Two perfectly-bonded dissimilar orthotropic strips with an interfacial crack normal to the boundaries

The problem of an interface crack between two bonded dissimilar semi-infinitely long orthotropic strips of finite width is analyzed under arbitrary anti-plane shear loading. By using the finite Fourier transform technique, the mixed boundary value problem is reduced to triple series equations, which are then transformed to a singular integral equation. For the case of either stress-free or clamped boundaries, the solutions to the problem are obtained in closed-form, respectively. In particular, explicit expressions for stress field and further stress intensity factors at each crack tip are determined for uniform anti-plane shear loading. Some the well-known results can be taken as the special cases of the present results.