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<a name = "hj-top"> </a><table class = "table1" id = "table11"><tr><td><table class = "DocHeader"><tr><td class = "DocHeader1" colspan = "2"><h1><span class = "ph">Stress in Sensitivity-Based Shape Optimization</span></h1></td></tr><tr><td class = "DocHeader4" colspan = "2"/></tr><tr><td class = "DocHeader3"><table class = "DocHeaderIntro" id = "table12"><tr><td class = "Intro1Only"><p class = "header"><p class = "abstract">
<span class = "shortdesc">The stress in sensitivity-based shape optimization SIG_MISES is the elemental centroidal
            von Mises stress, and its sensitivities are approximated using the P-mean
            Norm.</span>

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</p></td></tr></table></td><td class = "DocHeader2"><table class = "DocTopicsSeeAlso" id = "table13"><tr><td class = "TopicsTitle">See Also</td></tr><tr><td><a title = "The objective function describes the optimization target. In general, one scalar value (sometimes combined from other scalars) is to be maximized or minimized." href = "tso-c-usr-shape-objFunc-sens.htm#tso-c-usr-shape-objFunc-sens">Objective Function for Sensitivity-Based Shape Optimization</a></td></tr><tr><td><a title = "Allowed constraints for sensitivity-based shape optimization." href = "tso-c-usr-shape-constr-sens.htm">Constraints for Sensitivity-Based Shape Optimization</a></td></tr></table></td></tr></table>




    
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<th class = "entry" id = "tso-c-usr-terms-dresps-stressstrain-shapeSensStress__xx942805__entry__1"><p>Parameter Name</p></th>
<th class = "entry" id = "tso-c-usr-terms-dresps-stressstrain-shapeSensStress__xx942805__entry__2"><p>Formula</p></th>
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<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-shapeSensStress__xx942805__entry__1"><p>SIG_MISES</p></td>
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-shapeSensStress__xx942805__entry__2"/>
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<p>The <span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><msub class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">σ</mi></mrow><mrow class = "- topic/foreign "><mtext class = "- topic/foreign ">vMises</mtext></mrow></msub></mrow></math></span>
is the elemental centroidal von Mises stress evaluated over the elements
in DRESP definition. While the design response is the true maximum, the sensitivities are approximated using the P-mean Norm. <code class = "ph codeph">GROUP_OPER = MAX</code> must be used, other <code class = "ph codeph">GROUP_OPER</code> settings are not allowed.</p>
<table class = "Remark" id = "table132"><tr><td class = "Remark"><span class = "run-in.tip">Tip:
				</span><span class = "notecontent">Take a look into the related Topics for a list of all possible design responses supported for objective functions and constraints.</span></td></tr></table>

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