Analysis of Anti-Plane Problems for Isotropic Elastic Matrix Containing Several Circular Inclusions with Singular Disturbances

Abstract

In this paper, the theoretical solutions are shown for the cases of a two-dimensional isotropic elastic medium containing an isotropic elastic circular inclusion loaded in singular disturbances at a finite point inside and having different isotropic elastic circular inclusions, under the anti-plane loading. It is assumed that the boundary conditions among the matrix and the elastic inclusion are perfectly bonded. This analysis is based on the complex variable method using the Mebius Transformation. Using these techniques, several examples are shown by graphical representation.