Research Communication | Open Access
Volume 2019 | Communication ID 77
Volume 2019 | Communication ID 77
| Numerical analysis of a frictional electro-elastic contact problem with normal compliance |
El Hassan Benkhira, Rachid Fakhar, Youssef Mandyly
Received |
Accepted |
Published |
Jan 21, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In this paper, we study a class of static problems involving a frictional normal compliance contact model for electro-elastic materials with an electrically conductive foundation. The variational formulation of the problem leads to a general system coupling a quasi-variational inequality for the displacement field and a variational equation for the electric field. We establish an existence and uniqueness result of the solution. Then we provide a numerical scheme of approximation, and we prove its convergence. Finally, we present numerical simulations in the study of a two-dimensional test ...