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.
出处
《力学进展》
EI
CSCD
北大核心
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
关键词
裂纹
弹性波散射
断裂动力学
singular integral equation
crack
interface crack
elastic wave scattering
fracture dynamics