A dislocation-like model was proposed for the description of the boundary conditions on an imperfect interface. In this new model, a thin layer of interphase material was introduced near to the interface. In the limit of vanishing layer thickness, the interfacial tractions became continuous but the displacements on either side of the interphase layer became discontinuous. The jump in the displacement at the interface was described by means of Somigliana dislocations. The variable discontinuity of displacement across the interface was assumed to be linearly proportional to the displacement at the interface of the constituent where the elastic singularity was located. The result of applying this model was equivalent to introducing 2 effective interfacial moduli of rigidity. By using this model, the effect of imperfect interfaces upon load transfer was studied. The Green's function was obtained for two semi-infinite solids with a planar interface. The elastic fields due to defects such as inclusions and dislocations were also deduced.

A New Dislocation-Like Model for Imperfect Interfaces and their Effect upon Load Transfer. H.Y.Yu: Composites A, 1998, 29[9-10], 1057-62