The stress formulae for dislocation arrays at the interface between 2 different materials were shown to be simple generalizations of the well-known formulae for arrays in homogeneous bodies. Results were presented for arrays that consisted of discrete distributions of edge dislocations, and for those that were modelled by using a continuous distribution of infinitesimal dislocations. The far-field stresses which were exerted by a discrete array represented the stress field of the corresponding continuous array. The stress distribution that was produced by an infinite dislocation array beneath the free surface of a semi-infinite body was derived and was used, together with an energy criterion, to determine a criterion for spontaneous nucleation of a dislocation array.

Stress Fields due to Dislocation Arrays at Interfaces. V.A.Lubarda, D.A.Kouris: Mechanics of Materials, 1996, 23, 191-203