Geodesic
The interface crack with Coulomb friction between two bonded dissimilar elastic media
Applications of Mathematics, Tome 56 (2011) no. 1, pp. 69-97.

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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.
DOI : 10.1007/s10492-011-0010-7
Classification : 35B65, 35C20, 35D30, 35J57, 35J65, 35Q74, 49J40, 74B05, 74M10
Keywords: linearized elasticity; singularities at the crack tip; interfacial crack; non-penetration condition; Coulomb friction 
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     title = {The interface crack with {Coulomb} friction between two bonded dissimilar elastic media},
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Itou, Hiromichi; Kovtunenko, Victor A.; Tani, Atusi. The interface crack with Coulomb friction between two bonded dissimilar elastic media. Applications of Mathematics, Tome 56 (2011) no. 1, pp. 69-97. doi : 10.1007/s10492-011-0010-7. http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0010-7/

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