Stress fields due to dislocation arrays at interfaces

Abstract

Abstract The stress formulas for dislocation arrays located at the interface between two different materials are derived and shown to be simple generalizations of the well-known formulas for arrays in homogeneous bodies. The results are given for arrays that consist of discrete distribution of edge dislocations, and for those modeled by a continuous distribution of infinitesimal dislocations. The far field stresses exerted by a discrete array represent the stress field of the corresponding continuous array. The stress distribution due to an infinite dislocation array beneath the free surface of a semi-infinite body is derived and used in conjunction with an energy criterion to discuss a condition for spontaneous nucleation of the dislocation array.