Eigenfunction expansion for penny-shaped and circumferential cracks

International Journal of Fracture

Volumn 89, Issue 3, 1998, Pages 205-222

  Leung, A Y T ^a   Su, R K L ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Circumferential crack; Eigenfunction expansion; Penny shaped crack

Indexed keywords

CRACKS; EIGENVALUES AND EIGENFUNCTIONS; FATIGUE OF MATERIALS; STRESS ANALYSIS;

CIRCUMFERENTIAL CRACKS; EIGENFUNCTION EXPANSION;

FRACTURE MECHANICS;

EID: 0032312821     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007484809384     Document Type: Article

References (11)

1. Hartranft, R.J. and Sih, G.C. (1969). The use of eigenfunction expansions in general solution of three-dimensional crack problems. Journal of Mathematics and Mechanics 19(2), 123-138.
2. Leung, A.Y.T. and Su, R.K.L. (1994). Mode I crack problems by fractal two-level finite element methods. Engineering Fracture Mechanics 48(6), 847-856.
3. Leung, A.Y.T. and Su, R.K.L. (1995a). Body-force linear elastic stress intensity factor calculation using fractal two-level finite element method. Engineering Fracture Mechanics 51(6), 879-888.
4. Leung, A.Y.T. and Su, R.K.L. (1995b). Mixed mode two-dimensional crack problems by fractal two-level finite element method. Engineering Fracture Mechanics 51(6), 889-895.
5. Leung, A.Y.T. and Su, R.K.L. (1998). Two-level finite element study of axisymmetric cracks. International Journal of Fracture (To appear).
6. Leung, A.Y.T. and Wong, S.C. (1989). Two-level finite element method for plane cracks. Communications in Applied Numerical Methods 5, 263-274.
7. Li, Y. (1988). Crack tip stress and strain fields for surface cracks in 3D body and the calculation of stress intensity factors. Chinese Science A 8, 828-842 (in Chinese Language).
8. Murthy, M.V.V., Raju, K.N. and Viswanath, S. (1981). On the bending stress distribution at the tip of a stationary crack from Reissner's theory. International Journal of Fracture 17(1), 537-552.
9. Sosa, H.A. (1986). On the Analysis of Bars, Beams and Plates with Defects. Ph.D. Thesis, Stanford University.
10. Williams, M.L. (1957). On the stress distribution at the base of a stationary crack. ASME Journal of Applied Mechanics 24 109-114.
11. Williams, M.L. (1961). The bending stress distribution at the base of a stationary crack. ASME Journal of Applied Mechanics 28, 78-82.