Surface effect on the diffraction of horizontal shear waves near a nanosized cylindrical hole in half-plane

At nanoscale, surface and interface have significant effects on the physical and mechanical properties of solids, due to the increasing ratio of surface area to volume. Diffraction of horizontal shear waves (SH-wave) around a nanosized cylindrical hole in a half-plane is presented in this paper. The surface elasticity theory is adopted to account for surface effects at nanoscale. Using the displacement potential and wave functions expansion methods, the elastic fields around the hole induced by incident SH-wave are studied analytically. For different incident wave frequencies and different separations between the surface of the half-plane and the hole, the effects of surface properties on the dynamic stress concentration is discussed in detail. The results show that surface effects play an important role in the diffractions of SH-wave as the radius of the hole shrinks to nanoscale. Generally speaking, with the increase of surface constant, the dynamic stress concentration will decrease almost in the whole range. When the separation between the hole and the surface of the half-plane gets larger, the dynamic stress concentration will also decline due to the constraint from surrounding medium. Moreover, surface effects also evidently alter the shape of surface of the half-plane, compared to the conventional analysis.