Geodesic
Analysis for unilateral contact problem with Coulomb's friction in thermo-electro-visco-elasticity
Filomat, Tome 36 (2022) no. 13, p. 4443

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DOI

The aim of this paper is to study a Signorini's problem with Coulomb's friction between a thermo-electro-viscoelasticity body and an electrically and thermally conductive foundation. The materiel's behavior is described by the linear thermo-electro-viscoelastic constitutive laws. The variational formulation is written as nonlinear quasivariational inequality for the displacement field, a nonlinear family elliptic variational equations for the electric potential and a nonlinear parabolic variational equations for the temperature field. We prove under some assumption existence of a weak solution to the problem. The thermo-electro-viscoelastic law with a some temperature parameter α > 0 is considered. Then we prove its unique solution as well as the convergence of its solution to the solution of the original problem as the temperature parameter α → 0.
DOI : 10.2298/FIL2213443B
Classification : 74F15, 74M15, 74M10, 74H20, 49J40
Keywords: Thermo-piezo-electric. Piezoelectric. Coulomb’s friction. Signorini’s condition. Variational inequality. Existence uniqueness. Fixed point process 
Mustapha Bouallala; El-Hassan Essoufi. Analysis for unilateral contact problem with Coulomb's friction in thermo-electro-visco-elasticity. Filomat, Tome 36 (2022) no. 13, p. 4443 . doi: 10.2298/FIL2213443B
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     author = {Mustapha Bouallala and El-Hassan Essoufi},
     title = {Analysis for unilateral contact problem with {Coulomb's} friction in thermo-electro-visco-elasticity},
     journal = {Filomat},
     pages = {4443 },
     year = {2022},
     volume = {36},
     number = {13},
     doi = {10.2298/FIL2213443B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2213443B/}
}
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