Surface/interface effect on the scattered fields of an anti-plane shear wave in an infinite medium by a concentric multi-coated nanofiber/nanotube

In this paper, the scattering of anti-plane shear waves in an infinite matrix containing a multi-coated nanofiber/nanotube is studied. Based on the fact that the surface to volume ratio for nano-size objects increases, the usual classical theories which generally neglect the surface/interface effects fail to provide reasonable results. Therefore, to analyze the problem the wave-function expansion method is coupled with the surface/interface elasticity theory. In order to provide some quantitative results through consideration of several examples, the knowledge of the relevant surface and/or interface properties of the corresponding constituent materials are required. For this reason, part of this work is devoted to the development of the method of calculation of these properties. Subsequently, the surface shear modulus and residual stresses of several fcc materials as well as interface shear modulus and residual stresses of some fcc–fcc bicrystals are computed. For determination of these parameters a molecular dynamics program which uses Rafii-Tabar and Sutton interatomic potential function is addressed. In numerical calculations, the essential role of surfaces and interfaces in nano-scale is well approved.

► Scattering of SH waves in an infinite matrix by a multi-coated nanofiber/nanotube.
► Traditional theories neglect the surface/interface effects hence invalid for nano-size objects.
► Wave-function expansion method is coupled with surface/interface elasticity theory.
► A method of calculation of the surface/interface properties for fcc/fcc–fcc metals is proposed.
► The essential role of surfaces and interfaces in nano-scale is demonstrated.