THE PROBLEM OF AN EXTERNAL CIRCULAR CRACK UNDER ASYMMETRIC LOADINGS
Using the boundary integral equation method, the problem of an external circular crack in a three-dimensional infinite elastic body under asymmetric loadings is investigated. The two- dimensional singular boundary integral equations of the problem were reduced to a system of Abel integral equations by means of Fourier series and hypergeometric functions. The exact solutions of stress intensity factors are obtained for the problem of an external circular crack under asymmetric loadings, which are even more universal than the results obtained by the use of Hankel transform method. The results demonstrate that the boundary integral equation method has great potential as a new analytic method.
作 者： 王银邦 作者单位： Department of Mechanics, Lanzhou University, Lanzhou 730000, P R China 刊 名： 应用数学和力学(英文版) EI SCI 英文刊名： APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 年，卷(期)： 2001 22(1) 分类号： O346.11 关键词： external circular crack asymmetric loadings boundary integral equations Abel equations stress intensity factors exact solutions