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Article

Itou, Hiromichi ; Kovtunenko, Victor A. ; Tani, Atusi
The interface crack with Coulomb friction between two bonded dissimilar elastic media. (English). Applications of Mathematics, vol. 56 (2011), issue 1, pp. 69-97
MSC: 35B65, 35C20, 35D30, 35J57, 35J65, 35Q74, 49J40, 74B05, 74M10 | MR 2807427 | Zbl 1224.35054 | DOI: 10.1007/s10492-011-0010-7
Keywords:
linearized elasticity; singularities at the crack tip; interfacial crack; non-penetration condition; Coulomb friction
Summary:
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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