Shape Optimization in Contact Problems with Coulomb friction and a Solution-Dependent Friction Coefficient
2014
Abstract
The paper deals with shape optimization in discretized 2D contact problems with Coulomb friction, where the coefficient of friction depends on the solution. The discrete model leads to a system of finite dimensional implicit variational inequalities parameterized by the design variables characterizing the shape of the body.
The main results concern sensitivity analysis which is based on the generalized differential calculus of B. Mordukchovich.
The derived subgradient information is used in the bundle trust method to compute several model examples.