Original scientific paper

https://doi.org/10.3336/gm.45.1.10

Slip-dependent friction in dynamic electroviscoelasticity

Mostafa Kabbaj ; Department of Mathematics, Faculty of Sciences and Techniques, University Moulay Ismail, B. P. 509 - Boutalamine, Errachidia, Morocco
El-Hassan Essoufi ; Department of Mathematics, Faculty of Sciences and Techniques Settat, University Hassan Premier, Km 3, route Casablanca, B.P. 577, Settat, Morocco

Abstract

Existence and uniqueness of a weak solution for dynamical frictional contact between an electro-viscoelastic body and a rigid electrically non-conductive obstacle is established. The contact is modelled with a simplified version of Coulomb's law of dry friction in which the coefficient of friction depends on the slip. The proof is based on the regularization method, Faedo-Galerkin method, compactness and lower semicontinuity arguments.

Keywords

Dynamic electroviscoelasticity; second-order hyperbolic variational inequality; regularization method; Faedo-Galerkin method; compactness method; existence; uniqueness

Hrčak ID:

52372

URI

https://hrcak.srce.hr/52372

Publication date:

17.5.2010.

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