A stabilized Lagrange multiplier method for the enriched finite-element approximation of Tresca contact problems of cracked elastic bodies

被引：5

作者：

Amdouni, S. ^{[1
,2
]}

Moakher, M. ^{[1
]}

Renard, Y. ^{[3
]}

机构：

[1] Univ Tunis El Manor, Ecole Natl Ingn Tunis, Lab LAMSIN, Tunis 1002, Tunisia

[2] INSA Lyon, ICJ UMR5208, F-69621 Villeurbanne, France

[3] Univ Lyon, CNRS, INSA Lyon, ICJ UMR5208,LaMCoS UMR5259, F-69621 Villeurbanne, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2014年 / 270卷

关键词：

X-FEM; Tresca friction; Mixed formulation; A priori error estimates; Local projection stabilization method; SIGNORINI PROBLEM; COULOMB-FRICTION; ERROR ANALYSIS; BOUNDARY; DOMAIN; GROWTH;

D O I：

10.1016/j.cma.2013.11.022

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we propose a local projection stabilized Lagrange multiplier method in order to approximate the two-dimensional linear elastostatics unilateral contact problem with Tresca friction in the framework of the eXtended Finite Element Method X-FEM. This last method allows to perform finite-element computations on cracked domains by using meshes of the non-cracked domain. The advantage of the used stabilization technique is to affect only the equation on multipliers and thus to be equation independent. We study the existence, uniqueness and a priori error estimate of three hybrid discrete formulations. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：178 / 200

页数：23

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