Scattering Of P/SV Waves By Eccentric Cylindrical Core-shell Structures At Nanometer Scale

The development and innovation of nanotechnology has far-reaching implications in various fields,such as nanoelectronics and computer technology,aerospace,environment and energy,biology and agriculture,national defense and national security,etc.Through research and preparation,it has been found that the nanostructure of the composite system has better properties than the single nano-particle,which has led to a lot of research on core-shell nanocomposite materials and components,such as the applications in catalysts,medicine and drug carriers,photonic crystals and other aspects.As the size of the structure decreases,the proportion of atoms on the outermost surface of the material increases sharply,resulting in a rapid increase in the specific surface area.resulting in a significant surface effect,which makes the mechanical properties significantly different from those of macroscopic conditions.Based on the theory of surface elasticity,the scattering of P/SV waves by eccentric cylindrical core-shell structures at nanometer scale is studied,the stress and displacement fields in the medium are calculated,especially the dynamic stress concentration factors around the interface are calculated.This paper mainly studies from the following aspects:(1)Using the wave function expansion method,the orthogonality of the trigonometric function and Graf addition formula,the scattering of P-wave by eccentric cylindrical core-shell structure at the nanometer scale is studied.(2)The scattering of SV waves by eccentric cylindrical core-shell structures at nanometer scale is studied by using wave function expansion method,orthogonality of the trigonometric function and Graf addition formula.The results show that under the nanometer size,the surface parameters,eccentricity and shear modulus ratio(soft and hard inclusions)at different frequencies have significant effects on the dynamic stress concentration factor.