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<body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject page-Taylor-Faktor rootpage-Taylor-Faktor skin-vector-2022 action-view">
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<h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Taylor-Faktor</span></h1>
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<div id="mw-content-text" class="mw-body-content mw-content-ltr" lang="de" dir="ltr"><div class="mw-content-ltr mw-parser-output" lang="de" dir="ltr"><p>Der <b>Taylor-Faktor</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}">
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<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>M</mi>
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<annotation encoding="application/x-tex">{\displaystyle M}</annotation>
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</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/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> ist ein geometrischer Faktor, der in <a href="Polykristall" title="Polykristall">polykristallinen</a> Materialien an die Stelle des <a href="Schmidsches_Schubspannungsgesetz" title="Schmidsches Schubspannungsgesetz">Schmid-Faktors</a> tritt. In <a href="Kubisches_Kristallsystem" title="Kubisches Kristallsystem">kubisch flächenzentriertem</a> Material beträgt sein Wert 3,1. Er wird verwendet, um den Einfluss verschiedener <a href="Verfestigung_(Werkstoffkunde)" title="Verfestigung (Werkstoffkunde)">Verfestigungsmechanismen</a>, die die <a href="Kritische_Schubspannung" title="Kritische Schubspannung">kritische Schubspannung</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 \tau _{\text{krit}}}">
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<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>τ<!-- τ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mtext>krit</mtext>
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<annotation encoding="application/x-tex">{\displaystyle \tau _{\text{krit}}}</annotation>
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</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/37a0ac811966db301c4bac8f66db16695613bd0c.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.858ex; height:2.009ex;" alt="{\displaystyle \tau _{\text{krit}}}" loading="lazy"></span> beeinflussen, auf die <a href="Flie%C3%9Fspannung" title="Fließspannung">Fließspannung</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 \sigma _{f}}">
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<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>σ<!-- σ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>f</mi>
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<annotation encoding="application/x-tex">{\displaystyle \sigma _{f}}</annotation>
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</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/1faac91a4f954c5707a88c07bfed70b9b92b3785.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.464ex; height:2.343ex;" alt="{\displaystyle \sigma _{f}}" loading="lazy"></span> zu berechnen:
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<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 _{f}=M\cdot \tau _{\text{krit}}.}">
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<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msub>
<mi>σ<!-- σ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>f</mi>
</mrow>
</msub>
<mo>=</mo>
<mi>M</mi>
<mo>⋅<!-- ⋅ --></mo>
<msub>
<mi>τ<!-- τ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mtext>krit</mtext>
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<mo>.</mo>
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<annotation encoding="application/x-tex">{\displaystyle \sigma _{f}=M\cdot \tau _{\text{krit}}.}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/4c86a3d21b8952e2f775f06a89b4a2557287c69f.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:14.188ex; height:2.843ex;" alt="{\displaystyle \sigma _{f}=M\cdot \tau _{\text{krit}}.}" loading="lazy"></span></dd></dl>
<p>Auf diese Weise wird in einem <a href="Isotrop" class="mw-redirect" title="Isotrop">isotropen</a> polykristallinen Material über die im Allgemeinen regellose <a href="Kristallorientierung" title="Kristallorientierung">Kristallorientierung</a> gemittelt.
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<div class="mw-heading mw-heading2"><h2 id="Literatur">Literatur</h2></div>
<ul><li>Günter Gottstein: <i>Physikalische Grundlagen der Materialkunde</i>. Springer, Berlin/Heidelberg/New York ISBN 978-3-540-71104-9.</li>
<li>Joachim Rösler, Harald Harders, Martin Bäker: <i>Mechanisches Verhalten der Werkstoffe</i>. B.G. Teubner Verlag / GWV Fachverlage GmbH, 2006, ISBN 978-3-8351-0008-4.</li></ul>
<div class="mw-heading mw-heading2"><h2 id="Weblinks">Weblinks</h2></div>
<ul><li><a rel="nofollow" class="external text" href="http://www.physik.uni-augsburg.de/~ferdi/skript/teil2/node7.html">Verformung von Vielkristallen</a></li></ul></div><!--htdig_noindex--><div><div class="zim-footer">
Dieser Artikel wurde von <a class="external text" title="Zuletzt bearbeitet am 2019-04-23" href="https://de.wikipedia.org/wiki/?title=Taylor-Faktor&oldid=187829701">Wikipedia</a> herausgegeben. Der Text ist unter <a class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.de">Creative Commons Attribution-Share Alike 4.0</a> verfügbar, sofern nicht anders angegeben. Für die Mediendateien können zusätzliche Bedingungen gelten.
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