Interaction of Elastic Waves with a Cylindrical Nano-inclusion

At nanoscale, surface and interface have significant effects on the physical and mechanical properties of solids, due to the increasing ratio of surface/interface area to volume. The diffraction of plane compressional and shear waves by a cylindrical nano-inclusion are investigated in this paper. To account for the effect of surface/interface energy at nanoscale, the surface/interface elasticity is adopted in analysis. The mathematical modeling shows that surface/interface parameter has significant effect on the diffraction of elastic waves when the radius of the inclusion decreases to nanometers. However, the numerical results show that beyond a critical interfacial parameter, the surface/interface effect does not affect on the diffracted wave from the nano-inclusion and the form function becomes independent of variation of the surface/interface energy.