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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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Key words:
- singular integral equation /
- crack /
- interface crack /
- elastic wave scattering /
- fracture dynamics
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