Strength of a bimaterial with slip on the interface and a single-periodic crack array

Abstract

A boundary-integral approach is employed to investigate the stress-strain state of an infinite bimaterial comprising two half-spaces with a single-period array of circular internal cracks subjected to static tensile loading. The interface surface of the body is subject to boundary conditions of ideal sliding contact. The problem is reduced to solving a two-dimensional boundary integral equation of the Newtonian potential type with respect to the unknown function of the rupture of the displacements of the defect surfaces. Using the solutions to the problem, the mode I stress intensity factors are calculated, and their dependence on the ratio of the stiffnesses of the bimaterial components, the distance from the defects to the interface, and the angular coordinate of the crack contour point is analyzed.