An isotropic circular inhomogeneity partially bonded to an anisotropic medium

Abstract

We study the generalized plane strain deformations of an elastically isotropic circular inhomogeneity partially bonded to an unbounded generally anisotropic elastic matrix. The two-phase composite is subjected to a uniform loading at infinity, and meanwhile a line force and a line dislocation are applied both in the inhomogeneity and in the matrix. An elegant closed-form solution is obtained by reducing the original boundary value problem to a non-homogeneous Riemann–Hilbert problem of vector form which can be analytically solved by using a decoupling method and evaluating the Cauchy integrals. Surface traction on the bonded part of the interface, displacement jump across the debonded part of the interface, and the complex and real stress intensity factors at the crack tips are explicitly derived when the composite is only subjected to a remote uniform loading.