Existence and numerical approximation of a solution to frictional contact problem for electro-elastic materials  

作　　者：Othman Baiz EL-Hassan Benkhira Rachid Fakhar 

机构地区：[1]University Ibn Zohr,Lab.ESER,FP of Ouarzazate,Morocco [2]University Moulay Ismail,Faculty of Sciences,Laboratory MACS,ESTM,BP 3103,Toulal-Meknes,Morocco [3]University Sultan Moulay Slimane,Laboratory LS2ME,Polydisciplary Faculty of Khouribga,25000 Khouribga,Morocco

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2024年第2期201-219,共19页高校应用数学学报（英文版）（B辑）

摘　　要：In this paper,a frictional contact problem between an electro-elastic body and an electrically conductive foundation is studied.The contact is modeled by normal compliance with finite penetration and a version of Coulomb’s law of dry friction in which the coefficient of friction depends on the slip.In addition,the effects of the electrical conductivity of the foundation are taken into account.This model leads to a coupled system of the quasi-variational inequality of the elliptic type for the displacement and the nonlinear variational equation for the electric potential.The existence of a weak solution is proved by using an abstract result for elliptic variational inequalities and a fixed point argument.Then,a finite element approximation of the problem is presented.Under some regularity conditions,an optimal order error estimate of the approximate solution is derived.Finally,a successive iteration technique is used to solve the problem numerically and a convergence result is established.

关 键 词：piezoelectric material frictional contact variational Inequality fixed point process finite element method error estimation iteration method 

分 类 号：O313.5[理学—一般力学与力学基础]