Static semicoercive normal compliance contact problem with limited interpenetration

摘要

For the static contact problem with limited interpenetration with obstacle, the existence of solutions is proved. The frictionless case is studied at first, and then the problem with Coulomb friction is investigated as well. The body has nowhere a Dirichlet boundary value condition prescribed. In both cases, if the prescribed depth of the interpenetration tends to 0, the solutions tend to a solution of the appropriate unilateral contact problem.