Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (1)
- Authors
- Bachmar, Aziza; Boutechebak, Souraya; Serrar, Touffik
- Contact information
- Bachmar, Aziza: Department of Mathematics, Faculty of Sciences Ferhat Abbas University of Setif-1, 19000 Algeria; Aziza_bechmar@yahoo.fr; Boutechebak, Souraya: Department of Mathematics, Faculty of Sciences Ferhat Abbas University of Setif-1, 19000 Algeria; bou_souraya @yahoo.fr; Serrar, Touffik: Department of Mathematics, Faculty of Sciences Ferhat Abbas University of Setif-1, 19000 Algeria; serrartouffik@yahoo.fr
- Keywords
- piezoelectric; frictional contact; visco-elastic; fixed point; dynamic process; coulomb’s law of friction; variational inequality
- Abstract
A dynamic contact problem is considered in the paper. The material behavior is described by electro- visco-elastic constitutive law with piezoelectric effects. The body is in contact with a rigide obstacle. Contact is described with the Signorini condition, a version of Coulomb’s law of dry friction, and with a regularized electrical conductivity condition. A variational formulation of the problem is derived. Under the assumption that coefficient of friction is small, existence and uniqueness of a weak solution of the problem is proved. The proof is based on evolutionary variational inequalities and fixed points of operators
- Pages
- 68–78
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/109322
Journal of Siberian Federal University. Mathematics & Physics / Variational Analysis of a Dynamic Electroviscoelastic Problem with Friction
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