Direct determination of SIF and higher order terms of mixed mode cracks by a hybrid crack element

International Journal of Fracture

Volumn 125, Issue 3-4, 2004, Pages 207-225

  Xiao, Q Z ^a   Karihaloo, B L ^a   Liu, X Y ^a  

^a CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

Crack tip asymptotic field; Hybrid crack element (HCE); Mixed mode crack; Stress intensity factor (SIF); T stress

Indexed keywords

BOUNDARY VALUE PROBLEMS; CRACKS; PROBLEM SOLVING; STRESS ANALYSIS;

HYBRID CRACK ELEMENTS (HCE); STRESS INTENSITY FACTOR (SIF); VERSATILITY;

FRACTURE MECHANICS;

FRACTURE MECHANICS;

EID: 2042524371     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:frac.0000022229.54422.13     Document Type: Article

References (21)

1. Belytschko, T. and Black, T. (1999). Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering 45, 601-620.
2. Cardew, G.E., Goldthorpe, M.R., Howard, I.C. and Kfouri, A.P. (1984). On the elastic T-term. Fundamentals of Deformation and Fracture (Edited by B.A. Bilby, K.J. Miller and J.R. Willis), Cambridge University Press, Cambridge, 465-476.
3. Erdogan, F., Sih, G. (1963). On the crack extension in plates under plane loading and transverse shear. Journal of Basic Engineering 85, 519-s527.
4. Fett, T. (2002). T-stress Solutions and Stress Intensity Factors for I-D Cracks. VDI Verlag, Düsseldorf.
5. Karihaloo, B.L. (1982). Crack kinking and curving. Mechanics of Materials 1, 189-201.
6. Karihaloo, B.L. and Xiao, Q.Z. (2000). Hybrid stress elements for accurate solution of elasticity problems with traction-free segments. Computational Mechanics for the Twenty-First Century (Edited by B.H.V. Topping), Saxe-Coburg Publications, Edinburgh, 109-125.
7. Karihaloo, B.L. and Xiao, Q.Z. (2001a). Accurate determination of the coefficients of elastic crack tip asymptotic field by a hybrid crack element with p-adaptivity. Engineering Fracture Mechanics 68, 1609-1630.
8. Karihaloo, B.L. and Xiao, Q.Z. (2001b). Higher order terms of the crack tip asymptotic field for a notched three-point bend beam. International Journal of Fracture 112, 111-128.
9. Karihaloo, B.L. and Xiao, Q.Z. (2001c). Higher order terms of the crack tip asymptotic field for a wedge-splitting specimen. International Journal of Fracture 112, 129-137.
10. Kfouri, A.P. (1986). Some evaluations of the elastic T-term using Eshelby's method. International Journal of Fracture 30, 301-315.
11. Leevers, P.S. and Radon, J.C. (1982). Inherent stress biaxiality in various fracture specimen geometries. International Journal of Fracture 19, 311-325.
12. Owen, D.R.J. and Fawkes, A.J. (1983). Engineering Fracture Mechanics: Numerical Methods and Applications. Pineridge Press Ltd.: Swansea, UK.
13. Pian, T.H.H. and Sumihara, K. (1984). Rational approach for assumed stress finite elements. International Journal for Numerical Methods in Engineering 20, 1685-1695.
14. Pian, T.H.H. and Wu, C.C. (1988). A rational approach for choosing stress term of hybrid finite element formulations. International Journal for Numerical Methods in Engineering 26, 2331-2343.
15. Sherry, A.H., France, C.C. and Goldthorpe, M.R. (1995). Compendium of T-stress solutions for two and three dimensional cracked geometries. Fatigue and Fracture of Engineering Materials and Structures 18, 141-155.
16. Tada, H., Paris, P.C. and Irwin, G.R. (1985). The Stress Analysis of Cracks Handbook. 2nd ed., Paris Productions, St. Louis, Missouri.
17. Tong, P., Pian, T.H.H. and Lasry, S.J. (1973). A hybrid element approach to crack problems in plane elasticity. International Journal for Numerical Methods in Engineering 7, 297-308.
18. Williams, M.L. (1957). On the stress distribution at the base of a stationary crack. Journal of Applied Mechanics 24, 109-114.
19. Wilson, W.K. (1969). Combined Mode Fracture Mechanics, Ph.D thesis. University of Pittsburgh.
20. Xiao, Q.Z. and Karihaloo, B.L. (2002). Coefficients of the crack tip asymptotic field for a standard compact tension specimen. International Journal of Fracture 118, 1-15.
21. Xiao, Q.Z., Karihaloo, B.L. and Williams, F.W. (1999). Application of penalty-equilibrium hybrid stress element method to crack problems. Engineering Fracture Mechanics 63, 1-22.