Tedjani Hadj Ammar, Benyattou Benabderrahmane, Salah Drabla
Abstract:
We consider a quasistatic contact problem between two electro-viscoelastic
bodies with long-term memory and damage. The contact is frictional and
is modelled with a version of normal compliance condition and the associated
Coulomb's law of friction in which the adhesion of contact surfaces is taken
into account. We derive a variational formulation for the model and prove an
existence and uniqueness result of the weak solution. The proof is based on
arguments of evolutionary variational inequalities, a classical existence and
uniqueness result on parabolic inequalities, and Banach fixed point theorem.
Submitted May 20, 2014. Published October 21, 2014.
Math Subject Classifications: 49J40, 74H20, 74H25.
Key Words: Electro-viscoelastic material with long-term memory; damage;
adhesion; friction contact; normal compliance;
variational inequality; fixed point.
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Tedjani Hadj Ammar Departement of Mathematics Faculty of Sciences and Technology University of El-Oued, 39000 El-Oued, Algeria email: hat_olsz@yahoo.com |
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Benyattou Benabderrahmane Department of Mathematics Faculty of Mathematics and Informatics M'Sila University, Algeria email: bbenyattou@yahoo.com |
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Salah Drabla Department of Mathematics Faculty of Sciences University of Sétif, 19000 Sétif, Algeria email: drabla_s@yahoo.fr |
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