Elastic Green's function for a damaged interface in anisotropic materials

Abstract

We present the derivation of the elastic Green's function for an anisotropic bimaterial in a state of plane strain. A Fourier transform method is used to calculate the Green's function. A discontinuity in displacement is permitted across the interface between the two solids. This provides a useful functional form for parameterizing damage along an interface. We show several examples for the form of the displacement discontinuity and calculate the displacement Green's function for each. The Green's function derived here is applicable to a variety of interface problems between two different anisotropic solids or for two similar solids at different orientations.