Analysis and numeric of mixed approach for frictional contact problem in electro-elasticity

Bouallala, M. and Essoufi, EL-H. and Zafrar, A. (2020) Analysis and numeric of mixed approach for frictional contact problem in electro-elasticity. Open Journal of Mathematical Analysis, 4 (1). pp. 20-37. ISSN 26168103

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Abstract

This work handle a mathematical model describing the process of contact between a piezoelectric body and rigid foundation. The behavior of the material is modeled with a electro-elastic constitutive law. The contact is formulated by Signorini conditions and Coulomb friction. A new decoupled mixed variational formulation is stated. Existence and uniqueness of the solution are proved using elements of the saddle point theory and a fixed point technique. To show the efficiency of our approach, we present a decomposition iterative method and its convergence is proved and some numerical tests are presented.

Item Type: Article
Subjects: STM Academic > Mathematical Science
Depositing User: Unnamed user with email support@stmacademic.com
Date Deposited: 31 Jan 2023 11:52
Last Modified: 19 Feb 2024 04:17
URI: http://article.researchpromo.com/id/eprint/141

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