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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>Controller-Based Shape Optimization</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">
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The theoretical background of the controller-based shape optimization approach is briefly discussed.
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<ul><li><a href = "#tso-c-usr-shape-optTaskCtrl__tso-c-usr-shape-genInf-theorBackg" id = "toc_rg" title = "">Theoretical Background</a></li></ul>
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<div class = "section" id = "tso-c-usr-shape-optTaskCtrl__tso-c-usr-shape-genInf-theorBackg"><h2 class = "title sectiontitle">Theoretical Background</h2>

<p>The process of minimization of the deviation from a reference stress
is based on the following hypothesis by Neuber: Optimum form of a component
is achieved when the stresses running along the considered surface zone
is fully constant (stress homogenization). The targeted constant stress
should then be declared as the reference stress. The stress homogenization
can also be interpreted according to the principle of the fully stressed
component (Fully Stressed Design), that is, the component is stressed in
as many zones as possible by the predefined value allowed.</p>
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