Mode III Stress Singularity Analysis of Isotropic and Orthotropic Bi-material near the Interface End

Abstract

   The stress singularity near the Mode Ⅲ interface end of isotropic and orthotropic bi-material was studied. Based on arbitrary angle boundary conditions, by solving a class of harmonic equations we discussed the root of the characteristic equation with the help of complex function method of material fracture. The expression and variation of the singularity index  of the tip of interfacial crack and the symmetric interface end is obtained as well. The analytical expressions of the stress and displacements fields and the stress intensity factor around the interfacial crack are derived