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On the solution of a minimum weight elastoplastic problem involving displacement and complementarity constraints. (English) Zbl 0948.74043
Summary: This paper deals with a special class of minimum weight design problem involving discretized structures, holonomic (reversible) plasticity, and constraints on displacements. A key feature of the optimization problem is the presence of complementarity conditions, involving the orthogonality of two sign-constrained vectors. This problem falls within the important class of so-called mathematical programs with equilibrium constraints. Two algorithms are proposed to solve this synthesis problem and application is illustrated by some examples concerning truss-like structures.
Reviewer: Reviewer (Berlin)

MSC:
74P05 Compliance or weight optimization in solid mechanics
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
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