Two Interacting Circular Nano-Holes with Interface Effect Under Anti-Plane Shear Waves

The paper considers the multiple scattering of anti-plane shear waves from two interacting circular nano-holes with interface effect, and the dynamic stress concentration factor around the nano-holes in the nano-composites is obtained. The analytical solutions of displacement fields are expressed by employing wave function expansion method, the expanded mode coefficients are determined by satisfying the boundary conditions at the interfaces of the two nano-holes. Addition theorem for cylindrical wave function is applied to accomplish the superposition of wave fields. Analyses show that the effect of the interfacial properties on the dynamic stress is significantly relative to the wave frequency of incident waves, the shear modulus ratio of interface to matrix, and the distance and relative position of the two nano-holes. Comparison with the previous results is also presented.