Variational methods in three-dimensional problems of non-stationary interaction of elastic bodies with friction (Q1115246)

The interaction between a moving elastic body and a plane elastic foundation is examined taking into account Coulomb friction. The paper concentrates on the tangential problem (assuming that the separation from the normal problem is admissible). The corresponding boundary value problem for the slip velocities is formulated by an evolutionary parabolic variational inequality which is reduced to a sequence of elliptic inequalities for the increments. A sequence of equivalent minimization problems is given also. Author proves the existence and uniquess of the solution and proposes methods for the numerical realization (without presenting an example).