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A general method is given, by which problems of elastic plane strain in a bimetallic medium can be reduced to standard problems of potential theory. A bimetallic medium is one where the elastic constants are different on either side of a plane. The boundary between the two semi-infinite solids can be either a complete weld, or it can transmit direct stress but not shear stresses. A special case is a semi-infinite solid with a free surface. Specific examples considered are (i) an edge dislocation in a semi-infinite solid with a free surface, (ii) an edge dislocation in a bimetallic solid for both types of boundary. In neither case can the stress field be given a simple interpretation in terms of images. However, the stress tending to move the dislocation is the same as that of a dislocation of suitable strength at the image point.
A. K. Head (Tue,) studied this question.