摘要
采用Green函数、复变函数和多极坐标等方法研究含圆柱形弹性夹杂的弹性半空间中任意位置、任意方位有限长度裂纹对SH波的散射与地震动.构造了含圆柱形弹性夹杂的半空间对SH波的散射波,并求解了适合本问题Green函数,即含有圆柱形弹性夹杂的半空间内(表面)任意一点承受时间谐和的出平面线源载荷作用时位移函数的基本解答.利用裂纹"切割"方法在任意位置构造任意方位的裂纹,可以得到基体中圆柱形弹性夹杂和裂纹同时存在条件下的位移场与应力场.通过数值算例,讨论各种参数对夹杂上方地表位移的影响.
Scattering of SH wave and ground motion in an elastic half space containing an elastic cylindrical inclusion and a crack located at any position and direction are studied using Green＇s function, complex function and multi-polar coordinate system. A suitable Green＇s function is firstly constructed to obtain the fundamental solution of the displacement field for a half space （surface） with an elastic cylindrical inclusion. In addition, an out-plane harmonic line-source-loading is at an arbitrary point in half space. Meanwhile, a crack located at any position and direction can be built in half space with crack-division technique. The displacement field and stress field are obtained with elastic cylindrical inclusion and crack, and the ground motion above the elastic cylindrical inclusion is also discussed.
出处
《力学学报》
EI
CSCD
北大核心
2009年第2期229-235,共7页
Chinese Journal of Theoretical and Applied Mechanics
基金
黑龙江省自然科学基金资助项目(A0206)~~
关键词
SH波散射
GREEN函数
多极坐标
夹杂和裂纹
地表位移
scattering of SH-waves, Green＇s function, multi-polar coordinate system, interaction of a inclusion and a crack, the ground motion
作者简介
E—mail：yangzailin00@163．com
