A mixed variational approach for modeling frictional contact problems with normal compliance in electro-elasticity

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2024-09-02 DOI:10.1007/s00707-024-04070-2

El Hassan Benkhira, Ouiame El Yamouni, Rachid Fakhar, Youssef Mandyly

引用次数: 0

Abstract

In this paper, we consider the frictional contact model between a piezoelectric body and an electrically conductive foundation. This contact is described by a reduced normal compliance law. To address this problem, we establish a mixed variational formulation and prove the existence of a unique solution. Moreover, we present an efficient algorithm for approximating the weak solution for the contact problem, taking into account both friction and electrical contact conditions. We conclude with numerical examples that demonstrate the practicality of the model.

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模拟电弹性法向顺应性摩擦接触问题的混合变分法

在本文中，我们考虑了压电体与导电地基之间的摩擦接触模型。这种接触由还原法向顺应律描述。为了解决这个问题，我们建立了一个混合变分公式，并证明了唯一解的存在。此外，考虑到摩擦和电接触条件，我们提出了一种近似接触问题弱解的高效算法。最后，我们通过数值示例证明了该模型的实用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.