alt="{\displaystyle {\tfrac {2\lambda }{E+\lambda +R}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E-\lambda +R}{2}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>E</mi>
<mo>−<!-- − --></mo>
<mi>λ<!-- λ --></mi>
<mo>+</mo>
<mi>R</mi>
</mrow>
<mn>2</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E-\lambda +R}{2}}}</annotation>
</semantics>
</math></span><img src="./372ceea38591e2c69d5087588cab00087c749abb.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:6.854ex; height:3.676ex;" alt="{\displaystyle {\tfrac {E-\lambda +R}{2}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R={\sqrt {E^{2}+9\lambda ^{2}+2E\lambda }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>R</mi>
<mo>=</mo>
<mrow class="MJX-TeXAtom-ORD">
<msqrt>
<msup>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
</mrow>
</msup>
<mo>+</mo>
<mn>9</mn>
<msup>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
</mrow>
</msup>
<mo>+</mo>
<mn>2</mn>
<mi>E</mi>
<mi>λ<!-- λ --></mi>
</msqrt>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle R={\sqrt {E^{2}+9\lambda ^{2}+2E\lambda }}}</annotation>
</semantics>
</math></span><img src="./8fedc22d764b6af93b68ad27937582d75919d76b.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:23.58ex; height:3.509ex;" alt="{\displaystyle R={\sqrt {E^{2}+9\lambda ^{2}+2E\lambda }}}" loading="lazy"></span>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (E,\,G)}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>E</mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>G</mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (E,\,G)}</annotation>
</semantics>
</math></span><img src="./ee52d776f2cb07c88fbac6567029158dff718e01.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.833ex; height:2.843ex;" alt="{\displaystyle (E,\,G)}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {EG}{3(3G-E)}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>E</mi>
<mi>G</mi>
</mrow>
<mrow>
<mn>3</mn>
<mo stretchy="false">(</mo>
<mn>3</mn>
<mi>G</mi>
<mo>−<!-- − --></mo>
<mi>E</mi>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {EG}{3(3G-E)}}}</annotation>
</semantics>
</math></span><img src="./94fef5491daefd3b9667bfd32eb6e4b3f31a67aa.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.585ex; height:4.343ex;" alt="{\displaystyle {\tfrac {EG}{3(3G-E)}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {G(E-2G)}{3G-E}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>G</mi>
<mo stretchy="false">(</mo>
<mi>E</mi>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>G</mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>3</mn>
<mi>G</mi>
<mo>−<!-- − --></mo>
<mi>E</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {G(E-2G)}{3G-E}}}</annotation>
</semantics>
</math></span><img src="./2b592ec0480b2ca3a99ea29d9cbd0b631d777d4d.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:8.055ex; height:4.509ex;" alt="{\displaystyle {\tfrac {G(E-2G)}{3G-E}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E}{2G}}-1}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mi>E</mi>
<mrow>
<mn>2</mn>
<mi>G</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
<mo>−<!-- − --></mo>
<mn>1</mn>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E}{2G}}-1}</annotation>
</semantics>
</math></span><img src="./b9fb70b8d93a1714d230f745d4bb0a3aa81031a5.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:6.953ex; height:3.676ex;" alt="{\displaystyle {\tfrac {E}{2G}}-1}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {G(4G-E)}{3G-E}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>G</mi>
<mo stretchy="false">(</mo>
<mn>4</mn>
<mi>G</mi>
<mo>−<!-- − --></mo>
<mi>E</mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>3</mn>
<mi>G</mi>
<mo>−<!-- − --></mo>
<mi>E</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {G(4G-E)}{3G-E}}}</annotation>
</semantics>
</math></span><img src="./06fef6489910b32a86944f5fe2f5f0c1473e87c1.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:8.055ex; height:4.509ex;" alt="{\displaystyle {\tfrac {G(4G-E)}{3G-E}}}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (E,\,\nu )}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>E</mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (E,\,\nu )}</annotation>
</semantics>
</math></span><img src="./7d858acfba62fc12da4ae6fa0759b9df87c51d96.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.238ex; height:2.843ex;" alt="{\displaystyle (E,\,\nu )}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E}{3(1-2\nu )}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mi>E</mi>
<mrow>
<mn>3</mn>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E}{3(1-2\nu )}}}</annotation>
</semantics>
</math></span><img src="./49073e20128a9ecf62b06e95a6e611808b4a1015.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.731ex; height:4.176ex;" alt="{\displaystyle {\tfrac {E}{3(1-2\nu )}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E\nu }{(1+\nu )(1-2\nu )}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>E</mi>
<mi>ν<!-- ν --></mi>
</mrow>
<mrow>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E\nu }{(1+\nu )(1-2\nu )}}}</annotation>
</semantics>
</math></span><img src="./7aa443ecbbd2c92a028d26ee25863bbc1592b4b5.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:10.16ex; height:4.176ex;" alt="{\displaystyle {\tfrac {E\nu }{(1+\nu )(1-2\nu )}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E}{2(1+\nu )}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mi>E</mi>
<mrow>
<mn>2</mn>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E}{2(1+\nu )}}}</annotation>
</semantics>
</math></span><img src="./ea91afdc4bb2364d6deb22ee5653d33451c8d7b2.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:5.909ex; height:4.176ex;" alt="{\displaystyle {\tfrac {E}{2(1+\nu )}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E(1-\nu )}{(1+\nu )(1-2\nu )}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>E</mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E(1-\nu )}{(1+\nu )(1-2\nu )}}}</annotation>
</semantics>
</math></span><img src="./7abf15539e84aef12ea7f6aed6ac61b939e0897a.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:10.16ex; height:4.843ex;" alt="{\displaystyle {\tfrac {E(1-\nu )}{(1+\nu )(1-2\nu )}}}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (E,\,M)}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>E</mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>M</mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (E,\,M)}</annotation>
</semantics>
</math></span><img src="./029a8efce5680f60845e7b4029cd8d714726474c.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.448ex; height:2.843ex;" alt="{\displaystyle (E,\,M)}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3M-E+S}{6}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mi>M</mi>
<mo>−<!-- − --></mo>
<mi>E</mi>
<mo>+</mo>
<mi>S</mi>
</mrow>
<mn>6</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3M-E+S}{6}}}</annotation>
</semantics>
</math></span><img src="./6df880ae07d8878db46e66ec91cde699a1172bbf.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:8.258ex; height:3.843ex;" alt="{\displaystyle {\tfrac {3M-E+S}{6}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {M-E+S}{4}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>M</mi>
<mo>−<!-- − --></mo>
<mi>E</mi>
<mo>+</mo>
<mi>S</mi>
</mrow>
<mn>4</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {M-E+S}{4}}}</annotation>
</semantics>
</math></span><img src="./cd8aa8a8f133559b802bf384ff144d2bfec3280c.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:7.436ex; height:3.676ex;" alt="{\displaystyle {\tfrac {M-E+S}{4}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3M+E-S}{8}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>3</mn>
<mi>M</mi>
<mo>+</mo>
<mi>E</mi>
<mo>−<!-- − --></mo>
<mi>S</mi>
</mrow>
<mn>8</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {3M+E-S}{8}}}</annotation>
</semantics>
</math></span><img src="./53cddf1576995522248b1a396e8a790309691870.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:8.258ex; height:3.843ex;" alt="{\displaystyle {\tfrac {3M+E-S}{8}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E-M+S}{4M}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>E</mi>
<mo>−<!-- − --></mo>
<mi>M</mi>
<mo>+</mo>
<mi>S</mi>
</mrow>
<mrow>
<mn>4</mn>
<mi>M</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E-M+S}{4M}}}</annotation>
</semantics>
</math></span><img src="./5ba7b57d39482e416644c8d99a1ac18029b84711.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:7.436ex; height:3.676ex;" alt="{\displaystyle {\tfrac {E-M+S}{4M}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S=\pm {\sqrt {E^{2}+9M^{2}-10EM}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>S</mi>
<mo>=</mo>
<mo>±<!-- ± --></mo>
<mrow class="MJX-TeXAtom-ORD">
<msqrt>
<msup>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
</mrow>
</msup>
<mo>+</mo>
<mn>9</mn>
<msup>
<mi>M</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
</mrow>
</msup>
<mo>−<!-- − --></mo>
<mn>10</mn>
<mi>E</mi>
<mi>M</mi>
</msqrt>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle S=\pm {\sqrt {E^{2}+9M^{2}-10EM}}}</annotation>
</semantics>
</math></span><img src="./91fb683e4525bf2f8fef0c060113d446025ec2a5.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:28.517ex; height:3.509ex;" alt="{\displaystyle S=\pm {\sqrt {E^{2}+9M^{2}-10EM}}}" loading="lazy"></span><br>
<p>There are two valid solutions.<br>
The plus sign leads to <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nu \geq 0}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>ν<!-- ν --></mi>
<mo>≥<!-- ≥ --></mo>
<mn>0</mn>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \nu \geq 0}</annotation>
</semantics>
</math></span><img src="./dec80f16f256f3990d91eb9966a90bbe0baee4b0.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.493ex; height:2.343ex;" alt="{\displaystyle \nu \geq 0}" loading="lazy"></span>.<br>
</p>
The minus sign leads to <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nu \leq 0}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>ν<!-- ν --></mi>
<mo>≤<!-- ≤ --></mo>
<mn>0</mn>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \nu \leq 0}</annotation>
</semantics>
</math></span><img src="./030f3e40f7ced9ec8cc73d667aa15f61f0a377e9.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.493ex; height:2.343ex;" alt="{\displaystyle \nu \leq 0}" loading="lazy"></span>.<br><p class="mw-empty-elt"></p>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (\lambda ,\,G)}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>λ<!-- λ --></mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>G</mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (\lambda ,\,G)}</annotation>
</semantics>
</math></span><img src="./7bffd6d22cc67fd1a35a585b13d7b32a74ce6b1f.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.412ex; height:2.843ex;" alt="{\displaystyle (\lambda ,\,G)}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda +{\tfrac {2G}{3}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>λ<!-- λ --></mi>
<mo>+</mo>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<mi>G</mi>
</mrow>
<mn>3</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \lambda +{\tfrac {2G}{3}}}</annotation>
</semantics>
</math></span><img src="./bfcd78f0e042c88176c6ba5c0f8dcebf89fe223a.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:7.145ex; height:3.843ex;" alt="{\displaystyle \lambda +{\tfrac {2G}{3}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {G(3\lambda +2G)}{\lambda +G}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>G</mi>
<mo stretchy="false">(</mo>
<mn>3</mn>
<mi>λ<!-- λ --></mi>
<mo>+</mo>
<mn>2</mn>
<mi>G</mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mi>λ<!-- λ --></mi>
<mo>+</mo>
<mi>G</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {G(3\lambda +2G)}{\lambda +G}}}</annotation>
</semantics>
</math></span><img src="./d0994ccfa74411f35a8f0762379eddc3660bfec4.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:8.58ex; height:4.509ex;" alt="{\displaystyle {\tfrac {G(3\lambda +2G)}{\lambda +G}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda }{2(\lambda +G)}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mi>λ<!-- λ --></mi>
<mrow>
<mn>2</mn>
<mo stretchy="false">(</mo>
<mi>λ<!-- λ --></mi>
<mo>+</mo>
<mi>G</mi>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda }{2(\lambda +G)}}}</annotation>
</semantics>
</math></span><img src="./569977b3b51798797b8ed7d287e828ef07cdb54a.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.466ex; height:4.343ex;" alt="{\displaystyle {\tfrac {\lambda }{2(\lambda +G)}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda +2G\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>λ<!-- λ --></mi>
<mo>+</mo>
<mn>2</mn>
<mi>G</mi>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \lambda +2G\,}</annotation>
</semantics>
</math></span><img src="./f04bd3c70df3389cd672961e8ba5636aa8d5fb48.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:7.572ex; height:2.343ex;" alt="{\displaystyle \lambda +2G\,}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (\lambda ,\,\nu )}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>λ<!-- λ --></mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (\lambda ,\,\nu )}</annotation>
</semantics>
</math></span><img src="./cbafda646cd2c8251ec73dbe5efd428aee76544e.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.818ex; height:2.843ex;" alt="{\displaystyle (\lambda ,\,\nu )}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda (1+\nu )}{3\nu }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>λ<!-- λ --></mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>3</mn>
<mi>ν<!-- ν --></mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda (1+\nu )}{3\nu }}}</annotation>
</semantics>
</math></span><img src="./f8668d7ae1d4ba0bea79bc24b22969de2e0020b1.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:6.046ex; height:4.343ex;" alt="{\displaystyle {\tfrac {\lambda (1+\nu )}{3\nu }}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda (1+\nu )(1-2\nu )}{\nu }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>λ<!-- λ --></mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mi>ν<!-- ν --></mi>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda (1+\nu )(1-2\nu )}{\nu }}}</annotation>
</semantics>
</math></span><img src="./16ba478690ce90bc61e86d5b21ef89e8d97c0223.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:11.119ex; height:4.009ex;" alt="{\displaystyle {\tfrac {\lambda (1+\nu )(1-2\nu )}{\nu }}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda (1-2\nu )}{2\nu }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>λ<!-- λ --></mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda (1-2\nu )}{2\nu }}}</annotation>
</semantics>
</math></span><img src="./c0ae2f9d9801984c3a421791f68ed6d206906ce4.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:6.868ex; height:4.176ex;" alt="{\displaystyle {\tfrac {\lambda (1-2\nu )}{2\nu }}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda (1-\nu )}{\nu }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>λ<!-- λ --></mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mi>ν<!-- ν --></mi>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda (1-\nu )}{\nu }}}</annotation>
</semantics>
</math></span><img src="./a4b0e21d0522f123eb9043c4e4352bbfd0944365.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:6.046ex; height:4.009ex;" alt="{\displaystyle {\tfrac {\lambda (1-\nu )}{\nu }}}" loading="lazy"></span>
</td>
<td style="text-align:center;">Cannot be used when <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nu =0\Leftrightarrow \lambda =0}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>ν<!-- ν --></mi>
<mo>=</mo>
<mn>0</mn>
<mo stretchy="false">⇔<!-- ⇔ --></mo>
<mi>λ<!-- λ --></mi>
<mo>=</mo>
<mn>0</mn>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \nu =0\Leftrightarrow \lambda =0}</annotation>
</semantics>
</math></span><img src="./d7e6655bc4e2949eee61d990716a2b8af684651d.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:14.723ex; height:2.176ex;" alt="{\displaystyle \nu =0\Leftrightarrow \lambda =0}" loading="lazy"></span>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (\lambda ,\,M)}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>λ<!-- λ --></mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>M</mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (\lambda ,\,M)}</annotation>
</semantics>
</math></span><img src="./3242e9c8067dcfac72d5c96bcec80ccda592d34e.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.028ex; height:2.843ex;" alt="{\displaystyle (\lambda ,\,M)}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {M+2\lambda }{3}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>M</mi>
<mo>+</mo>
<mn>2</mn>
<mi>λ<!-- λ --></mi>
</mrow>
<mn>3</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {M+2\lambda }{3}}}</annotation>
</semantics>
</math></span><img src="./1df1550f26280e13b63e387c950d8e73a06d1820.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:5.622ex; height:3.843ex;" alt="{\displaystyle {\tfrac {M+2\lambda }{3}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {(M-\lambda )(M+2\lambda )}{M+\lambda }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mo stretchy="false">(</mo>
<mi>M</mi>
<mo>−<!-- − --></mo>
<mi>λ<!-- λ --></mi>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mi>M</mi>
<mo>+</mo>
<mn>2</mn>
<mi>λ<!-- λ --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mi>M</mi>
<mo>+</mo>
<mi>λ<!-- λ --></mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {(M-\lambda )(M+2\lambda )}{M+\lambda }}}</annotation>
</semantics>
</math></span><img src="./94c594e157229dfa81918f2d6de968ffe4cea963.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:12.144ex; height:4.343ex;" alt="{\displaystyle {\tfrac {(M-\lambda )(M+2\lambda )}{M+\lambda }}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {M-\lambda }{2}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>M</mi>
<mo>−<!-- − --></mo>
<mi>λ<!-- λ --></mi>
</mrow>
<mn>2</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {M-\lambda }{2}}}</annotation>
</semantics>
</math></span><img src="./ba0c175995ebb2020f1b31ad369bf52374d87816.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:4.8ex; height:3.676ex;" alt="{\displaystyle {\tfrac {M-\lambda }{2}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda }{M+\lambda }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mi>λ<!-- λ --></mi>
<mrow>
<mi>M</mi>
<mo>+</mo>
<mi>λ<!-- λ --></mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda }{M+\lambda }}}</annotation>
</semantics>
</math></span><img src="./6926e4029cdea679bccd9d770206e1d6ba9cc097.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:4.8ex; height:3.843ex;" alt="{\displaystyle {\tfrac {\lambda }{M+\lambda }}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (G,\,\nu )}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>G</mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (G,\,\nu )}</annotation>
</semantics>
</math></span><img src="./03de031e73561f10f24638feaf69d90abe32aea5.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.289ex; height:2.843ex;" alt="{\displaystyle (G,\,\nu )}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2G(1+\nu )}{3(1-2\nu )}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<mi>G</mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>3</mn>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {2G(1+\nu )}{3(1-2\nu )}}}</annotation>
</semantics>
</math></span><img src="./e7f8f5046df3cc6a7152f9fa56845d5dbce78033.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.201ex; height:4.843ex;" alt="{\displaystyle {\tfrac {2G(1+\nu )}{3(1-2\nu )}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2G(1+\nu )\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mn>2</mn>
<mi>G</mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle 2G(1+\nu )\,}</annotation>
</semantics>
</math></span><img src="./8ecc39d8499aa0848351a6510b116bd2dfea06d8.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.421ex; height:2.843ex;" alt="{\displaystyle 2G(1+\nu )\,}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2G\nu }{1-2\nu }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<mi>G</mi>
<mi>ν<!-- ν --></mi>
</mrow>
<mrow>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {2G\nu }{1-2\nu }}}</annotation>
</semantics>
</math></span><img src="./d011b18df127233873f4af03b50318509583006e.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:4.63ex; height:3.843ex;" alt="{\displaystyle {\tfrac {2G\nu }{1-2\nu }}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2G(1-\nu )}{1-2\nu }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<mi>G</mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {2G(1-\nu )}{1-2\nu }}}</annotation>
</semantics>
</math></span><img src="./036c5b70861f3145642c2d797f6cbf666ea26dbc.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:7.201ex; height:4.343ex;" alt="{\displaystyle {\tfrac {2G(1-\nu )}{1-2\nu }}}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (G,\,M)}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>G</mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>M</mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (G,\,M)}</annotation>
</semantics>
</math></span><img src="./40060aa6964ead07257199a60095ec47599c9455.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.499ex; height:2.843ex;" alt="{\displaystyle (G,\,M)}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M-{\tfrac {4G}{3}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>M</mi>
<mo>−<!-- − --></mo>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>4</mn>
<mi>G</mi>
</mrow>
<mn>3</mn>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle M-{\tfrac {4G}{3}}}</annotation>
</semantics>
</math></span><img src="./bf22c9741623f0209e7585845196a3fa1ed6282a.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:8.232ex; height:3.843ex;" alt="{\displaystyle M-{\tfrac {4G}{3}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {G(3M-4G)}{M-G}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>G</mi>
<mo stretchy="false">(</mo>
<mn>3</mn>
<mi>M</mi>
<mo>−<!-- − --></mo>
<mn>4</mn>
<mi>G</mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mi>M</mi>
<mo>−<!-- − --></mo>
<mi>G</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {G(3M-4G)}{M-G}}}</annotation>
</semantics>
</math></span><img src="./0b53b71a131246c16879e071ac283f0cf16bc255.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:9.348ex; height:4.509ex;" alt="{\displaystyle {\tfrac {G(3M-4G)}{M-G}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M-2G\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>M</mi>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>G</mi>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle M-2G\,}</annotation>
</semantics>
</math></span><img src="./4777994467bbd835a560ddf3d9b7a9bb88f6be15.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:8.659ex; height:2.343ex;" alt="{\displaystyle M-2G\,}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {M-2G}{2M-2G}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>M</mi>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>G</mi>
</mrow>
<mrow>
<mn>2</mn>
<mi>M</mi>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>G</mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {M-2G}{2M-2G}}}</annotation>
</semantics>
</math></span><img src="./d95ab5446ac8be62e025bbc4461d19ad03ddb0ba.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:6.777ex; height:4.009ex;" alt="{\displaystyle {\tfrac {M-2G}{2M-2G}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (\nu ,\,M)}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<mi>ν<!-- ν --></mi>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<mi>M</mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (\nu ,\,M)}</annotation>
</semantics>
</math></span><img src="./1fb7e1e592dc27b6b7dd908dc0f1eaae129495bb.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.905ex; height:2.843ex;" alt="{\displaystyle (\nu ,\,M)}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {M(1+\nu )}{3(1-\nu )}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>M</mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>3</mn>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {M(1+\nu )}{3(1-\nu )}}}</annotation>
</semantics>
</math></span><img src="./6b555e35103ae080362cc5ea5e71c0a5fb01dfb3.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.814ex; height:4.843ex;" alt="{\displaystyle {\tfrac {M(1+\nu )}{3(1-\nu )}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {M(1+\nu )(1-2\nu )}{1-\nu }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>M</mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mi>ν<!-- ν --></mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {M(1+\nu )(1-2\nu )}{1-\nu }}}</annotation>
</semantics>
</math></span><img src="./c18235e12644cbb022f23fb36c11fca9164c19ee.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:11.887ex; height:4.343ex;" alt="{\displaystyle {\tfrac {M(1+\nu )(1-2\nu )}{1-\nu }}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {M\nu }{1-\nu }}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>M</mi>
<mi>ν<!-- ν --></mi>
</mrow>
<mrow>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mi>ν<!-- ν --></mi>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {M\nu }{1-\nu }}}</annotation>
</semantics>
</math></span><img src="./a015af678fe0800a1b50744d82084099f15f462a.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:3.808ex; height:3.676ex;" alt="{\displaystyle {\tfrac {M\nu }{1-\nu }}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {M(1-2\nu )}{2(1-\nu )}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mi>M</mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mn>2</mn>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>2</mn>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mi>ν<!-- ν --></mi>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {M(1-2\nu )}{2(1-\nu )}}}</annotation>
</semantics>
</math></span><img src="./a076de87f5e08e5bb0733e7008687fec9f88396d.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.636ex; height:4.843ex;" alt="{\displaystyle {\tfrac {M(1-2\nu )}{2(1-\nu )}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;">
</td>
<td>
</td></tr>
<tr style="text-align:center; background:light-dark(#F0F0FF,#2B2B8B); color:light-dark(black,white);">
<td style="text-align:left;"><b>2D formulae</b>
</td>
<td><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K_{\mathrm {2D} }=\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>=</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle K_{\mathrm {2D} }=\,}</annotation>
</semantics>
</math></span><img src="./5a6c0547931c4c1e3cc4ac771a535617a442d98d.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.123ex; height:2.509ex;" alt="{\displaystyle K_{\mathrm {2D} }=\,}" loading="lazy"></span>
</td>
<td><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E_{\mathrm {2D} }=\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>=</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle E_{\mathrm {2D} }=\,}</annotation>
</semantics>
</math></span><img src="./145ff1eddd10383e2d0bf4f6eff8b5eeedb448f1.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.865ex; height:2.509ex;" alt="{\displaystyle E_{\mathrm {2D} }=\,}" loading="lazy"></span>
</td>
<td><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda _{\mathrm {2D} }=\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>=</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \lambda _{\mathrm {2D} }=\,}</annotation>
</semantics>
</math></span><img src="./70b691041358c0200dc4c170da6b8b62706e44a0.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.505ex; height:2.509ex;" alt="{\displaystyle \lambda _{\mathrm {2D} }=\,}" loading="lazy"></span>
</td>
<td><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle G_{\mathrm {2D} }=\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>=</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle G_{\mathrm {2D} }=\,}</annotation>
</semantics>
</math></span><img src="./b43b00c53cda00e94658abbcd45ed156af4c1d4a.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.977ex; height:2.509ex;" alt="{\displaystyle G_{\mathrm {2D} }=\,}" loading="lazy"></span>
</td>
<td><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nu _{\mathrm {2D} }=\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>=</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \nu _{\mathrm {2D} }=\,}</annotation>
</semantics>
</math></span><img src="./2eb28b6f1e836172c154325538936f09b55de993.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.299ex; height:2.009ex;" alt="{\displaystyle \nu _{\mathrm {2D} }=\,}" loading="lazy"></span>
</td>
<td><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{\mathrm {2D} }=\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>M</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>=</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle M_{\mathrm {2D} }=\,}</annotation>
</semantics>
</math></span><img src="./ebd093c0d6e6d5c2b5f88ffbd7b23c3f0164cb20.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.404ex; height:2.509ex;" alt="{\displaystyle M_{\mathrm {2D} }=\,}" loading="lazy"></span>
</td>
<td>Notes
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (K_{\mathrm {2D} },\,E_{\mathrm {2D} })}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (K_{\mathrm {2D} },\,E_{\mathrm {2D} })}</annotation>
</semantics>
</math></span><img src="./e6610d0252ab47240ee324d52f781214686e42b7.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.538ex; height:2.843ex;" alt="{\displaystyle (K_{\mathrm {2D} },\,E_{\mathrm {2D} })}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2K_{\mathrm {2D} }(2K_{\mathrm {2D} }-E_{\mathrm {2D} })}{4K_{\mathrm {2D} }-E_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<mn>2</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>4</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {2K_{\mathrm {2D} }(2K_{\mathrm {2D} }-E_{\mathrm {2D} })}{4K_{\mathrm {2D} }-E_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./012be07cda111d8d43c481b55fba1c8cd9aa81da.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:14.594ex; height:4.676ex;" alt="{\displaystyle {\tfrac {2K_{\mathrm {2D} }(2K_{\mathrm {2D} }-E_{\mathrm {2D} })}{4K_{\mathrm {2D} }-E_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {K_{\mathrm {2D} }E_{\mathrm {2D} }}{4K_{\mathrm {2D} }-E_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
<mrow>
<mn>4</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {K_{\mathrm {2D} }E_{\mathrm {2D} }}{4K_{\mathrm {2D} }-E_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./d225deea4bae144ad3163a592c84cba353a18b4e.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:9.246ex; height:4.509ex;" alt="{\displaystyle {\tfrac {K_{\mathrm {2D} }E_{\mathrm {2D} }}{4K_{\mathrm {2D} }-E_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2K_{\mathrm {2D} }-E_{\mathrm {2D} }}{2K_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
<mrow>
<mn>2</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {2K_{\mathrm {2D} }-E_{\mathrm {2D} }}{2K_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./886783b8c6eba83c0af80170a833041a2bc91ff3.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:9.246ex; height:4.509ex;" alt="{\displaystyle {\tfrac {2K_{\mathrm {2D} }-E_{\mathrm {2D} }}{2K_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {4K_{\mathrm {2D} }^{2}}{4K_{\mathrm {2D} }-E_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>4</mn>
<msubsup>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
</mrow>
</msubsup>
</mrow>
<mrow>
<mn>4</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {4K_{\mathrm {2D} }^{2}}{4K_{\mathrm {2D} }-E_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./ce32fb675b775c5bdfca3f4b6659163a4b55c7b2.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:9.246ex; height:5.009ex;" alt="{\displaystyle {\tfrac {4K_{\mathrm {2D} }^{2}}{4K_{\mathrm {2D} }-E_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (K_{\mathrm {2D} },\,\lambda _{\mathrm {2D} })}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (K_{\mathrm {2D} },\,\lambda _{\mathrm {2D} })}</annotation>
</semantics>
</math></span><img src="./b8e41320590a7de1bdd74d77ec4fb8c5de98c735.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.178ex; height:2.843ex;" alt="{\displaystyle (K_{\mathrm {2D} },\,\lambda _{\mathrm {2D} })}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {4K_{\mathrm {2D} }(K_{\mathrm {2D} }-\lambda _{\mathrm {2D} })}{2K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>4</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>2</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {4K_{\mathrm {2D} }(K_{\mathrm {2D} }-\lambda _{\mathrm {2D} })}{2K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./ff62a0404edd2ddaa137a027c26dcc9f5d54aa35.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:13.517ex; height:4.676ex;" alt="{\displaystyle {\tfrac {4K_{\mathrm {2D} }(K_{\mathrm {2D} }-\lambda _{\mathrm {2D} })}{2K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}</annotation>
</semantics>
</math></span><img src="./8e0553633b1cd67e18d005fa1233921bba612bc7.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.788ex; height:2.509ex;" alt="{\displaystyle K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }}{2K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mrow>
<mn>2</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }}{2K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./c03fbcd4f8880f2e465c96ab0105a73d82e4d4b6.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:8.992ex; height:4.509ex;" alt="{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }}{2K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mn>2</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle 2K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}</annotation>
</semantics>
</math></span><img src="./dadcbb465024372d667d981060d1e22f78032843.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.951ex; height:2.509ex;" alt="{\displaystyle 2K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (K_{\mathrm {2D} },\,G_{\mathrm {2D} })}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (K_{\mathrm {2D} },\,G_{\mathrm {2D} })}</annotation>
</semantics>
</math></span><img src="./c0d212f7396611e34fe1d734027cedaef6af70a4.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.65ex; height:2.843ex;" alt="{\displaystyle (K_{\mathrm {2D} },\,G_{\mathrm {2D} })}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {4K_{\mathrm {2D} }G_{\mathrm {2D} }}{K_{\mathrm {2D} }+G_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>4</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
<mrow>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {4K_{\mathrm {2D} }G_{\mathrm {2D} }}{K_{\mathrm {2D} }+G_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./5a1d3ae4367d4e17dfd09606481b88a4ed978fb6.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:8.503ex; height:4.509ex;" alt="{\displaystyle {\tfrac {4K_{\mathrm {2D} }G_{\mathrm {2D} }}{K_{\mathrm {2D} }+G_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K_{\mathrm {2D} }-G_{\mathrm {2D} }}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle K_{\mathrm {2D} }-G_{\mathrm {2D} }}</annotation>
</semantics>
</math></span><img src="./b0c746a534f84ea0488149bfc6547318c71d73b5.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.26ex; height:2.509ex;" alt="{\displaystyle K_{\mathrm {2D} }-G_{\mathrm {2D} }}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {K_{\mathrm {2D} }-G_{\mathrm {2D} }}{K_{\mathrm {2D} }+G_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
<mrow>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {K_{\mathrm {2D} }-G_{\mathrm {2D} }}{K_{\mathrm {2D} }+G_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./de713b3e1c47a75f90ab0fbdd3f076a6b602edd6.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:8.503ex; height:4.509ex;" alt="{\displaystyle {\tfrac {K_{\mathrm {2D} }-G_{\mathrm {2D} }}{K_{\mathrm {2D} }+G_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle K_{\mathrm {2D} }+G_{\mathrm {2D} }}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle K_{\mathrm {2D} }+G_{\mathrm {2D} }}</annotation>
</semantics>
</math></span><img src="./fbb4c1d4cc074eaf126bacc62266e79366205b58.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.26ex; height:2.509ex;" alt="{\displaystyle K_{\mathrm {2D} }+G_{\mathrm {2D} }}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (K_{\mathrm {2D} },\,\nu _{\mathrm {2D} })}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (K_{\mathrm {2D} },\,\nu _{\mathrm {2D} })}</annotation>
</semantics>
</math></span><img src="./e283c72d13d40002703e71729b759b3e50c537f9.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.971ex; height:2.843ex;" alt="{\displaystyle (K_{\mathrm {2D} },\,\nu _{\mathrm {2D} })}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2K_{\mathrm {2D} }(1-\nu _{\mathrm {2D} })\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mn>2</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle 2K_{\mathrm {2D} }(1-\nu _{\mathrm {2D} })\,}</annotation>
</semantics>
</math></span><img src="./3ceee5a40e74656050ebc02c44486365b4eff639.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.103ex; height:2.843ex;" alt="{\displaystyle 2K_{\mathrm {2D} }(1-\nu _{\mathrm {2D} })\,}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2K_{\mathrm {2D} }\nu _{\mathrm {2D} }}{1+\nu _{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
<mrow>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {2K_{\mathrm {2D} }\nu _{\mathrm {2D} }}{1+\nu _{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./cf645b1d01ce663dbe446ca262fe7d8982a5987f.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:7.567ex; height:4.343ex;" alt="{\displaystyle {\tfrac {2K_{\mathrm {2D} }\nu _{\mathrm {2D} }}{1+\nu _{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {K_{\mathrm {2D} }(1-\nu _{\mathrm {2D} })}{1+\nu _{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {K_{\mathrm {2D} }(1-\nu _{\mathrm {2D} })}{1+\nu _{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./7feea6eb18fa6e18abbb7f5156a077c877e44a0c.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:10.125ex; height:4.509ex;" alt="{\displaystyle {\tfrac {K_{\mathrm {2D} }(1-\nu _{\mathrm {2D} })}{1+\nu _{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2K_{\mathrm {2D} }}{1+\nu _{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<msub>
<mi>K</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
<mrow>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {2K_{\mathrm {2D} }}{1+\nu _{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./478b33d574f890091f0231524ec05f9f8b8ee8f1.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:5.6ex; height:4.343ex;" alt="{\displaystyle {\tfrac {2K_{\mathrm {2D} }}{1+\nu _{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (E_{\mathrm {2D} },\,G_{\mathrm {2D} })}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (E_{\mathrm {2D} },\,G_{\mathrm {2D} })}</annotation>
</semantics>
</math></span><img src="./82f4b920c8f2b88eeddad760d3092c3fe6ade926.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.392ex; height:2.843ex;" alt="{\displaystyle (E_{\mathrm {2D} },\,G_{\mathrm {2D} })}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E_{\mathrm {2D} }G_{\mathrm {2D} }}{4G_{\mathrm {2D} }-E_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
<mrow>
<mn>4</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E_{\mathrm {2D} }G_{\mathrm {2D} }}{4G_{\mathrm {2D} }-E_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./3d08312a061b4190727b8cf4b3374b3a487ee0cd.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:9.143ex; height:4.509ex;" alt="{\displaystyle {\tfrac {E_{\mathrm {2D} }G_{\mathrm {2D} }}{4G_{\mathrm {2D} }-E_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2G_{\mathrm {2D} }(E_{\mathrm {2D} }-2G_{\mathrm {2D} })}{4G_{\mathrm {2D} }-E_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<mn>2</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>4</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {2G_{\mathrm {2D} }(E_{\mathrm {2D} }-2G_{\mathrm {2D} })}{4G_{\mathrm {2D} }-E_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./0ba3f089d5a578367ccfdde36e561d651b70db82.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:14.387ex; height:4.676ex;" alt="{\displaystyle {\tfrac {2G_{\mathrm {2D} }(E_{\mathrm {2D} }-2G_{\mathrm {2D} })}{4G_{\mathrm {2D} }-E_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E_{\mathrm {2D} }}{2G_{\mathrm {2D} }}}-1}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mrow>
<mn>2</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
<mo>−<!-- − --></mo>
<mn>1</mn>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E_{\mathrm {2D} }}{2G_{\mathrm {2D} }}}-1}</annotation>
</semantics>
</math></span><img src="./1bc0b53a7580b8e0c920704ed43ffc27b9120799.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:8.804ex; height:4.343ex;" alt="{\displaystyle {\tfrac {E_{\mathrm {2D} }}{2G_{\mathrm {2D} }}}-1}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {4G_{\mathrm {2D} }^{2}}{4G_{\mathrm {2D} }-E_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>4</mn>
<msubsup>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
</mrow>
</msubsup>
</mrow>
<mrow>
<mn>4</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {4G_{\mathrm {2D} }^{2}}{4G_{\mathrm {2D} }-E_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./2235f7699f8a7c484ebe6ce70240ed6f08da4c9f.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:9.143ex; height:5.009ex;" alt="{\displaystyle {\tfrac {4G_{\mathrm {2D} }^{2}}{4G_{\mathrm {2D} }-E_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (E_{\mathrm {2D} },\,\nu _{\mathrm {2D} })}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (E_{\mathrm {2D} },\,\nu _{\mathrm {2D} })}</annotation>
</semantics>
</math></span><img src="./b77009ceec3987a55112023183a7ee301731b675.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.714ex; height:2.843ex;" alt="{\displaystyle (E_{\mathrm {2D} },\,\nu _{\mathrm {2D} })}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E_{\mathrm {2D} }}{2(1-\nu _{\mathrm {2D} })}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mrow>
<mn>2</mn>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E_{\mathrm {2D} }}{2(1-\nu _{\mathrm {2D} })}}}</annotation>
</semantics>
</math></span><img src="./c7a7b40ff685661adb0b9dfee6bd644d70b2e914.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.701ex; height:4.509ex;" alt="{\displaystyle {\tfrac {E_{\mathrm {2D} }}{2(1-\nu _{\mathrm {2D} })}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E_{\mathrm {2D} }\nu _{\mathrm {2D} }}{(1+\nu _{\mathrm {2D} })(1-\nu _{\mathrm {2D} })}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
<mrow>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E_{\mathrm {2D} }\nu _{\mathrm {2D} }}{(1+\nu _{\mathrm {2D} })(1-\nu _{\mathrm {2D} })}}}</annotation>
</semantics>
</math></span><img src="./099970a35cbfe96ff5d719bf331a6d26b1a70d47.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:12.922ex; height:4.509ex;" alt="{\displaystyle {\tfrac {E_{\mathrm {2D} }\nu _{\mathrm {2D} }}{(1+\nu _{\mathrm {2D} })(1-\nu _{\mathrm {2D} })}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E_{\mathrm {2D} }}{2(1+\nu _{\mathrm {2D} })}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mrow>
<mn>2</mn>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E_{\mathrm {2D} }}{2(1+\nu _{\mathrm {2D} })}}}</annotation>
</semantics>
</math></span><img src="./d2caca86f5b8824866bbbb6db17c6ce009ea598e.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.701ex; height:4.509ex;" alt="{\displaystyle {\tfrac {E_{\mathrm {2D} }}{2(1+\nu _{\mathrm {2D} })}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {E_{\mathrm {2D} }}{(1+\nu _{\mathrm {2D} })(1-\nu _{\mathrm {2D} })}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<msub>
<mi>E</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mrow>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {E_{\mathrm {2D} }}{(1+\nu _{\mathrm {2D} })(1-\nu _{\mathrm {2D} })}}}</annotation>
</semantics>
</math></span><img src="./b2e9fe243a025d14cc19c4feb002fa281be09200.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:12.922ex; height:4.509ex;" alt="{\displaystyle {\tfrac {E_{\mathrm {2D} }}{(1+\nu _{\mathrm {2D} })(1-\nu _{\mathrm {2D} })}}}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (\lambda _{\mathrm {2D} },\,G_{\mathrm {2D} })}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (\lambda _{\mathrm {2D} },\,G_{\mathrm {2D} })}</annotation>
</semantics>
</math></span><img src="./e19fd95c2596c2d28dba16de09f7c918a4fc9262.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.032ex; height:2.843ex;" alt="{\displaystyle (\lambda _{\mathrm {2D} },\,G_{\mathrm {2D} })}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda _{\mathrm {2D} }+G_{\mathrm {2D} }}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \lambda _{\mathrm {2D} }+G_{\mathrm {2D} }}</annotation>
</semantics>
</math></span><img src="./2793b8b4c3ec84a326439a25264e5b988b625799.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.642ex; height:2.509ex;" alt="{\displaystyle \lambda _{\mathrm {2D} }+G_{\mathrm {2D} }}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {4G_{\mathrm {2D} }(\lambda _{\mathrm {2D} }+G_{\mathrm {2D} })}{\lambda _{\mathrm {2D} }+2G_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>4</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>+</mo>
<mn>2</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {4G_{\mathrm {2D} }(\lambda _{\mathrm {2D} }+G_{\mathrm {2D} })}{\lambda _{\mathrm {2D} }+2G_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./fadfb075fa8e027e9917dcd1ba9bc67175d7c735.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:13.31ex; height:4.676ex;" alt="{\displaystyle {\tfrac {4G_{\mathrm {2D} }(\lambda _{\mathrm {2D} }+G_{\mathrm {2D} })}{\lambda _{\mathrm {2D} }+2G_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }}{\lambda _{\mathrm {2D} }+2G_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mrow>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>+</mo>
<mn>2</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }}{\lambda _{\mathrm {2D} }+2G_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./eab1dc2f5aab249f9dc05a1ee174b19186396346.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:8.888ex; height:4.509ex;" alt="{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }}{\lambda _{\mathrm {2D} }+2G_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda _{\mathrm {2D} }+2G_{\mathrm {2D} }\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>+</mo>
<mn>2</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \lambda _{\mathrm {2D} }+2G_{\mathrm {2D} }\,}</annotation>
</semantics>
</math></span><img src="./c5308206440fd0cc39d9baa35004ee0675fec397.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.191ex; height:2.509ex;" alt="{\displaystyle \lambda _{\mathrm {2D} }+2G_{\mathrm {2D} }\,}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (\lambda _{\mathrm {2D} },\,\nu _{\mathrm {2D} })}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (\lambda _{\mathrm {2D} },\,\nu _{\mathrm {2D} })}</annotation>
</semantics>
</math></span><img src="./5761b070cd3f5e66294b5ff948d0d5f2ce9fd73b.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.354ex; height:2.843ex;" alt="{\displaystyle (\lambda _{\mathrm {2D} },\,\nu _{\mathrm {2D} })}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }(1+\nu _{\mathrm {2D} })}{2\nu _{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>2</mn>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }(1+\nu _{\mathrm {2D} })}{2\nu _{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./372ee40f2f39a0530c89865308f0cfe92d46a88a.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:9.688ex; height:4.509ex;" alt="{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }(1+\nu _{\mathrm {2D} })}{2\nu _{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }(1+\nu _{\mathrm {2D} })(1-\nu _{\mathrm {2D} })}{\nu _{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }(1+\nu _{\mathrm {2D} })(1-\nu _{\mathrm {2D} })}{\nu _{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./0fe813ef63bd6a0a2158043a1f270e7f2736bf49.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:15.731ex; height:4.343ex;" alt="{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }(1+\nu _{\mathrm {2D} })(1-\nu _{\mathrm {2D} })}{\nu _{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }(1-\nu _{\mathrm {2D} })}{2\nu _{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>2</mn>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }(1-\nu _{\mathrm {2D} })}{2\nu _{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./e496450f903c59f63dc9ff43185abfc8771b7cf9.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:9.688ex; height:4.509ex;" alt="{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }(1-\nu _{\mathrm {2D} })}{2\nu _{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }}{\nu _{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }}{\nu _{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./775d9920e7cedfb6290becbb23ccae4407dc2131.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:3.645ex; height:4.176ex;" alt="{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }}{\nu _{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">Cannot be used when <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nu _{\mathrm {2D} }=0\Leftrightarrow \lambda _{\mathrm {2D} }=0}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>=</mo>
<mn>0</mn>
<mo stretchy="false">⇔<!-- ⇔ --></mo>
<msub>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>=</mo>
<mn>0</mn>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \nu _{\mathrm {2D} }=0\Leftrightarrow \lambda _{\mathrm {2D} }=0}</annotation>
</semantics>
</math></span><img src="./abda36be11717593314a048856e008148eab22aa.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:19.259ex; height:2.509ex;" alt="{\displaystyle \nu _{\mathrm {2D} }=0\Leftrightarrow \lambda _{\mathrm {2D} }=0}" loading="lazy"></span>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (G_{\mathrm {2D} },\,\nu _{\mathrm {2D} })}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (G_{\mathrm {2D} },\,\nu _{\mathrm {2D} })}</annotation>
</semantics>
</math></span><img src="./7a15ad10fa657886cd82c74e9cc0cd8faabb72b0.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.825ex; height:2.843ex;" alt="{\displaystyle (G_{\mathrm {2D} },\,\nu _{\mathrm {2D} })}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {G_{\mathrm {2D} }(1+\nu _{\mathrm {2D} })}{1-\nu _{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>1</mn>
<mo>−<!-- − --></mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {G_{\mathrm {2D} }(1+\nu _{\mathrm {2D} })}{1-\nu _{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./82c30e9987de68d9409550f95a806033d6bf05b8.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:10.022ex; height:4.509ex;" alt="{\displaystyle {\tfrac {G_{\mathrm {2D} }(1+\nu _{\mathrm {2D} })}{1-\nu _{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2G_{\mathrm {2D} }(1+\nu _{\mathrm {2D} })\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mn>2</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle 2G_{\mathrm {2D} }(1+\nu _{\mathrm {2D} })\,}</annotation>
</semantics>
</math></span><img src="./20b78ca05d547b5b77f79626a3b1735716468790.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.957ex; height:2.843ex;" alt="{\displaystyle 2G_{\mathrm {2D} }(1+\nu _{\mathrm {2D} })\,}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2G_{\mathrm {2D} }\nu _{\mathrm {2D} }}{1-\nu _{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
<mrow>
<mn>1</mn>
<mo>−<!-- − --></mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {2G_{\mathrm {2D} }\nu _{\mathrm {2D} }}{1-\nu _{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./f7b74885d6aa702ca6d72909e74a0172966fb8d7.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:7.464ex; height:4.343ex;" alt="{\displaystyle {\tfrac {2G_{\mathrm {2D} }\nu _{\mathrm {2D} }}{1-\nu _{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2G_{\mathrm {2D} }}{1-\nu _{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>2</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
<mrow>
<mn>1</mn>
<mo>−<!-- − --></mo>
<msub>
<mi>ν<!-- ν --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {2G_{\mathrm {2D} }}{1-\nu _{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./4b6109dc44b8f000901eb7cd762c273aca1e2571.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:5.6ex; height:4.343ex;" alt="{\displaystyle {\tfrac {2G_{\mathrm {2D} }}{1-\nu _{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td>
</td></tr>
<tr>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (G_{\mathrm {2D} },\,M_{\mathrm {2D} })}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>,</mo>
<mspace width="thinmathspace"></mspace>
<msub>
<mi>M</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (G_{\mathrm {2D} },\,M_{\mathrm {2D} })}</annotation>
</semantics>
</math></span><img src="./6b59af291aea1f6bf2193881aa8272fabfd9d7d4.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.931ex; height:2.843ex;" alt="{\displaystyle (G_{\mathrm {2D} },\,M_{\mathrm {2D} })}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{\mathrm {2D} }-G_{\mathrm {2D} }}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>M</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle M_{\mathrm {2D} }-G_{\mathrm {2D} }}</annotation>
</semantics>
</math></span><img src="./2b720400365f3d72ef91064bcf17b97f5e6564cc.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.541ex; height:2.509ex;" alt="{\displaystyle M_{\mathrm {2D} }-G_{\mathrm {2D} }}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {4G_{\mathrm {2D} }(M_{\mathrm {2D} }-G_{\mathrm {2D} })}{M_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<mn>4</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<msub>
<mi>M</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo stretchy="false">)</mo>
</mrow>
<msub>
<mi>M</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {4G_{\mathrm {2D} }(M_{\mathrm {2D} }-G_{\mathrm {2D} })}{M_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./2e5e0a815db624389832f101dfb77a9a3d2c92b0.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:13.946ex; height:4.676ex;" alt="{\displaystyle {\tfrac {4G_{\mathrm {2D} }(M_{\mathrm {2D} }-G_{\mathrm {2D} })}{M_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{\mathrm {2D} }-2G_{\mathrm {2D} }\,}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>M</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<mn>2</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mspace width="thinmathspace"></mspace>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle M_{\mathrm {2D} }-2G_{\mathrm {2D} }\,}</annotation>
</semantics>
</math></span><img src="./6a8e1e8ddab785855909fc6450ee784327f49fff.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.09ex; height:2.509ex;" alt="{\displaystyle M_{\mathrm {2D} }-2G_{\mathrm {2D} }\,}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td style="text-align:center;"><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {M_{\mathrm {2D} }-2G_{\mathrm {2D} }}{M_{\mathrm {2D} }}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="false" scriptlevel="0">
<mfrac>
<mrow>
<msub>
<mi>M</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
<mo>−<!-- − --></mo>
<mn>2</mn>
<msub>
<mi>G</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mrow>
<msub>
<mi>M</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
<mi mathvariant="normal">D</mi>
</mrow>
</mrow>
</msub>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\tfrac {M_{\mathrm {2D} }-2G_{\mathrm {2D} }}{M_{\mathrm {2D} }}}}</annotation>
</semantics>
</math></span><img src="./e1048dd64851e8dd14301a6894c023470ff055dd.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:9.524ex; height:4.509ex;" alt="{\displaystyle {\tfrac {M_{\mathrm {2D} }-2G_{\mathrm {2D} }}{M_{\mathrm {2D} }}}}" loading="lazy"></span>
</td>
<td style="text-align:center;">
</td>
<td>
<p><br>
</p><p><br>
</p>
</td></tr></tbody></table>
<p><br>
</p>
<style data-mw-deduplicate="TemplateStyles:r1271159938">
/* start https://en.wikipedia.org/ */
.mw-parser-output .asbox{position:relative;overflow:hidden}.mw-parser-output .asbox table{background:transparent}.mw-parser-output .asbox p{margin:0}.mw-parser-output .asbox p+p{margin-top:0.25em}.mw-parser-output .asbox-body{font-style:italic}.mw-parser-output .asbox-note{font-size:smaller}.mw-parser-output .asbox .navbar{position:absolute;top:-0.75em;right:1em;display:none}.mw-parser-output :not(p):not(.asbox)+style+.asbox,.mw-parser-output :not(p):not(.asbox)+link+.asbox{margin-top:3em}
/* end https://en.wikipedia.org/ */
</style></div><!--htdig_noindex--><div><div class="zim-footer">
This article is issued from <a class="external text" title="Last edited on 2023-07-30" href="https://en.wikipedia.org/wiki/?title=P-wave_modulus&oldid=1167918927">Wikipedia</a>. The text is available under <a class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en">Creative Commons Attribution-Share Alike 4.0</a> unless otherwise noted. Additional terms may apply for the media files.
</div>
</div><!--/htdig_noindex--></div>
</div>
</main>
</div>
</div>
</div>
</body></html>