Existence results for quasistatic contact problems with Coulomb friction

被引：65

作者：

Andersson, LE ^{[1
]}

机构：

[1] Linkoping Univ, Dept Math, SE-58183 Linkoping, Sweden

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2000年 / 42卷 / 02期

关键词：

Coulomb friction; local friction law; regularization; penalization; normal compliance unilateral contact; linear elasticity; shifting; variational inequalities; quasistatic; existence;

D O I：

10.1007/s002450010009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a solution for an elastic frictional, quasistatic, contact problem with a Signorini non-penetration condition and a local Coulomb friction law. The problem is formulated as a time-dependent variational problem and is solved by the aid of an established shifting technique used to obtain increased regularity at the contact surface. The analysis is carried out by the aid of auxiliary problems involving regularized friction terms and a so-called normal compliance penalization technique.

引用

页码：169 / 202

页数：34

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