Existence results for unilateral contact problem with friction of thermo-electro-elasticity  

作　　者：H.BENAISSA EL-H.ESSOUFI R.FAKHAR 

机构地区：[1]Laboratoire de Recherche en Mathématique,Informatique et Sciences de l’Ingénieur (MISI) [2]Laboratoire de Science des Matériaux,des Milieux et de la Modélisation (LS3M),Université Hassan 1

出　　处：《Applied Mathematics and Mechanics(English Edition)》2015年第7期911-926,共16页应用数学和力学（英文版）

摘　　要：This work studies a mathematical model describing the static process of contact between a piezoelectric body and a thermally-electrically conductive foundation. The behavior of the material is modeled with a thermo-electro-elastic constitutive law. The contact is described by Signorini＇s conditions and Tresca＇s friction law including the electrical and thermal conductivity conditions. A variational formulation of the model in the form of a coupled system for displacements, electric potential, and temperature is de- rived. Existence and uniqueness of the solution are proved using the results of variational inequalities and a fixed point theorem.This work studies a mathematical model describing the static process of contact between a piezoelectric body and a thermally-electrically conductive foundation. The behavior of the material is modeled with a thermo-electro-elastic constitutive law. The contact is described by Signorini＇s conditions and Tresca＇s friction law including the electrical and thermal conductivity conditions. A variational formulation of the model in the form of a coupled system for displacements, electric potential, and temperature is de- rived. Existence and uniqueness of the solution are proved using the results of variational inequalities and a fixed point theorem.

关 键 词：static frictional contozt thermo-piezoelectric material Signorini＇s condi-tion Tresca＇s friction frictional heat generation variational inequality fixed point process 

分 类 号：O343.3[理学—固体力学]