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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> Minimizing the Material Volume with Stress Constraint</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">Within this section, an example is presented where the material volume is minimized under a stress constraint.</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 = "This section describes the theory of von Mises stress in topology" href = "tso-m-usr-terms-dresps-stressstrain-stressTopo-sb.htm#tso-m-usr-terms-dresps-stressstrain-stressTopo-sb">Stress in Topology Optimization</a></td></tr></table></td></tr></table>




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<p>The described example uses the following model:</p>
<p>(Design elements are shown in blue, the elements in red are defined as nondesign elements due to
            loads and boundary conditions.)</p>
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<p>The optimization setup is to minimize material volume having a constraint on the ‘Maximum von
            Mises stress.’</p>
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<p> The following diagram shows the difference between the maximal elemental
centroidal von Mises stress from the solver and from <span class = "ph">SIMULIA Tosca Structure</span>:</p>
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