Geodesic
Shape optimization of elasto-plastic axisymmetric bodies
Applications of Mathematics, Tome 36 (1991) no. 6, pp. 469-491.

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A minimization of a cost functional with respect to a part of a boundary is considered for an elasto-plastic axisymmetric body obeying Hencky's law. The principle of Haar-Kármán and piecewise linear 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.1991.104483
Classification : 65K10, 65N30, 73E99, 73V25, 73k40, 74B99, 74C99, 74P10, 74S30
Keywords: domain optimization; control of variational inequalities; Hencky's law of elasto-plasticity 
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     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Shape optimization of elasto-plastic axisymmetric bodies},
     journal = {Applications of Mathematics},
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Hlaváček, Ivan. Shape optimization of elasto-plastic axisymmetric bodies. Applications of Mathematics, Tome 36 (1991) no. 6, pp. 469-491. doi : 10.21136/AM.1991.104483. http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104483/

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