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Variational analysis of a dynamic electroviscoelastic problem with friction
Aziza Bachmar, Souraya Boutechebak, Touffik Serrar Department of Mathematics, Faculty of Sciences, Ferhat Abbas University of Setif-1, 19000, Algeria
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.
Keywords:
piezoelectric, frictional contact, visco-elastic, fixed point, dynamic process, Сoulomb's law of friction, variational inequality.
Received: 06.04.2018 Received in revised form: 06.07.2018 Accepted: 06.08.2018
Citation:
Aziza Bachmar, Souraya Boutechebak, Touffik Serrar, “Variational analysis of a dynamic electroviscoelastic problem with friction”, J. Sib. Fed. Univ. Math. Phys., 12:1 (2019), 68–78
Linking options:
https://www.mathnet.ru/eng/jsfu729 https://www.mathnet.ru/eng/jsfu/v12/i1/p68
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