| 奇异积分方程在裂纹体弹性波散射问题中的应用 |
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| 引用本文： | 汪越胜,王铎.奇异积分方程在裂纹体弹性波散射问题中的应用[J].力学进展,1997,27(1):39-55. |
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| 作者姓名： | 汪越胜 王铎 |
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| 作者单位： | [1]北京交通大学力学所 [2]哈尔滨工业大学航天学院 |
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| 基金项目： | 国家自然科学基金,国家教委博士点专项基金 |
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| 摘 要： | 结合２０多年来国内外的研究成果，评述奇异积分方程在裂纹体弹性波散射问题中的应用，特别是在界面裂纹散射问题中的应用．讨论如何将裂纹散射问题归结为奇异积分方程、如何用数值法求解这些方程等问题，并指出奇异积分方程法与其他积分方程法的关系．最后展望了奇异积分方程在裂纹体散射问题中可能的应用前景
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| 关 键 词： | 奇异积分方程 裂纹 界面裂纹 弹性波散射 断裂动力学 |
ON THE APPLICATION OF SINGULAR INTEGRAL EQUATION TO THE SCATTERING PROBLEMS OF ELASTIC WAVES BY CRACKS |
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| Wang Yuesheng Wang Duo MaXingrui Zou Zhenzhu Northern Jiaotong University,Beijing Harbin Institute of Technology,Harbin.ON THE APPLICATION OF SINGULAR INTEGRAL EQUATION TO THE SCATTERING PROBLEMS OF ELASTIC WAVES BY CRACKS[J].Advances in Mechanics,1997,27(1):39-55. |
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| Authors: | Wang Yuesheng Wang Duo MaXingrui Zou Zhenzhu Northern Jiaotong University Beijing Harbin Institute of Technology Harbin |
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| Institution: | Wang Yuesheng Wang Duo MaXingrui Zou Zhenzhu Northern Jiaotong University,Beijing 100044 Harbin Institute of Technology,Harbin 150001 |
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| Abstract: | This paper reviews the applications of singular integral equation (SIE) to the scattering problems of elastic waves by cracks, especially by interface cracks, which were made during past two decades. Several problems such as the reduction of the scattering problems to the SIE, the solution of the SIE and the relationship between the SIE method and other integral equation methods are discussed.Finally, possible applications of the SIE to the scattering problems of cracks are suggested. |
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| Keywords: | singular integral equation crack interface crack elastic wave scattering fracture dynamics |
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