The Usefulness and Limit of the Direct Regular Method in Boundary Element Elastostatic Analysis : Solid-Mechanisc, Strength of Materials

Abstract

The Direct Regular Method is applied to BEM elastostatic analysis. In this method, the domain of the problem is discretized by defining freedoms on its boundary, as usual, but the load point of the fundamental solution is located outside the domain so that the singular integral can be avoided. Stress intensity factors for a crack and stress concentration for a hole are analyzed by this method and the usefulness and limit of this method are discussed in comparison with Direct BEM. It is shown that this method can give an accurate solution for these problems if the load points are arranged very near the boundary. It is found that this method is especially useful for the problem with a corner point where the tractions on both edges are unknown. This method can be used in combination with the Direct Method.