Article
MSC:
65K10,
65N30,
73E99,
73V25,
73k40,
74B99,
74C99,
74P10,
74S30 | MR 1134923 | Zbl 0756.73094 | DOI: 10.21136/AM.1991.104483
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Keywords:
domain optimization; control of variational inequalities; Hencky's law of elasto-plasticity
domain optimization; control of variational inequalities; Hencky's law of elasto-plasticity
Summary:
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.
References:
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[7] I. Hlaváček R. Mäkinen: On the numerical solution of axisymmetric domain optimization problems. Appl. Math. 36 (1991), 284-304. MR 1113952
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