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    STUDIA MATHEMATICA - Issue no. 3 / 2012  
         
  Article:   VARIATIONAL ANALYSIS OF A CONTACT PROBLEM WITH FRICTION BETWEEN TWO DEFORMABLE BODIES.

Authors:  BENABDERRAHMANE BENYATTOU.
 
       
         
  Abstract:  

This paper deals with the study of a nonlinear problem of friction contact between two deformable bodies. The elastic constitutive law is a assumed to be nonlinear and the contact is modeled with Signorini’s conditions and version of Coulomb’s law of dry friction. We present two variational formulations, noted P1, P2, of the considered problem, where P1 depends on the displacement field and P2 depends on the stress field. We establish existence and uniqueness results, using arguments of elliptic variational inequalities and a fixed point property and Lions, Stampachia theorem.

Mathematics Subject Classification (2010): 54AXX.

Keywords: Signorini’s conditions, elastic material, nonlinear constitutive law, Coulomb’s law of friction, contact problems, fixed point.

 
         
     
         
         
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