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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">Plastic Strain Magnitude (PEMAG)</span></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"> For most materials and only proportional loading, PEMAG is equal to Equivalent Plastic
            Strain (PEEQ). It is available only with <span class = "ph">Abaqus</span> sensitivities. </span>

</p>
<p>This page discusses: </p><ul><li><a href = "#tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType" id = "toc_rg" title = "">Analysis Types: Static Nonlinear Analysis </a></li><li><a href = "#tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-rmk" id = "toc_rg" title = "">Remarks</a></li><li><a href = "#tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-def" id = "toc_rg" title = "">Definition</a></li></ul>
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<div class = "body conbody">
<table class = "table"><caption/><colgroup><col/><col/></colgroup><thead class = "thead">
<tr class = "row">
<th class = "entry" id = "tso-c-usr-terms-dresps-stressstrain-Pemag__entry__1"><p>Parameter Name</p></th>
<th class = "entry" id = "tso-c-usr-terms-dresps-stressstrain-Pemag__entry__2"><p>Formula</p></th>
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</thead><tbody class = "tbody">
<tr class = "row">
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-Pemag__entry__1"><p>PEMAG</p></td>
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-Pemag__entry__2"><span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><msqrt class = "- topic/foreign "><mrow class = "- topic/foreign "><mfrac class = "- topic/foreign "><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">2</mn></mrow><mrow class = "- topic/foreign "><mn class = "- topic/foreign ">3</mn></mrow></mfrac><mrow class = "- topic/foreign "><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">ε</mi></mrow><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">pl</mi></mrow></msup><mo class = "- topic/foreign ">:</mo><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">ε</mi></mrow><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">pl</mi></mrow></msup></mrow></mrow></msqrt></mrow></math></span></td>
</tr>
</tbody></table>

<div class = "section" id = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType"><h2 class = "title sectiontitle">Analysis Types: Static Nonlinear Analysis </h2>

<p>For the plastic strain magnitude, the following table shows the allowed combinations between
                strategy and the items <code class = "ph codeph">OBJ_FUNC</code> and <code class = "ph codeph">CONSTRAINT</code>
                with C for controller-based optimization and S for sensitivity-based
                optimization.</p>
<table class = "table"><caption/><colgroup><col/><col/><col/><col/><col/></colgroup><thead class = "thead">
<tr class = "row">
<th class = "entry" id = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__1"/>
<th class = "entry" id = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__2"><p>TOPO</p></th>
<th class = "entry" id = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__3"><p>SHAPE</p></th>
<th class = "entry" id = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__4"><p>BEAD</p></th>
<th class = "entry" id = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__5"><p>SIZING</p></th>
</tr>
</thead><tbody class = "tbody">
<tr class = "row">
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__1"><p>OBJ_FUNC</p></td>
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__2"><p>S</p></td>
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__3"><p>S</p></td>
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__4"><p>S</p></td>
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__5"><p>S</p></td>
</tr>
<tr class = "row">
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__1"><p>CONSTRAINT</p></td>
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__2"><p>S</p></td>
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__3"><p>S</p></td>
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__4"><p>S</p></td>
<td class = "entry" headers = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-anaType__entry__5"><p>S</p></td>
</tr>
</tbody></table>

</div>

<div class = "section" id = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-rmk"><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">Remarks</h2>

<ol class = "ol">
<li class = "li">Only elements of the element group (<code class = "ph codeph">EL_GROUP</code>) will be applied in the calculation
of the plastic strain magnitude.</li>
<li class = "li">PEMAG as a design response needs a plastic material property to work. If no such property is
                    defined, <span class = "ph">Tosca Structure</span> will exit with an error.</li>
</ol>
</div>

 
<div class = "section" id = "tso-c-usr-terms-dresps-stressstrain-Pemag__tso-c-usr-terms-pemag-def"><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">Definition</h2>

<p>The design response (<code class = "ph codeph">DRESP</code>) for PEMAG is defined like:</p>
<pre class = "codeblock">
<code class = "ph codeph">
DRESP
 ID_NAME  = DRESP_PEMAG
 DEF_TYPE = SYSTEM
 TYPE     = PEMAG
 EL_GROUP = <var class = "keyword varname varname">element_group</var>
END_
</code>
</pre>
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