Adel Aissaoui, Nacerdine Hemici
Abstract:
We consider a quasistatic frictional contact problem for an electro
elastic-viscopalastic body with damage and adhestion.
The contact is modelled with normal compliance. The adhesion of
the contact surfaces is taken into account and modelled by a surface variable.
We derive variational formulation for the model which is in the form of a
system involving the displacement field, the electric potential field,
the damage field and the adhesion field. We prove the existence of a
unique weak solution to the problem. The proof is based on arguments
of time-dependent variational inequalities, parabolic inequalities,
differential equations and fixed point.
Submitted June 28, 2013. Published January 8, 2014.
Math Subject Classifications: 74C10, 49J40, 74M10, 74M15
Key Words: Piezoelectric; elastic-viscoplastic; friction contact;
normal compliance; fixed point; variational inequality.
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Adel Aissaoui Department of Mathematics University of Ouargla Ouargla 30000, Algeria email: aissaouiadel@gmail.com | |
Nacerdine Hemici Department of Mathematics University of Setif Setif 19000, Algeria email: na_hemici@yahoo.fr |
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