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

This paper presents an efficient boundary element alternating method for an alyzing the interactions among multiple elliptical holes in a two dimension al infinite domain under remote uniform stresses. Instead of the analytical solution used in the conventional alternating method, the stress distribut ion in an infinite domain with a single elliptical hole subjected to the ar bitrary tractions across the boundary is solved by the boundary element met hod. Then this solution correlates with a successive iterative superpositio n process capable of satisfying the prescribed boundary for each elliptical holes of the problem. Both the effects of various sizes of holes and ligam ents among ellipses on the stress concentration are studied in detail. In a ddition, the computed results and the available referenced solutions closel y corresponds to each other indicate the method's accuracy and efficiency. (C) 1999 Elsevier Science S.A. All rights reserved.