Geodesic
Shape optimization of elasto-plastic bodies
Applications of Mathematics, Tome 46 (2001) no. 2, pp. 81-101.

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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.
DOI : 10.1023/A:1013731705302
Classification : 46E35, 46N10, 49N10, 49Q10, 65N30, 74C05, 74P10
Keywords: mixed boundary value problem; deformation theory of plasticity; shape optimization; cost functional; finite elements 
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     author = {Dimitrovov\'a, Zuzana},
     title = {Shape optimization of elasto-plastic bodies},
     journal = {Applications of Mathematics},
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Dimitrovová, Zuzana. Shape optimization of elasto-plastic bodies. Applications of Mathematics, Tome 46 (2001) no. 2, pp. 81-101. doi : 10.1023/A:1013731705302. http://geodesic.mathdoc.fr/articles/10.1023/A:1013731705302/

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