Shape optimization of elasto-plastic structures and continua. (English) Zbl 0972.74055
Summary: This article is concerned with the sensitivity analysis and optimization of elasto-plastic bodies when isotropic strain hardening takes place. The elasto-plastic behaviour of the material is governed by a nonlinear complementarity problem. After discretization, the evolutionary state problem, associated with the optimal shape problem, is formulated as a sequence of nonsmooth equations, and a general form of the optimal design problem is treated by using a nonsmooth approach. The sensitivity analysis based on the adjoint-variable technique is derived for a history-dependent problem. As applications, optimal design problems are solved for an elasto-plastic truss structure and for an elasto-plastic continuum.
MSC:
| 74P10 | Optimization of other properties in solid mechanics |
| 74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
| 74K99 | Thin bodies, structures |
| 74S05 | Finite element methods applied to problems in solid mechanics |
Keywords:
sensitivity analysis; isotropic strain hardening; nonlinear complementarity problem; optimal shape problem; nonsmooth approach; adjoint-variable technique; elasto-plastic truss structure; elasto-plastic continuumReferences:
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