Optimal control of a frictionless unilateral contact problem
Keywords:
optimal control, nonlinear elastic, unilateral contactAbstract
We consider a mathematical model which describes a contact between a nonlinear elastic body and a foundation. The contact is frictionless with Signorini’s conditions with a gap.b The goal of this paper is to study an optimal control problem which consists of leading the stress tensor as close as possible to a given target, by acting with a control on the boundary of the body. We state an optimal control problem which has at least one solution. Also we prove a convergence result of a penalized control problem.
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