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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>Group Operations for Stresses and Stiffness</h1></td></tr><tr><td class = "DocHeader4" colspan = "2"/></tr><tr><td class = "DocHeader3" colspan = "2"><table class = "DocThemeIntro" id = "table12"><tr><td class = "Intro1Only"><p class = "header"><p class = "abstract">
<span class = "shortdesc">This chapter explains group operations for stresses and stiffness.</span>

</p>
<p>This page discusses: </p><ul><li><a href = "#tso-c-usr-terms-combTermsGroupOperStressStiffness__tso-c-usr-terms-combTermsGroupOperStressStiffness-stress" id = "toc_rg" title = "">Group Operation for Stresses</a></li><li><a href = "#tso-c-usr-terms-combTermsGroupOperStressStiffness__tso-c-usr-terms-combTermsGroupOperStressStiffness-stiffness" id = "toc_rg" title = "">Group Operations for Stiffness</a></li></ul>
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<div class = "section" id = "tso-c-usr-terms-combTermsGroupOperStressStiffness__tso-c-usr-terms-combTermsGroupOperStressStiffness-stress"><h2 class = "title sectiontitle">Group Operation for Stresses</h2>

<p>For a standard shape optimization definition, the maximum stress over
all <span class = "ph">load cases</span>
is selected within the design nodes as follows:</p>
<pre class = "codeblock">
<code class = "ph codeph">DRESP
 ID_NAME        = DRESP_MAX_MISES
 DEF_TYPE       = SYSTEM
 TYPE           = SIG_MISES
 UPDATE         = EVER
 ND_GROUP       = <var class = "keyword varname varname">DESIGN_NODES
</var></code><code class = "ph codeph"> GROUP_OPER     = MAX
</code><code class = "ph codeph">END_
</code></pre>
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<div class = "section" id = "tso-c-usr-terms-combTermsGroupOperStressStiffness__tso-c-usr-terms-combTermsGroupOperStressStiffness-stiffness"><p><map name = "FPMap1"><area href = "#hj-top" title = "Back to Top" shape = "rect" coords = "416, 0, 435, 10"/></map><span class = "itemsprite"/></p><h2 class = "title sectiontitle">Group Operations for Stiffness</h2>

<p>For the standard topology optimization task the stiffness/compliance
is defined as the sum of the strain energy for all elements in the model.
If more than one <span class = "ph">load case</span>
is defined, the overall stiffness is then the sum of the stiffness
of the referenced <span class = "ph">load cases</span>.
This can be defined as:</p>
<pre class = "codeblock">
<code class = "ph codeph">DRESP
 ID_NAME        = DRESP_SUM_ENERGY
 DEF_TYPE       = SYSTEM
 TYPE           = STRAIN_ENERGY
 UPDATE         = EVER
 EL_GROUP       = ALL_ELEMENTS
 GROUP_OPER     = SUM
END_
</code></pre>
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