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- 2017
半空间垂直界面附近半圆形衬砌凸起和孔洞对SH波的散射
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Abstract:
利用Green函数法、“镜像法”与多级坐标法, 对半空间中半圆形衬砌凸起和圆孔对SH波的散射进行分析, 得到其稳态响应．利用镜像法得到了满足水平边界应力自由、竖直边界位移与应力连续的波函数解析表达式．根据竖直边界连续性条件, 利用“契合法”建立起求解问题的第一类Fredholm型积分方程, 得到了圆形衬砌与圆孔周边的动应力集中系数的解析表达式．数值算例分析了入射波数、介质物理参数、圆孔大小与深度、圆形衬砌厚度比等对动应力集中系数的影响, 并与已有文献进行了比较．
The scattering of SH-wave by a semi-circular lining hill and a circular cavity in half space is analyzed by the Green function method，image method and multi-level coordinate method to obtain steady state response. The analytical expression of wave function，which satisfies the stress free on the horizontal boundaries，displacement and stress continuity on the vertical boundaries，is obtained by the image method. According to the continuity condition on the vertical boundary，the first kind of Fredholm integral equation is set up to obtain the analytical expression of dynamic stress concentration factor(DSCF) around the edge of circular cavity and circular lining by the conjunction method. The influence of incident wave number，the physical parameters of medium，the size and ground depth of circular cavity and the thickness ratio of circular lining on DSCF is analyzed and compared with existing literature
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