Scattering Of Incident P-waves By A Semi-cylindrical Core-shell Structure In An Elastically Constrained Half-space At The Nanoscale

With the rapid development of nanoscience and technology,nanomaterials have become the core of new materials.Core-shell nanoparticles are novel composite nanostructures formed by combining two or more materials at the nanoscale.This kind of structure has a wider application prospect than single nanoparticles,so it has been paid much attention and many researchers have devoted a lot of time to the research.Under the premise of considering the theory of surface elasticity,the scattering of P wave on the surface of a semi-cylindrical coreshell structure in an elastic constrained half space at the nanometer scale is studied by using the method of wave function expansion,namely the separation of variables.The boundary conditions on the nanometer scale are given by using the generalized Y-L equation,and the dynamic stress concentration coefficient of the semi-cylindrical core-shell structure interface under the action of plane elastic wave is derived.The main research of this paper is as follows:(1)The scattering of P-waves by a semi-cylindrical core-shell structure in elastic constrained half-space at the nanometer scale is studied by using the method of wave function expansion,namely the method of separation of variables,in combination with displacement continuity and stress boundary conditions.(2)The scattering of P-waves by a semi-cylindrical core-shell structure with a non-ideal interface in elastic constrained half-space at the nanometer scale is studied by using the method of wave function expansion,namely the method of separating variables,and combining with the boundary conditions of discontinuous interface.The results show that under different incident wave frequencies,surface energy and shear modulus ratios(hard and soft inclusions),when the radius of the core-shell structure decreases to the nanoscale,they have a significant effect on the DSCF of the structure.Numerical calculations confirm this.