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

被引：0

作者：

H. Benaissa

El-H. Essoufi

R. Fakhar

机构：

[1] Informatique et Sciences de l’Ingénieur (MISI),Laboratoire de Recherche en Mathématique

[2] Université Hassan 1,Laboratoire de Science des Matériaux, des Milieux et de la Modélisation (LS3M)

来源：

Applied Mathematics and Mechanics | 2015年 / 36卷

关键词：

static frictional contact; thermo-piezoelectric material; Signorini’s condition; Tresca’s friction; frictional heat generation; variational inequality; fixed point process; O29; O343.6; 35J85; 47J20; 49J40; 74F15; 74G30; 74M10; 74M15; 74S05;

D O I：

暂无

中图分类号：

学科分类号：

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 derived. Existence and uniqueness of the solution are proved using the results of variational inequalities and a fixed point theorem.

引用

页码：911 / 926

页数：15

共 19 条

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