Solution of a Contact Elasticity Problem with a Rigid Inclusion

An equilibrium problem for an elastic body containing a rigid inclusion is solved. There is a delamination crack on a portion of the interface between the inclusion and the elastic body. Mutual nonpenetration conditions are set on the crack faces. According to the solution method, the problem with a rigid inclusion can be treated as a limit one for a family of problems with a crack. A numerical method relying on a modified duality scheme and the Uzawa algorithm is proposed for solving the problem. FEM-based numerical results are presented.