Electron. J. Diff. Equ., Vol. 2014 (2014), No. 11, pp. 1-19.

A frictional contact problem with damage and adhesion for an electro elastic-viscoplastic body

Adel Aissaoui, Nacerdine Hemici

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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