Nucleation of a crack-type defect in a body with voids

Abstract

A mathematical description of a model of crack nucleation in a heat-generating isotropic body weakened by a doubly periodic system of cylindrical channels with a round cross section is carried out. It is considered that, as the intensity of heat generation in such a body increases, cracks nucleate and the material undergoes destruction. The determination of unknown parameters that characterize the nucleating crack is reduced to the solution of a singular integral equation. Using the algebraization procedure, the integral equation is reduced to a set of nonlinear algebraic equations, which is solved by the method of successive approximations.