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

doi:10.1007/s10483-015-1957-9

Abstract

Abstract: 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.

Key words: Signorini's condition, fixed point process, Tresca's friction, variational inequality, static frictional contact, thermo-piezoelectric material, frictional heat generation

2010 MSC Number:

O29
O343.6

H. BENAISSA, EL-H. ESSOUFI, R. FAKHAR. Existence results for unilateral contact problem with friction of thermo-electro-elasticity. Applied Mathematics and Mechanics (English Edition), 2015, 36(7): 911-926.

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