A Stabilized Lagrange Multiplier Method for the Finite Element Approximation of Frictional Contact Problems in Elastostatics

被引：6
|
作者：
Lleras, V. [1 ]
机构：
[1] Univ Besancon, Math Lab, CNRS, UMR 6623, F-25030 Besancon, France
来源：
MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2009年 / 4卷 / 01期
关键词：
unilateral contact; Coulomb's friction law; finite elements; mixed method; stabilization; BABUSKA-BREZZI CONDITION; COULOMB-FRICTION; SIGNORINI PROBLEM; UNILATERAL PROBLEMS; ELASTIC CONTACT; BOUNDARY; MODEL; UNIQUENESS; EXISTENCE;
D O I：
10.1051/mmnp/20094108
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this work we consider a stabilized Lagrange multiplier method in order to approximate the Coulomb frictional contact model in linear elastostatics. The particularity of the method is that no discrete inf-sup condition is needed. We study the existence and the uniqueness of solution of the discrete problem.
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页码：163 / 182
页数：20
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