| SH波作用下各向异性弹性半空间中浅埋圆孔附近的动应力集中研究 |
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| 引用本文： | 陈志刚.SH波作用下各向异性弹性半空间中浅埋圆孔附近的动应力集中研究[J].岩土力学,2012,33(3):899-905. |
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| 作者姓名： | 陈志刚 |
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| 作者单位： | 1. 暨南大学 力学与土木工程系，广州 510632； 2. 暨南大学 重大工程灾害与控制教育部重点实验室，广州 510632 |
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| 基金项目： | “重大工程灾害与控制”教育部重点实验室资助项目;“工程结构故障诊断”广东省高等学校科研型重点实验室资助项目 |
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| 摘 要： | 研究了稳态水平剪切（SH）波作用下含有圆柱形孔洞的各向异性弹性半空间的动力响应问题，探讨介质的各向异性对孔附近动应力的影响规律。运用复变函数和多极坐标方法在变换空间中构造出各向异性弹性半空间中圆孔的散射波函数，所构造的散射波函数能够自动满足半空间水平表面上应力自由的边界条件和无穷远处的Sommerfeld辐射条件。根据圆孔表面应力自由的边界条件，采用最小二乘法求解所构造的散射波函数的系数。分析了SH波以不同角度自弹性半空间内入射时，不同介质特性、入射波数和埋深对圆孔附近动应力集中系数的影响。数值结果表明，各向异性弹性半空间中孔附近的动应力比各向同性情况有明显增高。
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| 关 键 词： | 各向异性 SH波散射 浅埋圆孔 动应力集中系数 动力响应 |
| 收稿时间： | 2010-10-18 |
Dynamic stress concentration around shallow cylindrical cavity by SH wave in anisotropically elastic half-space |
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| CHEN Zhi-gang.Dynamic stress concentration around shallow cylindrical cavity by SH wave in anisotropically elastic half-space[J].Rock and Soil Mechanics,2012,33(3):899-905. |
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| Authors: | CHEN Zhi-gang |
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| Institution: | 1. Department of Mechanics and Civil Engineering, Jinan University, Guangzhou 510632, China； 2. Key Laboratory of Disaster Forecast and Control in Engineering, Ministry of Education, Jinan University, Guangzhou 510632, China |
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| Abstract: | The problem of dynamic stress concentration around a shallow cylindrical cavity incident by steady-state shear horizontal SH wave in an anisotropically elastic half-space ware solved;and the rules that anisotropy of the medium influenced dynamic stress concentration around the cavity were investigated.By using the function of complex variable and multi-polar coordinate system,we constructed scattering wave function of the cylindrical cavity,which automatically satisfied the zero-stress boundary condition on the horizontal surface in elastic half-space and the Sommerfeld radiation condition at infinity.According to zero-stress boundary condition of the cylindrical cavity,we solved coefficients of the scattering wave function by least square method.Finally,the effects of different media characteristics,wave numbers,and embedded depth on dynamic stress concentration factors around the cylindrical cavity were analyzed,when SH wave incident with different angles.Numerical results show that: the dynamic stress concentration factor around cylindrical cavity increases obviously in anisotropically elastic half-space in contrast with isotropic one. |
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| Keywords: | anisotropy SH wave scattering shallow cylindrical cavity dynamic stress concentration factor dynamic response |
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