INFLUENCE OF INITIAL STRESSES ON THE STRESSED STATE OF A COMPOSITE WITH A PERIODIC SYSTEM OF PARALLEL COAXIAL NORMAL TENSILE CRACKS

摘要

Within the framework of the linearized mechanics of deformable solids, we have investigated the axi-symmetric problem of fracture of a prestressed composite material with a periodic system of parallel coaxial normal tensile cracks. Using the representations of the general solutions of linearized equilibrium equations via the harmonic potential functions and the technique of Hankel integral transformations, we have reduced the problem to a system of paired integral equations and then to a resolving second-kind Fredholm integral equation. We have obtained expressions for the stress intensity factors near the crack contours and for the case of a layered composite with isotropic layers. We have also analyzed the dependence of stress intensity factors on the initial stresses, the mechanical characteristics of components of the material, and the geometric parameters of the problem.