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Title: Shape optimization of an elasto-plastic body for the model with strain- hardening (English)
Author: Pištora, Vladislav
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 35
Issue: 5
Year: 1990
Pages: 373-404
Summary lang: English
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Category: math
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Summary: The state problem of elasto-plasticity (for the model with strain-hardening) is formulated in terms of stresses and hardening parameters by means of a time-dependent variational inequality. The optimal design problem is to find the shape of a part of the boundary such that a given cost functional is minimized. For the approximate solutions piecewise linear approximations of the unknown boundary, piecewise constant triangular elements for the stress and the hardening parameter, and backward differences in time are used. Existence and uniqueness of a solution of the approximate state problem and existence of a solution of the approximate optimal design problem are proved. The main result is the proof of convergence of the approximations to a solution of the original optimal design problem. (English)
Keyword: domain optimization
Keyword: time-dependent variational inequality
Keyword: elasto-plasiicily
Keyword: finite elements
Keyword: uniqueness
Keyword: state problem
Keyword: optimal design
Keyword: piecewise linear approximations of the unknown boundary
Keyword: hardening parameter
Keyword: backward differences in time
Keyword: convergence
MSC: 49J40
MSC: 65K10
MSC: 65N30
MSC: 73E05
MSC: 73E99
MSC: 73V25
MSC: 73k40
MSC: 74P10
MSC: 74P99
MSC: 74S05
MSC: 74S30
idZBL: Zbl 0717.73054
idMR: MR1072608
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Date available: 2008-05-20T18:39:53Z
Last updated: 2015-05-31
Stable URL: http://hdl.handle.net/10338.dmlcz/104419
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