Boundary element alternating method applied to analyze the stress concentration problems of multiple elliptical holes in an infinite domain

Abstract

This paper presents an efficient boundary element alternating method for analyzing the interactions among multiple elliptical holes in a two dimensional infinite domain under remote uniform stresses. Instead of the analytical solution used in the conventional alternating method, the stress distribution in an infinite domain with a single elliptical hole subjected to the arbitrary tractions across the boundary is solved by the boundary element method. Then this solution correlates with a successive iterative superposition process capable of satisfying the prescribed boundary for each elliptical holes of the problem. Both the effects of various sizes of holes and ligaments among ellipses on the stress concentration are studied in detail. In addition, the computed results and the available referenced solutions closely corresponds to each other indicate the method’s accuracy and efficiency.