| 各向异性体内含任意孔洞对反平面波散射的边界元方法 |
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| 引用本文： | 钟伟芳 钱维平. 各向异性体内含任意孔洞对反平面波散射的边界元方法[J]. 固体力学学报, 1990, 11(4): 285-297 |
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| 作者姓名： | 钟伟芳 钱维平 |
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| 作者单位： | 华中理工大学，洛阳船舶材料研究所 |
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| 摘 要： | 本文借助于广义格林公式导出了用位移表示的各向异性介质中SH波入射时的边界积分方程.根据本文作者在文献[8]给出的基本解,求解了各向异性介质中孔洞对SH波的散射问题.边界积分方程的离散基于常数元模式.文中给出了一个圆柱、一个椭圆柱和两个椭圆柱形式的孔洞周围的位移场和应力场的数值结果.最后,对入射波频率较高时的情形作了说明.
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| 关 键 词： | 各向异性 介质 孔洞 反平面波 散射 |
A BOUNDARY ELEMENT METHOD FOR CALCULATION THE SHWAVES SCATTERING FROM ARBITRILY SHAPED HOLES IN AN ANISOTROPIC MEDIUN |
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| Zhong Wei fang Huazhong University of Science and TechnologyQian Wei ping Luoyang Ship Material Research Institute. A BOUNDARY ELEMENT METHOD FOR CALCULATION THE SHWAVES SCATTERING FROM ARBITRILY SHAPED HOLES IN AN ANISOTROPIC MEDIUN[J]. Acta Mechnica Solida Sinica, 1990, 11(4): 285-297 |
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| Authors: | Zhong Wei fang Huazhong University of Science and TechnologyQian Wei ping Luoyang Ship Material Research Institute |
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| Affiliation: | Zhong Wei fang Huazhong University of Science and TechnologyQian Wei ping Luoyang Ship Material Research Institute |
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| Abstract: | The scattering problem of elastic wave by arbitrarily shaped cavities in an infinite anisotropic medium is investigated by the boundary intcgral equation (BIE) method. The formulations of BIE are derived with the help of generalized Green's formuls. The discretization of BIE is based upon constant elements. After confirmation of the accuracy of the present method, some numerical examples are given for various cavities in a full space, in which an isotropic body with a circular cylinder hole is used for comparison and good agreement is observed. It has been proved that the method developed in this paper is effective. |
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| Keywords: | Scattering problem of elastic wave anisotropic medium boundary integral equation generalized Green's formula |
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