表面效应对SV波诱发的纳米孔洞周围弹性波散射的影响  

Influence of surface effect on scattering of elastic wave at nano-holes induced by SV-wave

作　　者：汝艳[1] 

机构地区：[1]西安理工大学土木建筑工程学院,陕西西安710048

出　　处：《兰州理工大学学报》2015年第4期163-167,共5页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11302166)

摘　　要：基于表面弹性理论和经典弹性理论,用位移势函数法、波函数展开法和弹性波的多重散射理论,研究随机排列的多个纳米孔洞周围的弹性波散射和动应力集中问题,求得无限大空间中在一组纳米圆柱孔洞附近由平面剪切波(SV波)诱发的应力场.分析当任意两个相邻孔洞之间的距离都相等时,表面效应对孔洞周围动应力集中的影响.结果表明,纳米圆柱孔洞周围的动应力集中不仅和表面效应有关,而且和孔洞之间的距离有关.Based on surface elasticity theory and classic elasticity theory and employing displacement potential function method, wave function developing method, and multiple scattering theory of elastic wave, multiple scattering of elastic wave at a set of randomly arranged nano-holes and dynamic stress concentration thereby are investigated, and the stress field at the set of cylindric nano-holes induced by planar shearing wave （SV wave） in infinite space is found. When the distance between arbitrary two adjacent holes is identical, the influence of surface effect on the dynamic stress concentration at the hole is analyzed. The resuits show that the dynamic stress concentration will depend not only on the surface effect but also on the interval of the holes.

关 键 词：表面效应 弹性波散射 多重散射 动应力集中因子 

分 类 号：O343[理学—固体力学]