Aufsatz(elektronisch)#113. Dezember 2021
A dynamic electroviscoelastic problem with thermal effects
In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 66, Heft 4, S. 769-781
Applied Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, University of Setif 1, 19000, Algeria e-mail: ssmata@yahoo.fr; Smata, Sihem; Lebri, Nemira; Applied Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, University of Setif 1, 19000, Algeria e-mail: nem mat2000@yahoo.fr
Applied Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, University of Setif 1, 19000, Algeria e-mail: ssmata@yahoo.fr; Smata, Sihem; Lebri, Nemira; Applied Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, University of Setif 1, 19000, Algeria e-mail: nem mat2000@yahoo.fr
ISSN: 2065-961X
We consider a mathematical model which describes the dynamic pro- cess of contact between a piezoelectric body and an electrically conductive foun- dation. We model the material's behavior with a nonlinear electro-viscoelastic constitutive law with thermal e ects. Contact is described with the Signorini condition, a version of Coulomb's law of dry friction. A variational formulation of the model is derived, and the existence of a unique weak solution is proved. The proofs are based on the classical result of nonlinear rst order evolution inequali- ties, the equations with monotone operators, and the xed point arguments.