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

International Journal of Fracture

Volumn 84, Issue 2, 1997, Pages 191-202

  Qin, T Y ^a   Chen, W J ^b   Tang, R J ^c  

^a CHINA AGRICULTURAL UNIVERSITY   (China)

^b INSTITUTE OF MECHANICS   (China)

^c SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Boundary element method; Finite part integral; Hypersingular integral equation; Planar crack; Square root model; Three dimensional finite body

Indexed keywords

BOUNDARY ELEMENT METHOD; CRACK; EQUATION; STRESS INTENSITY FACTOR;

EID: 0031434651     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007397111351     Document Type: Article

References (13)

1. Cruse, T.A. and Vanburen, W. (1971). Three-dimensional elastic stress analysis of a fracture specimen with an edge crack. International Journal of Fracture 17, 1-15.
2. Ioakimidis, N.I. (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. Jia, Z.H., Shippy, D.J. and Rizzo, F.J. (1989). Three-dimensional crack analysis using singular boundary elements. International Journal for Numerical Methods in Engineering 28, 2257-2273.
4. Levan, A. and Peseux, B. (1988). Boundary element analysis of an integral equation for three-dimensional crack problems. International Journal for Numerical Methods in Engineering 26, 2383-2402.
5. Lin'kov, A.M. and Mogilevshaya, S.G. (1986). Finite-part integral in problems of three-dimensional cracks. Journal of Applied Mathematics and Mechanics (PPM) 50, 652-658.
6. Mayrhofer, K. and Fischer, F.D. (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. Nishioka, T. and Atluri, S.N. (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. Qin, T.Y. and Tang, R.J. (1993). Finite-part integral and boundary element method to solve embedded planar crack problems. International Journal of Fracture 60, 373-381.
9. Sohn, G.H. and Hong, C.S. (1985) Application of singular integral equations to embedded planar crack problems in finite body. Boundary Element, Vol.2 (Edited by A.C. Brebbia and G. Maier), Springer-Verlag, Berlin, 8-57, 8-67.
10. Sohn, G.H. and Hong, C.S. (1992). Determination of three-dimensional stress intensity factor using virtual crack extension technique based on singular integral equations. Engineering Fracture Mechanics 41, 177-190.
11. Takakuda, K., Koizumi, T. and Shibuya, T. (1985). On integral equation methods for the crack problems. Bulletin of the Japan Society of Precision Engineering 28, 217-224.
12. Tang, R.J. and Qin, T.Y. (1993). Method of hypersingular integral equations for three-dimensional. Acta Mechanica Sinica 25, 665-675.
13. Yamamoto, Y. and Sumi, Y. (1973). Stress intensity factors in a cracked axisymmetric body calculated by the finite element method. Journal Society Naval Architects of Japan 133, 179-187.