Stress Analysis of Anisotropic and Orthotropic Bi-material III-mode Interface Crack

The problem of an anisotropic and an orthotropic bi-material with Ⅲ-mode interface crack was studied.A new stress function was constructed and the complex variable methods of composite material fracture were used,A class of partial differential equations with boundary value problems were solved.The expression of stress field,displacement field and stress intensity factor around the crack tip were derived.The results show that the stress has singularity of r-1 /2,however without oscillation.Then the stress change with polar diameter r was got through an example.When α = 0,the expressions of stress field and displacement field of orthotropic bi-material are consistent with the literature [3],which verified the correctness of the result.