DISLOCATIONS IN BIMATERIALS

The solution of the elastic field in a bimaterial due to an infinitestimal dislocation loop of arbitrary orientation is presented. The bimaterial is idealized as two semi-infinite, isotropic, elastic solids either perfectly bonded or in frictionless contact with each other at the planar interface. The solution is simply the linear superposition of the solutions for the nuclei of strain in a bimaterial. The elastic field of a dislocation line, or a dislocation loop of arbitrary shape, orientation and Burgers vector can be obtained by integrating these results over the surface of the cut formally used to generate the dislocation. The elastic fields due to screw and edge dislocations with line vectors parallel to the planar interface are also presented. It is shown that existing solutions are special cases of the present general solution.