AN INVERSE PROBLEM FOR AN ELASTOPLASTIC MEDIUM

In this paper. within the range of the so-called deformation theory of plasticity, the determination of unknown coefficients in a nonlinear system of equilibrium equations from overspecified data measured at the boundary is considered. This inverse problem is reformulated as a minimization problem for a certain functional. It is shown that this functional has at least one solution (quasisolution) in an admissible class of coefficients. Then the existence of an exact solution of inverse problem is proved, A numerical algorithm and examples related to direct and inverse problems are presented.