Asymptotic fields for interface crack in elastic-plastic material

Exact mathematical analyses are presented for interface crack between dissimilar elastic-plastic materials. The deformation theory of plasticity is used. For two kinds of boundary conditions on crack faces: (1) traction free and (2) frictionless contact, the asymptotic separable solutions of the HRR type with full continuity are obtained, which exist only for special mixity parameterM^p. For any assignedM^p, the separable solutions of the HRR type which contained weak discontinued line are further obtained. All of our results not only satisfy the continuity of displacements and that of tractions on the interface, but also they are free of oscillatory singularity and interpenetration of crack faces.This investigation is supported by the National Natural Science Foundation of China