Anti-plane shear crack in a sandwich composite

An analysis of an anti-plane shear crack in a sandwich composite is presented. The sandwich composite is formed by bonding one layer and two half spaces, each being anisotropic and dissimilar. The crack is assumed to be located in the middle layer and is inclined by an angle. The analysis is done by a complex-variable integral equation formulation based on the fundamental solution of a dislocation in the layer. The numerical results for vanishingly thin layers are shown to be consistent with those obtained by the J-integral.