Abstract

Optimization problems for plane-stress structures made of work-hardening elasto-plastic materials are theoretically considered. The deformation theory of plasticity is used. Optimality conditions for mean structural compliance minimization problems are obtained and investigated, and it is shown that the conditions lead to fully-stressed design. On the basis of the theoretical results obtained several optimization algorithms for the structures are developed. Numerical test results for the alogrithms are presented and analysed. High convergence rates of the algorithms are demonstrated. Significant physical properties of the numerical results are discussed.

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