Abstract
A class of spatial problems of elasticity theory for cracks extended along a smooth space curve is solved by asymptotic methods. The two first terms of the asymptotic form of the displacement jumps and the stress intensity coefficients are constructed and their dependence on the crack geometry is investigated. The problem of an annular crack on a cylindrical surface is considered as an example, and results of its asymptotic solution are presented for different kinds of loads, including taking account of superposition of the edges. Analogous, more simple problems on cracks extended along a plane curve are considered in /1, 2/.
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