No abstract

No abstract

A class of optimal design problems is considered, where the state problem is governed by a variational inequality. The latter includes an elliptic operator, the coefficients of which are chosen as the design (control) variables.Existence of an optimal design is proven on the abstract level. Some applications are presented to the problems of elastic or elasto-plastic beams with unilateral supports. Finite element approximations are proposed and a theoretical convergence result is proven in case of elastic beams. 112 I. Hlavh~ek, I. Bock, and J. Lovigek

The existence of solutions is proved for unilateral dynamic contact problems of elastic von Kármán plates. Boundary conditions for a free and clamped plate are considered.