Abstract
By using the approaches of three-dimensional linearized mechanics of deformed bodies, we study the axisymmetric problem of two parallel coaxial circular cracks in an infinite composite material with initial stresses acting in the planes of the cracks. The resolving system of Fredholm integral equations of the second kind is deduced and the representations of the stress intensity factors in the vicinity of the crack tips are obtained. The dependences of the stress intensity factors on the initial stresses and the distance between the cracks are determined. For two types of composite materials, namely, for a layered composite with isotropic layers and a composite with stochastic reinforcement by short ellipsoidal fibers, the stress intensity factors are computed and their dependences on the initial stresses, physicomechanical characteristics of the composites, and geometric parameters of the problem are investigated.
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