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

被引：0
|
作者：
H.BENAISSA [1 ]
EL-H.ESSOUFI [1 ]
R.FAKHAR [2 ]
机构：
[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
来源：
Applied Mathematics and Mechanics(English Edition) | 2015年 / 36卷 / 07期
关键词：
static frictional contact; thermo-piezoelectric material; Signorini’s condition; Tresca’s friction; frictional heat generation; varia;
D O I：
暂无
中图分类号：
O343.3 [接触问题];
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.
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页码：911 / 926
页数：16
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