THE INTERFACE CRACK WITH COULOMB FRICTION BETWEEN TWO BONDED DISSIMILAR ELASTIC MEDIA

被引：27

作者：

Itou, Hiromichi ^{[1
]}

Kovtunenko, Victor A. ^{[2
,3
]}

Tani, Atusi ^{[4
]}

机构：

[1] Gunma Univ, Grad Sch Engn, Dept Math, Kiryu, Gunma 3768515, Japan

[2] Karl Franzens Univ Graz, Inst Math & Sci Comp, A-8010 Graz, Austria

[3] MA Lavrentev Hydrodynam Inst, Novosibirsk 630090, Russia

[4] Keio Univ, Fac Sci & Technol, Dept Math, Yokohama, Kanagawa 2238522, Japan

来源：

APPLICATIONS OF MATHEMATICS | 2011年 / 56卷 / 01期

基金：

奥地利科学基金会;

关键词：

linearized elasticity; singularities at the crack tip; interfacial crack; non-penetration condition; Coulomb friction; CONTACT PROBLEMS; SIGNORINI; KINK; SET;

D O I：

10.1007/s10492-011-0010-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a model of interfacial crack between two bonded dissimilar linearized elastic media. The Coulomb friction law and non-penetration condition are assumed to hold on the whole crack surface. We define a weak formulation of the problem in the primal form and get the equivalent primal-dual formulation. Then we state the existence theorem of the solution. Further, by means of Goursat-Kolosov-Muskhelishvili stress functions we derive convergent expansions of the solution near the crack tip.

引用

页码：69 / 97

页数：29

共 33 条

[1] Existence results for quasistatic contact problems with Coulomb friction [J].