On a circular shear crack in a semiinfinite composite with initial stresses

Abstract

By the methods of the linearized three-dimensional mechanics of deformed bodies, we consider an axisymmetric problem of a circular subsurface crack of radial shear in a semiinfinite composite material with initial stresses. We deduce the resolving system of Fredholm integral equations of the second kind and the representations of the stress intensity factors in the vicinity of the crack tip depending on the initial stresses. For two types of composite materials (layered composites with isotropic layers and composites stochastically reinforced by short ellipsoidal fibers), we compute the stress intensity factors and study their dependence on the initial stresses, physicomechanical characteristics of the composites, and the geometric parameters of the problem.