Analysis of Stress Intensity Factors in the Interaction of Angular Corners under Various Loads.

Abstract

This paper deals with numerical solutions of singular integral equations in interaction problems of diamond-shaped holes with angular corners under various loading conditions. The problems are formulated as a system of singular integral equations on the basis of the body force method. In order to analyse the problems accurately, the unknown functions of the body force densities are expressed as a linear combination of two types of fundamental density functions and power series, where the fundamental density functions are chosen to express the symmetric stress singularity of 1/γ1-λ1 and the skew-symmetric stress singularity of 1/γ1-λ2. The stress intensity factors (SIFs) of the angular corners are systematically calculated for various shapes, spacings and numbers of the diamondshaped holes subjected to uniaxial tension, biaxial tension and in-plane shear in comparison with the SIFs of ordinary cracks. The present method is found to give rapidly converging numerical results for the interaction problem. For all types of diamond-shaped holes, the maximum SIF is shown to be linearly related to the reciprocal of the number of diamond-shaped holes.