Interaction of a doubly-periodic system of rectilinear cracks in an isotropic medium: PMM vol.38, n≗5, 1974, pp. 906–914

Abstract

The problem of the tension and shear on a plane isotropic medium weakened by a doubly-periodic system of rectilinear cracks is considered. General representations are constructed for the solutions describing a class of problems with doubly-periodic stress distribution outside the cracks. The fundamental singular equation of the problem is reduced to an infinite system of linear algebraic equations without the intermediate step of reducing it to a Fredholm equation. The procedure to determine the stress intensity factors is written out. Questions related to modeling the described lattice by a continuous isotropic medium are examined and the elastic characteristics of this latter are determined (the macroscopic parameters of a medium with cracks). Results of computations are presented. The doubly-periodic problem for a symmetric rhombic lattice has been considered by another method in [1. 2].