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    STUDIA MATHEMATICA - Issue no. 2 / 2009  
         
  Article:   A PIEZOELECTRIC FRICTIONLESS CONTACT PROBLEM WITH ADHESION.

Authors:  MOHAMED SELMANI.
 
       
         
  Abstract:  We consider a quasistatic frictionless contact problem for a piezoelectric body.  The contact is modelled with normal compliance. The adhesion of the contact  surfaces is taken into account and modelled by a surface variable, the bonding  field. We provide variational formulation for the mechanical problem and prove the existence of a unique weak solution to the problem. The proofs are based on arguments of time-dependent variational inequalities, differential equations and fixed point.

Key words and phrases: Quasistatic process, frictionless contact, normal compliance, adhesion, piezoelectric material, existence and uniqueness, monotone operator, fixed point, weak solution.
 
         
     
         
         
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