Three-dimensional crack problem analysis using boundary element method with finite-part integrals

被引:0
作者
T.y. Qin
W.j. Chen
R.j. Tang
机构
[1] China Agricultural University,Department of Engineering Basic Sciences
[2] Chinese Academy of Sciences,Institute of Mechanics
[3] Shanghai Jiao Tong University,Department of Engineering Mechanics
来源
International Journal of Fracture | 1997年 / 84卷
关键词
planar crack; boundary element method; finite-part integral; hypersingular integral equation; three-dimensional finite body; square root model.;
D O I
暂无
中图分类号
学科分类号
摘要
A set of hypersingular integral equations of a three-dimensional finite elastic solid with an embedded planar crack subjected to arbitrary loads is derived. Then a new numerical method for these equations is proposed by using the boundary element method combined with the finite-part integral method. According to the analytical theory of the hypersingular integral equations of planar crack problems, the square root models of the displacement discontinuities in elements near the crack front are applied, and thus the stress intensity factors can be directly calculated from these. Finally, the stress intensity factor solutions to several typical planar crack problems in a finite body are evaluated.
引用
收藏
页码:191 / 202
页数:11
相关论文
共 25 条
[1]  
Cruse T.A.(1971)Three-dimensional elastic stress analysis of a fracture specimen with an edge crack International Journal of Fracture 17 1-15
[2]  
Vanburen W.(1982)Application of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity Acta Mechanica 45 31-47
[3]  
Ioakimidis N.I.(1989)Three-dimensional crack analysis using singular boundary elements International Journal for Numerical Methods in Engineering 28 2257-2273
[4]  
Jia Z.H.(1988)Boundary element analysis of an integral equation for three-dimensional crack problems International Journal for Numerical Methods in Engineering 26 2383-2402
[5]  
Shippy D.J.(1986)Finite-part integral in problems of three-dimensional cracks Journal of Applied Mathematics and Mechanics (PPM) 50 652-658
[6]  
Rizzo F.J.(1992)Derivation of a new analytical solution for a general two-dimensional finite-part integral applicable in fracture mechanics International Journal for Numerical Methods in Engineering 33 1027-1047
[7]  
Levan A.(1983)Analytical solution for embedded elliptical cracks, and finite element alternating method for elliptical surface cracks, subjected to arbitrary loadings Engineering Fracture Mechanics 171 247-268
[8]  
Peseux B.(1993)Finite-part integral and boundary element method to solve embedded planar crack problems International Journal of Fracture 60 373-381
[9]  
Lin'kov A.M.(1992)Determination of three-dimensional stress intensity factor using virtual crack extension technique based on singular integral equations Engineering Fracture Mechanics 41 177-190
[10]  
Mogilevshaya S.G.(1985)On integral equation methods for the crack problems Bulletin of the Japan Society of Precision Engineering 28 217-224