| 用波函数展开法求解界面圆孔的SH波散射问题 |
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| 引用本文： | 何钟怡,樊洪明.用波函数展开法求解界面圆孔的SH波散射问题[J].地震工程与工程振动,2000,20(3):1-7. |
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| 作者姓名： | 何钟怡 樊洪明 |
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| 作者单位： | 哈尔滨建筑大学，黑龙江 哈尔滨 150090 |
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| 基金项目： | 国家自然科学基金!（59278332） |
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| 摘 要： | 研究了ＳＨ波绕界面圆孔散射的波函数展开理论。由入射，反射和透射波组成的自由波场与孔的散射场叠加成总波场。将定义于两个半平面的散射场按一定方式延拓到全平面。通过Ｈａｎｋｅｌ－Ｆｏｕｒｉｅｒ型积分来满足界面与孔缘处的边界条件，得到了确定特定系数的封闭代数方程组。给出了具体算例，计算了孔缘处的动应力系数分布。
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| 关 键 词： | 界面孔 SH波散射 波函数展开 波坡叠加 弱性波 |
| 文章编号： | 1000-1301(2000)03-0001-07 |
| 修稿时间： | 2000年3月6日 |
Application of wave functions expansion method to scattering problems of SH-wave by an interface circular cavity |
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| HE Zhong-yi,Fan Hong-ming.Application of wave functions expansion method to scattering problems of SH-wave by an interface circular cavity[J].Earthquake Engineering and Engineering Vibration,2000,20(3):1-7. |
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| Authors: | HE Zhong-yi Fan Hong-ming |
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| Abstract: | The theory of wave functions expansion applied to scattering problems of SH-wave by an interface circular cavity is investigated. The center of the cavity is located at the interface of two elastic media. The total wave field is obtained by superposition of free field and scattering fields. The free one is composed of incident, reflection and refraction waves. The key point is to extend the scattering fields from their half- plane domains into the full plane domains by the certain way. The boundary conditions on the interface and around the cavity are satisfied by the method of Hankel-Fourier integral. A closed set of algebraic equations containing the coefficients of Hankel - Fourier series is deduced. Some numerical results about distribution of coefficients of dynamic stress concentration around the cavity are given in this paper. |
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| Keywords: | interface circular cavity SH - wave scattering wave functions expansion wave fields superposition domain extension |
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