Geodesic
A problem with wear involving thermo-electro-viscoelastic materials
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 2, pp. 241-254

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In this paper, we consider a mathematical model of a contact problem in thermo-electro-viscoelasticity. The body is in contact with an obstacle. The contact is frictional and bilateral with a moving rigid foundation which results in the wear of the contacting surface. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem. The proof is based on a classical existence and uniqueness result on parabolic inequalities, differential equations and fixed point arguments. We present a variational formulation of the problem, and we prove the existence and uniqueness of the weak solution.
Keywords: piezoelectric, temperature, thermo-electro-viscoelastic, variational inequality, wear. 
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Aziza Bachmar; Djamel Ouchenane. A problem with wear involving thermo-electro-viscoelastic materials. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 2, pp. 241-254. http://geodesic.mathdoc.fr/item/JSFU_2022_15_2_a10/