Scattering Of Plane P Waves By Hollow Core-shell Nanoparticles

Core-shell nanomaterials have more opportunities in various fields than other nanomaterials because of their unique size and morphology.Many researches have been carried out on core-shell nanomaterials,and many outstanding properties have been found,including improved mechanical properties,tunable optical properties,anticorrosive and catalytic properties,and so on.As the size of the material decreases to the nanometer level,the number of atoms on the surface increases rapidly,the radius of particles decreases and the specific surface area increases rapidly,resulting in a sharp increase in surface energy,insufficient coordination of atoms,and significant surface effect.The reason is that the mechanical properties of nano-materials and nano-devices The properties of solid materials are obviously different from those of ordinary solid materials.At the nanometer,the elastic wave reacts with the obstacle such as elastic plugs or holes in the process of propagation,and its response effect is obviously different from that of the elastic wave and obstacle under macroscopic conditions.In this paper,based on the theory of surface / interface elasticity,the scattering of P waves by hollow core-shell nanoparticles in an infinite elastic matrix is studied by using wave function expansion method and Legendre polynomial.The wave expressions of hollow core-shell nanoparticles at different interfaces under P-wave incidence are derived.The effects of surface parameters and properties of core-shell materials on P-wave scattering at different incident frequencies are analyzed.The results show that at the nanometer,The effect of different core-shell properties on the dynamic stress concentration factor is significant.The results are helpful to the study of the excellent mechanical properties of core-shell nanoparticles.