半空间内浅埋纳米移动夹杂对SH波散射的影响

Effect of Shallow Embedded Nano-Moving Inclusions in Semi-Space on SH-Wave Scattering

摘要: 随着纳米科学技术的不断进步，人们对材料性能的要求越来越高。在纳米尺度下，由于材料表面面积与体积之比明显增大，表面原子与内部原子产生巨大的势能差，从而导致表面效应显著，使得纳米材料与纳米元器件的力学性能明显不同于宏观尺度下的力学性能。本文基于经典弹性理论与表面弹性理论，应用复变函数方法、波函数展开方法和Graf加法公式研究弹性半空间内浅埋纳米可移动夹杂对SH波散射的影响。结果表明：在考虑表面效应之后，动应力集中因子不仅与入射波波数和质量体密度有关，而且与表面参数有关。

Abstract: With the continuous development of nanometer science and technology, the requirement of ma-terial properties become higher and higher. Due to the increase of the ratio of surface area to volume at nanometer scale, the potential energy difference between surface atom and inner atom of material becomes large. As a result, the surface effect is obvious and the mechanical properties of nano-materials and nano-components are obviously different from those of macro-materials. Based on the classical elastic theory and surface elastic theory, the complex function method, wave function expansion method and Graf addition formula were used to study the effect of shallow embedded nanometer movable inclusions on SH wave scattering in elastic half-space in this paper. The results reveal that the dynamic stress concentration factor is not only related to the incident wave number and mass bulk density, but also to the surface parameters.