首页 | 本学科首页   官方微博 | 高级检索  
     检索      


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
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号