The elastic field induced by a screw dislocation embedded in an anisotropic elastic multi-layered medium was presented here. A linear coordinate transformation was introduced here in order to simplify the problem. The explicit complete solutions of shear stresses and displacement for this problem consisted only of the simplest solutions for a screw dislocation in an infinite homogeneous medium. The physical meaning of the solution was the image method and the magnitudes and locations of image screw dislocations were determined automatically from the mathematical method presented here. With the aid of the Peach-Koehler equation, the explicit forms of image forces exerted on screw dislocations were easily derived from the full-field solutions of stresses. Numerical results for full-field stress distributions in multi-layered media subjected to a screw dislocation were presented. The image forces and equilibrium positions of a screw dislocation, two screw dislocations, and an array of screw dislocations were analyzed by means of numerical calculations.

Theoretical Analysis of Screw Dislocations and Image Forces in Anisotropic Multilayered Media. C.C.Ma, H.T.Lu: Physical Review B, 2006, 73[14], 144102 (12pp)