A new dislocation-like model for imperfect interfaces and their effect on load transfer

Abstract

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