Approximation Results for a Class of Quasistatic Contact Problems Including Adhesion and Friction
This paper is concerned with a continuum thermodynamic and mathematical formulation of an interface law including unilateral contact, adhesion and friction. The model is based on the notion of material boundary associated to the interface and its derivation follows from the principle of virtual power and the principles of thermodynamics (Cangémi et al., 1996 a). Adhesion and friction are strongly coupled and adhesion is characterized by a new variable, the intensity of adhesion β introduced by Prémond. We consider a quasistatic unilateral contact problem for which we present a variational formulation. A time discretization is adopted and we prove that if the friction coefficient is sufficiently small then the incremental formulation that can be derived from this discretization has a unique solution. Finally an application to an indentation problem is mentioned.
KeywordsContact Problem Quasi Variational Inequality Incremental Formulation Unilateral Contact Virtual Power
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