A review of the theory of static and quasi-static frictional contact problems in elasticity

被引：26

作者：

Andersson, LE ^{[1
]}

Klarbring, A

机构：

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

[2] Linkoping Univ, Dept Mech Engn, SE-58183 Linkoping, Sweden

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2001年 / 359卷 / 1789期

关键词：

Coulomb friction; unilateral contact; linear elasticity; quasi-static problem; existence; uniqueness;

D O I：

10.1098/rsta.2001.0908

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper gives a review of mathematical results of existence and uniqueness of solutions to problems of linear elasticity involving friction. Static, steady sliding and quasi-static problems are discussed. Both the case of a continuum body and that of a space-discrete one are treated. The intention is to describe the state of the art for these problems.

引用

页码：2519 / 2539

页数：21

共 48 条

[1] A quasistatic frictional problem with a normal compliance penalization term [J].

Andersson, LE .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (06) :689-705

[2] On a class of limit states of frictional joints: Formulation and existence theorem [J].

Andersson, LE ;

Klarbring, A .

QUARTERLY OF APPLIED MATHEMATICS, 1997, 55 (01) :69-87

[3] A QUASI-STATIC FRICTIONAL PROBLEM WITH NORMAL COMPLIANCE [J].

ANDERSSON, LE .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 16 (04) :347-369

[4]

ANDERSSON LE, 2001, IN PRESS APPL MATH O

[5]

ANDERSSON LE, 1995, ADV MAT SCI APPL, V1, P249

[6]

ANDERSSON LE, 2000, EUR J MECH A-SOLID, V19, P61

[7]

[Anonymous], 1999, LITHMATR199922 LINK

[8] A counter-example to uniqueness in quasi-static elastic contact problems with small friction [J].

Ballard, P .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1999, 37 (02) :163-178

[9]

Brezis, 1972, B UNIONE MAT ITAL, V6, P293

[10] Formulation and approximation of quasistatic frictional contact [J].

Cocu, M ;

Pratt, E ;

Raous, M .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1996, 34 (07) :783-798

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