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On optimal shape design of an elastic body on a rigid foundation. (English) Zbl 0588.73159

The mathematics of finite elements and applications V, MAFELAP 1984, Proc. 5th Conf., Uxbridge/Engl. 1984, 555-562 (1985).
[For the entire collection see Zbl 0566.00028.]
We firstly study the existence of the optimal shape for an elastic body unilaterally supported by a rigid foundation. Secondly, we apply finite elements to these problems and analyze the relation of the continuous and the discrete problem. Finally we present some numerical results.

MSC:

74P99 Optimization problems in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics

Citations:

Zbl 0566.00028