An electro-viscoelastic frictional contact problem with damage |
| |
Authors: | Mircea Sofonea Raafat Tarraf |
| |
Institution: | 1. Laboratoire de Mathématiques et Physique pour les Systèmes , Université de Perpignan , 52 Avenue Paul Alduy, 66 860 Perpignan, France sofonea@univ-perp.fr;3. Laboratoire de Mathématiques et Physique pour les Systèmes , Université de Perpignan , 52 Avenue Paul Alduy, 66 860 Perpignan, France |
| |
Abstract: | We consider a quasistatic frictional contact problem between a piezoelectric body and a foundation. The contact is modeled with normal compliance and friction is modeled with a general version of Coulomb's law of dry friction; the process is quasistatic and the material's behavior is described by an electro-viscoelastic constitutive law with damage. We derive a variational formulation for the model which is in the form of a system involving the displacement field, the electric potential field, and the damage field. Then we provide the existence of a unique weak solution to the model. The proof is based on arguments of evolutionary variational inequalities and fixed point. |
| |
Keywords: | Electro-viscoelastic material Damage Frictional contact Variational inequality Weak solution |
|
|