A planar analysis was made of a dislocation at an interface between dissimilar materials, where one material was linear and the other deformed according to a power-law hardening (n < 1) or softening (n > 1) stress-strain relationship. If n< 1, the modulus tended to zero near to the dislocation core in the non-linear medium. Therefore, to first order, the linear medium appeared to be rigid. The opposite was true for n > 1. This gave the first-order solution for the local field. Higher-order terms were derived for both media by imposing the continuity conditions of traction across the interlace and displacement ahead of the dislocation core. The displacements near to the dislocation core were found to be of differing orders in different regions. Results were presented for various values of the hardening and softening parameters. The methods used were expected to be applicable to the case where both materials had non-linear stress-strain laws.

On Interface Dislocations between Dissimilar Materials with Non-Linear Stress-Strain Laws (Plane Strain). C.Atkinson, C.Y.Chen: International Journal of Engineering Science, 1999, 37[5], 553-73