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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>Energy Thermal Measure</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 section describes how the energy thermal measure design response is defined.</span>

</p>
<p>This page discusses: </p><ul><li><a href = "#tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType" id = "toc_rg" title = "">Analysis Types: Thermal Analysis</a></li><li><a href = "#tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-rmk" id = "toc_rg" title = "">Remarks</a></li><li><a href = "#tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-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-thermal-measure__entry__1"><p>Parameter Name</p></th>
<th class = "entry" id = "tso-c-usr-terms-thermal-measure__entry__2"><p>Formula</p></th>
</tr>
</thead><tbody class = "tbody">
<tr class = "row">
<td class = "entry" headers = "tso-c-usr-terms-thermal-measure__entry__1"><p>ENERGY_THERMAL_MEASURE</p></td>
<td class = "entry" headers = "tso-c-usr-terms-thermal-measure__entry__2"><p><span class = "ph inlineequation"><math class = "- topic/foreign "><mfenced open = "" close = "" separators = " " class = "- topic/foreign "><mrow class = "- topic/foreign "><msup class = "- topic/foreign "><msub class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">f</mi></mrow><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">g</mi></mrow></msub><mrow class = "- topic/foreign "><mo class = "- topic/foreign ">T</mo></mrow></msup><msub class = "- topic/foreign "><mo class = "- topic/foreign ">T</mo><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">u</mi></mrow></msub><mo class = "- topic/foreign ">−</mo><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">q</mi></mrow><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">T</mi></mrow></msup><msub class = "- topic/foreign "><mo class = "- topic/foreign ">T</mo><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">g</mi></mrow></msub><msub class = "- topic/foreign "><mo class = "- topic/foreign ">f</mo><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">g</mi></mrow></msub></mrow></mfenced></math></span></p></td>
</tr>
</tbody></table>
<p>where <span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><msub class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">f</mi></mrow><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">g</mi></mrow></msub></mrow></math></span>
is the defined external load,
<span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><msub class = "- topic/foreign "><mo class = "- topic/foreign ">T</mo><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">u</mi></mrow></msub></mrow></math></span> 
the unknown field temperature field,
<span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">q</mi></mrow></mrow></math></span>
thermal reaction load at the boundary where the prescribed temperature is applied and 
<span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><msub class = "- topic/foreign "><mo class = "- topic/foreign ">T</mo><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">g</mi></mrow></msub></mrow></math></span>
the prescribed temperature at the boundary.
</p>
<div class = "section" id = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType"><h2 class = "title sectiontitle">Analysis Types: Thermal Analysis</h2>

<p> This is the total thermal energy stored in the system. It is a global measure that is used to define the conductivity of structures. 
    Minimizing this response will lead to the best conductivity in the structure.
	Because of the way it is implemented in <span class = "ph">SIMULIA Tosca Structure</span>, 
	there is no need to distinguish between external thermal loads or prescribed temperature conditions.</p>
<p>	This response is easy to define and almost always results in stable optimizations with good convergence.
	This is analogous to energy_stiffness_measure in a structural optimization.</p>
<p>	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-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__1"/>
<th class = "entry" id = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__2"><p>TOPO</p></th>
<th class = "entry" id = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__3"><p>SHAPE</p></th>
<th class = "entry" id = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__4"><p>BEAD</p></th>
<th class = "entry" id = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__5"><p>SIZING</p></th>
</tr>
</thead><tbody class = "tbody">
<tr class = "row">
<td class = "entry" headers = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__1"><p>OBJ_FUNC</p></td>
<td class = "entry" headers = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__2"><p>S</p></td>
<td class = "entry" headers = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__3"/>
<td class = "entry" headers = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__4"/>
<td class = "entry" headers = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__5"/>
</tr>
<tr class = "row">
<td class = "entry" headers = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__1"><p>CONSTRAINT</p></td>
<td class = "entry" headers = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__2"><p>S</p></td>
<td class = "entry" headers = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__3"/>
<td class = "entry" headers = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__4"/>
<td class = "entry" headers = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-anaType__entry__5"/>
</tr>
</tbody></table>

</div>

<div class = "section" id = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-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">The specified element group should always contain all elements.</li>
</ol>
</div>

 
<div class = "section" id = "tso-c-usr-terms-thermal-measure__tso-c-usr-terms-thermalmeasure-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 ENERGY_THERMAL_MEASURE is defined like:</p>
<pre class = "codeblock">
<code class = "ph codeph">
DRESP
 ID_NAME  = DRESP_ENERGY_THERMAL_MEASURE
 DEF_TYPE = SYSTEM
 TYPE     = ENERGY_THERMAL_MEASURE
 EL_GROUP = <var class = "keyword varname varname">ALL_ELEMENTS</var>
END_
</code>
</pre>
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