On the statical unilateral contact problem with friction of rectangular plates resting on an elastic half-space

In this paper the statical equilibrium problem of a rectangular plate unilaterally constrained against an elastic half-space is analyzed. The frictional contact hypothesis at the interface between plate and foundation is made. The assumed friction law represents a suitable regularization of Coulomb's classical law, which is particularly helpful in view of the theoretical and numerical developments. The problem is formulated and discussed from a theoretical point of view. Some numerical results are also given showing the influence on the solution of the frictional contact hypothesis.