The interface crack with Coulomb friction between two bonded dissimilar elastic media

被引：0
|
作者：
Hiromichi Itou
Victor A. Kovtunenko
Atusi Tani
机构：
[1] Gunma University,Department of Mathematics, Graduate School of Engineering
[2] Karl-Franzens University of Graz,Institute for Mathematics and Scientific Computing
[3] Lavrent’ev Institute of Hydrodynamics,Department of Mathematics, Faculty of Science and Technology
[4] Keio University,undefined
来源：
Applications of Mathematics | 2011年 / 56卷
关键词：
linearized elasticity; singularities at the crack tip; interfacial crack; nonpenetration condition; Coulomb friction; 35C20; 35J65; 49J40; 74B05; 74M10;
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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.
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