Research
Communication | Open Access
Volume 2022 | Communication ID 795
Volume 2022 | Communication ID 795
Optimal control of a frictionl contact problem |
Aziza Bachmar
Received |
Accepted |
Published |
Apr 27, 09:34 |
July 01, 2022 |
July 15, 2022 |
Abstract: We consider a mathematical model which describes a contact between a nonlinear elastic body and a foundation[1]. The contact is frictionl and modelled with normal compliance associated to unilateral constraint. 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 derive a variational formulation of the mechanical problem and prove its unique weak solvability. Then, we introduce a penalized contact problem which we prove existence, uniqueness ...