Analysis of a Frictionless Electro Viscoelastic Contact Problem with Signorini Conditions
Received: 10 July 2022 | Revised: 27 July 2022 | Accepted: 31 July 2022 | Online: 2 October 2022
Corresponding author: A. Ourahmoun
Abstract
This study considered a mathematical model to describe the process of a quasi-static contact between a piezoelectric body and an electrically conductive foundation. The behavior of the material was modeled with a nonlinear electro-viscoelastic constitutive law, the contact was frictionless, and the result was described with the Signorini condition. A variational formulation was derived for the problem, proving the existence and uniqueness of a weak solution of the model. The proof was based on arguments for nonlinear equations with maximal monotone operators.
Keywords:
electo-viscopastic material, frictionless contact;, Signorini conditions, maxmal monotone operators, weak solutionDownloads
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Copyright (c) 2022 A. Boulaouad, A. Ourahmoun, T. Serrar
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