奇异积分方程在裂纹体弹性波散射问题中的应用  

ON THE APPLICATION OF SINGULAR INTEGRAL EQUATION TO THE SCATTERING PROBLEMS OF ELASTIC WAVES BY CRACKS

作　　者：汪越胜[1,2] 王铎[1,2] 马兴瑞 邹振祝[1,2] 

机构地区：[1]北方交通大学力学所 [2]哈尔滨工业大学航天学院

出　　处：《力学进展》1997年第1期39-55,共17页Advances in Mechanics

基　　金：国家自然科学基金;国家教委博士点专项基金

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．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.

关 键 词：裂纹 弹性波散射 断裂动力学 

分 类 号：O347.41[理学—固体力学]