| SH波作用下地表覆盖层对浅埋圆孔散射与动应力集中的影响 |
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| 引用本文： | 齐辉,折勇,陈冬妮. SH波作用下地表覆盖层对浅埋圆孔散射与动应力集中的影响[J]. 哈尔滨工程大学学报, 2009, 30(5). DOI: 10.3969/j.issn.1006-7043.2009.05.008 |
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| 作者姓名： | 齐辉 折勇 陈冬妮 |
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| 作者单位： | 哈尔滨工程大学航天与建筑工程学院,黑龙江,哈尔滨,150001;哈尔滨工程大学航天与建筑工程学院,黑龙江,哈尔滨,150001;哈尔滨工程大学航天与建筑工程学院,黑龙江,哈尔滨,150001 |
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| 摘 要： | 利用复变函数法和波函数展开法给出了具有地表覆盖层的弹性半空间内圆形孔洞在稳态SH波作用下动应力集中问题的解.根据SH波散射的衰减特性,该问题采用大圆弧假定法求解,利用半径很大的圆来拟合地表覆盖层的直边界,将具有地表覆盖层的半空间直边界问题转化为曲面边界问题.借助Helmholtz定理预先写出问题波函数的一般形式解,再利用边界条件并借助复数Fourier-Hankel级数展开把问题化为求解波函数中未知系数的无穷线性代数方程组,截断该无穷代数方程组可求得该问题的数值结果.最后,通过算例讨论了地表覆盖层对浅埋圆孔动应力集中的影响.结果表明,半空间地表覆盖层的存在,即使厚度很薄,对入射SH波的散射也具有很大影响,覆盖层刚度和厚度的变化可显著改变浅埋圆孔周边动应力集的分布.
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| 关 键 词： | 地表覆盖层 浅埋圆孔 SH波散射 波函数展开法 动应力集中 |
Scattering of SH-wave in a layered half-space with a subsurface circular cavity |
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| QI Hui,SHI Yong,CHEN Dong-ni. Scattering of SH-wave in a layered half-space with a subsurface circular cavity[J]. Journal of Harbin Engineering University, 2009, 30(5). DOI: 10.3969/j.issn.1006-7043.2009.05.008 |
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| Authors: | QI Hui SHI Yong CHEN Dong-ni |
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| Affiliation: | College of Aerospace and Civil Engineering;Harbin Engineering University;Harbin 150001;China |
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| Abstract: | The scattering of SH-waved by a subsurface circular cavity in a layered elastic half-space was investigated using the complex function method and the wave functions expansion method.According to the attenuation characteristics of SH-wave scattering,the problem can be solved by a hypothesized super large arc.The solution for scattering of SH-waves was given by a circular cavity embedded in a layered half-space with an almost straight circular boundary to approximate the straight boundary of the surface elast... |
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| Keywords: | surface elastic layer subsurface circular cavity scattering of SH-wave wave functions expansion method dynamic stress concentration |
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