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Optimal control of a variational inequality with applications to structural analysis. II: Local optimization of the stress in a beam. III: Optimal design of an elastic plate. (English) Zbl 0582.73081
This is a continuation of the authors’ paper, ibid. 11, 111-143 (1984; Zbl 0553.73082). Firstly, using the dual variational formulation of the state problem, the authors analyze the problem of optimal design with respect to the variable thickness of an elastic beam with unilateral supports under the criterion of minimal value of the maximal stress. The proof of the convergence of some approximations is given. Secondly, the analogous problem for an elastic or elasto-plastic plate unilaterally supported on a part of its edge is dealt with. Here only the primal variational formulation of the state problem is used, and some numerical analysis for elastic plates is carried out.
Reviewer: Zh.H.Guo

MSC:
74P99 Optimization problems in solid mechanics
49J40 Variational inequalities
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74K20 Plates
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