Screw Dislocation Interacting with Elastic Elliptical Inhomogeneity Including a Confocal Rigid Core

Abstract

The analytical solution of stress fields for an elastic elliptical inhomogeneity which includes a confocal rigid elliptical core and a screw dislocation under longitudinal shear is obtained explicitly in the series form by using the complex variable method. The influence of the rigid core on the interaction between screw dislocation and inhomogeneity is discussed. The image force acting on the screw dislocation is obtained. The results show that the rigid core in the inhomogeneity has strong influence on the interaction between screw dislocation and inhomogeneity. It can strengthen the repulsion to the dislocation when the inhomogeneity is hard, and weaken the attraction to the dislocation when the inhomogeneity is soft, whether the dislocation is in the inhomogeneity or in the matrix.