An analytical study was made of the stress field, image force and shielding effect of an edge dislocation in the vicinity of an elliptical hole. The results showed that the dislocation source played a pivotal role in the interaction. The stress field and image force were more pronounced for an edge dislocation which was emitted from the elliptical hole, than those for an edge dislocation from elsewhere. The effects of anisotropy were most marked for the σzz stress component. When a dislocation was emitted from the hole and then moved far away, the interaction between the dislocation and the hole behaved like that between a real dislocation and a dislocation image which was located at the center of the hole and had the same Burgers vector but an opposite sign to that of the real dislocation. However, there was no interaction at all between a dislocation and the hole if the dislocation from elsewhere was located far away from the hole. In general, the anisotropy produced an abnormal image force. When the dislocation was located on the x-axis and had a Burgers vector which was parallel to the x-axis, an abnormal image force was produced along the y-axis. An abnormal image force was produced along the x-axis when the dislocation was located on the y-axis and had a Burgers vector which was parallel to the y-axis. The solution for an edge dislocation interacting with an elliptical hole in an infinite isotropic elastic body was also derived.

Interaction of an Edge Dislocation with an Elliptical Hole in a Rectilinearly Anisotropic Body. B.T.Chen, T.Y.Zhang, S.Lee: Mechanics of Materials, 1997, 31[1], 71-93