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弹性波绕任意形状界面孔的散射
引用本文:刘有军,何钟怡,樊洪明.弹性波绕任意形状界面孔的散射[J].固体力学学报,2005,26(1):92-96.
作者姓名:刘有军  何钟怡  樊洪明
作者单位:1. 北京工业大学生命科学与生物工程学院,北京,100022
2. 哈尔滨工业大学建筑工程学院,哈尔滨,150090
3. 清华大学建筑技术科学系,北京,100084
摘    要:求解了弹性波绕任意形状界面孔的散射问题.通过入射波、反射波或折射波及孔的散射波场的叠加,得到了界面孔在SH波绕射下的总波场.总波场波函数的级数项待定系数可采用边界配点法来确定,该法不受边界正交性的限制,能够适用于任意形状的边界.最后,对界面椭圆孔进行了实例计算,得到了椭圆孔边的动应力集中系数.

关 键 词:波函数  弹性波  级数  动应力集中  散射  配点法  正交性  SH波  界面  反射波
修稿时间:2003年7月29日

SCATTERING OF ELASTIC WAVE BY ARBITRARY INTERFACE CAVITY
Liu Youjun,He Zhongyi,Fan Hongming.SCATTERING OF ELASTIC WAVE BY ARBITRARY INTERFACE CAVITY[J].Acta Mechnica Solida Sinica,2005,26(1):92-96.
Authors:Liu Youjun  He Zhongyi  Fan Hongming
Institution:Liu Youjun 1 He Zhongyi 2 Fan Hongming 3
Abstract:SH wave scattering and dynamic concentration by an arbitrary cavity located at the interface between two different elastic mediums are investigated. The total wave field can be obtained by superposition of the incident, reflection or refraction wave and the scattering wave. Based on the formula solution of wave function, the boundary collocation method is adopted to determine the series coefficients of the wave function. The boundary collocation method is not restricted to the orthogonal boundary, so it can be applied to the problem of scattering of elastic wave by arbitrary interface cavity. Finally, the scattering of SH wave by an interface ellipse is taken as an example to demonstrate the validity of the method, and dynamic stress concentration at the ellipse edge is obtained.
Keywords:boundary collocation method  elastic wave  scattering  dynamic stress concentration
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