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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>About the Stress Constraint Example</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 = "shortdesc">This example shows the minimization of the volume with restrictions
on the maximum von Mises stress illustrated with the example of a
beam.<ul><li><a href = "#tso-c-example-topo-sensTopoStressCont__cs-summary" id = "toc_rg" title = "">Procedure Summary:</a></li></ul>
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    <div class = "section" id = "tso-c-example-topo-sensTopoStressCont__cs-model"><p>Maximizing the stiffness for a given target volume forms a standard optimization setup in
        topology optimization - applied, for example, when a certain weight shall not be exceeded.
        Initially a possible "target stiffness" often cannot be determined, but the material
        parameters and thus the maximum admissible stress for the structure is known. Thus, another
        optimization setup could be to minimize the volume for a specified stress constraint. </p>
      <figure class = "fig fignone" id = "tso-c-example-topo-sensTopoStressCont__fig_ilp_pwm_dlb"><span class = "figcap">About the Model</span>
        
        <br/><img class = "image" src = "../TsoExampleImages/sensTopoStressContModel.png"/><br/>
      </figure><p>An example result for a standard
optimization setup is seen in the following figure:
</p><p><br/><img class = "image" src = "../TsoExampleImages/sensTopoStressConModelStressConc.png"/><br/></p><p>The stiffness of the beam has been optimized for a specified target
volume. The result shows a stress concentration in the upper
horizontal bar. To reduce that stress it is helpful to specify a
stress constraint and to minimize the volume.
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    <div class = "section" id = "tso-c-example-topo-sensTopoStressCont__cs-summary"><h2 class = "title sectiontitle">Procedure Summary:</h2>
    
    <p>
    <table class = "table"><caption/><colgroup><col style = "width:13.071895424836603%"/><col style = "width:86.9281045751634%"/></colgroup><tbody class = "tbody"><tr class = "row"><td class = "entry">Model:</td><td class = "entry">beam_stress.ext
</td></tr><tr class = "row"><td class = "entry">Design Area:</td><td class = "entry">All elements
</td></tr><tr class = "row"><td class = "entry">Objective:</td><td class = "entry">Minimize volume
</td></tr><tr class = "row"><td class = "entry">Constraint:</td><td class = "entry">von Mises stress of 70kPa
</td></tr><tr class = "row"><td class = "entry">Iterations:</td><td class = "entry">80 iterations (set per default for this type of optimization setup)
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