A VARIATIONAL APPROACH FOR AN ELECTRO‐ELASTIC UNILATERAL CONTACT PROBLEM

Author:

Matei Andaluzi1

Affiliation:

1. Department of mathematics, University of Craiova A.I. Cuza street 13, 200585, Romania

Abstract

We consider a mechanical model which describes the frictionless unilateral contact between an electro‐elastic body and a rigid electrically non‐conductive foundation. For this model, a mixed variational formulation is provided. Then, using elements of the saddle point theory and a fixed point technique, an abstract result is proved. Based on this result, the existence of a unique weak solution of the mechanical problem is established.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. An error estimate for bilateral contact problem with nonmonotone friction between two electroelastic bodies;Applicable Analysis;2022-01-24

2. J‐ADMM for a multi‐contact problem in electro‐elastostatics;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2021-10-17

3. Existence and uniqueness result for a class of mixed variational problems;Journal of Inequalities and Applications;2018-04-20

4. Alternating direction method of multiplier for a unilateral contact problem in electro-elastostatics;Computers & Mathematics with Applications;2017-04

5. Weak solvability via Lagrange multipliers for contact problems involving multi-contact zones;Mathematics and Mechanics of Solids;2014-07-07

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