Normal compliance contact models with finite interpenetration

Abstract

We study contact problems with contact models of normal compliance type, where the compliance function tends to infinity for a given finite interpenetration. For the static problem without friction we prove the existence and uniqueness of solutions, for static problem with Coulomb friction the existence of a solution is shown.

Keywords

• Contact problem
• Coulomb friction
• variational inequality
• normal compliance model
• existence and regularity of solutions