Geodesic
Shape optimization of elastoplastic bodies obeying Hencky's law
Applications of Mathematics, Tome 31 (1986) no. 6, pp. 486-499.

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A minimization of a cost functional with respect to a part of the boundary, where the body is fixed, is considered. The criterion is defined by an integral of a yield function. The principle of Haar-Kármán and piecewise constant stress approximations are used to solve the state problem. A convergence result and the existence of an optimal boundary is proved.
DOI : 10.21136/AM.1986.104226
Classification : 49A27, 49J40, 65K10, 65N30, 73E99, 73k40, 74P99, 74S05, 74S30
Keywords: optimal design; shape optimization; two dimensional elasto-plastic bodies; Hencky’s law; minimum of cost functional; convergence; existence of an optimal boundary; variational inequality 
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     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Shape optimization of elastoplastic bodies obeying {Hencky's} law},
     journal = {Applications of Mathematics},
     pages = {486--499},
     publisher = {mathdoc},
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     zbl = {0616.73081},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104226/}
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Hlaváček, Ivan. Shape optimization of elastoplastic bodies obeying Hencky's law. Applications of Mathematics, Tome 31 (1986) no. 6, pp. 486-499. doi : 10.21136/AM.1986.104226. http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104226/

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