Disclinations and Their Applications to Stress Analysis : Application of Wedge Disclination Dipole Field to Two-Dimensional Elastic Problem

Abstract

This paper deals with application of the stress and displacement field of a wedge disclination dipole in an infinite isotropic elastic medium to analysis of a two-dimensional elastic problem by means of the indirect boundary element method. The disclination dipole has a singularity at its center, and hence we introduce the fictitious boundary method in order to avoid the reduction in the accuracy of the analysis which is caused by the singularity. Consequently, it is found that we can obtain sufficient accuracy if we choose a value 3 or greater as the coefficient of the distance of the fictitious boundary, and it is ascertained that the fields of the wedge disclination dipole can be applied to the analysis of the two-dimensional elastic problem.