CONTACT PROBLEMS OF PLASTICITY THEORY WITH ACCOUNT FOR CONTACT SURFACE FRICTION.

We examine the deformation of an elastoplastic body under the action of given loads and a rigid stamp. The contact area of the body and the stamp is not specified in advance and may vary in the deformation process. The tangential interaction on the contact area is described by the Amontons-Coulomb friction law. Any differential-linear and differential-nonlinear variants of plasticity theory can be used in solving the problem. The problem is stated in the form of a quasivariational equation in the velocities. We propose a numerical solution method that is based on preliminary discretization in time, as a result of which a sequence of extremal variational problems arises.