Geodesic
Invariant integrals in the plane elasticity problem for bodies with rigid inclusions and cracks
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 1, pp. 99-109

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We consider the plane elasticity problem for a body with a rigid inclusion and a crack along the boundary between the elastic matrix and rigid inclusion. We show that this problem possesses $J$- and $M$-invariant integrals. In particular, we construct an invariant integral of Cherepanov–Rice type for straight cracks.
Keywords: invariant integrals, rigid inclusion, crack, derivative of the energy functional, Cherepanov–Rice integral. 
E. M. Rudoǐ. Invariant integrals in the plane elasticity problem for bodies with rigid inclusions and cracks. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 1, pp. 99-109. http://geodesic.mathdoc.fr/item/SJIM_2012_15_1_a9/
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