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    STUDIA MATHEMATICA - Issue no. 2 / 2009  
         
  Article:   VARIATIONAL ANALYSIS OF A ELASTIC-VISCOPLASTIC CONTACT PROBLEM WITH FRICTION AND ADHESION.

Authors:  SALAH DRABLA, ZHOR LERGUET. 		 
       
         
  Abstract:   The aim of this paper is to study the process of frictional contact with adhesion between a body and an obstacle. The material’s behavior is assumed to be elastic-viscoplastic, the process is quasistatic, the contact is modeled by the Signorini condition and the friction is described by a non local Coulomb law coupled with adhesion. The adhesion process is modelled by a bonding field on the contact surface. We derive a variational formulation of the problem, then, under a smallness assumption on the coefficient of friction, we prove an existence and uniqueness result of a weak solution for the model. The proof is based on arguments of time-dependent variational inequalities, differential equations and Banach fixed point theorem.

Key words and phrases: Elastic-viscoplastic material, non local Coulomb friction law, adhesion, variational inequality, weak solution, fixed point.

  
         
     
         
         
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