Article
MSC:
46E35,
46N10,
49N10,
49Q10,
65N30,
74C05,
74P10 | MR 1818080 | Zbl 1061.49027 | DOI: 10.1023/A:1013731705302
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Keywords:
mixed boundary value problem; deformation theory of plasticity; shape optimization; cost functional; finite elements
mixed boundary value problem; deformation theory of plasticity; shape optimization; cost functional; finite elements
Summary:
Existence of an optimal shape of a deformable body made from a physically nonlinear material obeying a specific nonlinear generalized Hooke’s law (in fact, the so called deformation theory of plasticity is invoked in this case) is proved. Approximation of the problem by finite elements is also discussed.
References:
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