Green’s function of bimaterials comprising all cases of material degeneracy

For bimaterials with planar interfaces subjected to a line force and dislocation, Green s functions are determined for all types of anisotropic materials including the nondegenerate, degenerate and extra-degenerate cases. The changes in Green s function caused by material degeneracy are twofold: (i) implicit changes, attributable to material effects only and characterized by high-order eigenvectors and their intrinsic coupling in the higher-order eigensolutions;(ii) explicit changes, influenced by boundary and interface conditions, that cause additional terms in Green s function. Material degeneracy affects the angular variation of the singular stress field, which may have significant implication on the failure prediction of strongly anisotropic materials. For all material types, Green s functions are obtained for bimaterials with a planar interface, and for multi-material wedges subjected to a line force and dislocation at the vertex. The results are expressed in a concise notation in terms of the complete set of eigenvectors and kernel matrices of analytic functions. 2004 Elsevier Ltd. All rights reserved.