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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>Volume</h1></td></tr><tr><td class = "DocHeader4" colspan = "2"/></tr><tr><td class = "DocHeader3" colspan = "2"><table class = "DocThemeIntro" id = "table12"><tr><td class = "Intro1"><p class = "header"><p class = "abstract"><span class = "shortdesc">For standard optimization problems the volume constraint is
necessary, for example, if the topology optimization is used in order to minimize
the compliance (thus to maximize the stiffness) and no volume constraint
is used, the optimizer simply fills up the whole design area with material.</span>
</p>

</p><hr class = "header"/></td></tr><tr><td class = "Intro2"><span class = "run-in">In this section:</span><br/><ul class = "ulthemes"><li><a title = "For standard optimization problems, the volume constraint is necessary, for example, if the topology optimization is used in order to minimize the compliance (thus to maximize the stiffness) and no volume constraint is used, the optimizer simply fills up the whole design area with material." href = "tso-c-usr-terms-volume.htm">Volume Overview</a></li><li><a title = "The task for this example is to define the volume design response for the element group DESIGN_ELEMS." href = "tso-t-usr-terms-volume-expl.htm">Example: Defining the Volume Design Response</a></li></ul></td></tr></table></td></tr></table>
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