Optimal Control of Elastoplastic Processes: Anal- ysis, Algorithms, Numerical Analysis and Ap- plications

An optimal control problem is considered for the variational inequality representing the stress-based (dual) formulation of static elastoplasticity. The linear kinematic hardening model and the von Mises yield condition are used. The forward system is reformulated such that it involves the plastic multiplier and a complementarity condition. In order to derive necessary optimality conditions, a family of regularized optimal control problems is analyzed. C-stationarity type conditions are obtained by passing to the limit with the regularization. Numerical results are presented. Mathematics Subject Classification (2010). Primary 49K20, 70Q05, 74C05; Secondary 90C33, 35R45.