This paper is motivated by problem of optimal shape design of laminated elastic bodies. We use a recently introduced model of delamination, based on minimization of potential energy which includes the free (Gibbs-type) energy and (pseudo)potential of dissipative forces, to introduce and analyze a special mathematical program with equilibrium constraints. The equilibrium is governed by a finite sequence of coupled mathematical programs that have to be solved one after another in the direction of increasing time. We derive optimality conditions for the control problem and illustrate them on an academic example.
Research Report 299, Institute of Applied Mathematics, University of Erlangen, 2003. Submitted to Proc. of the 21st IFIP TC7 Conf. on System Modelling and Optimization, Sophia Antipolis, July 21-25, 2003