Optimal Control of Perfect Plasticity Part II: Displacement Tracking

The paper is concerned with an optimal control problem governed by the rate-independent system of quasi-static perfect elasto-plasticity. objective optimize displacement field in domain occupied body means prescribed Dirichlet boundary data, which serve as variables. arising optimization nonsmooth for several reasons, particular, since control-to-state mapping not single-valued. We therefore apply a Yosida-regularization (resp., vanishing viscosity approach) to obtain single-valued operator. Beside existence solutions, their approximation this regularization approach main subject work. It turns out that so-called reverse guaranteeing suitable recovery sequence can only be shown under additional smoothness assumption on at least one solution.