Journal of Siberian Federal University. Mathematics & Physics / Variational Analysis of a Dynamic Electroviscoelastic Problem with Friction

Full text (.pdf)
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; ; 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;
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