STRESS-FIELDS DUE TO DISLOCATION ARRAYS AT INTERFACES

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