Numerical assessment of T-stress computation using a p-version finite element method

International Journal of Fracture

Volumn 107, Issue 2, 2001, Pages 177-199

  Chen, Chuin Shan ^a   Krause, Roland ^a   Pettit, Richard G ^a   Banks Sills, Leslie ^b,c   Ingraffea, Anthony R ^a  

^a Department of Obstetrics Gynecology   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

^c Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRACK TIP; PATH INDEPENDENT INTEGRAL;

ERROR ANALYSIS; FINITE ELEMENT METHOD; FRACTURE MECHANICS; INTEGRAL EQUATIONS; INTEGRATION; STRESS INTENSITY FACTORS;

STRESS ANALYSIS;

EID: 0035131477     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007689311129     Document Type: Article

References (32)

1. Babuška, I. and Szabó, B.A. (1982). On the rates of convergence of the finite element method. International Journal for Numerical Methods in Engineering 18, 323-341.
2. Banks-Sills, L. (1991). Application of the finite element method to linear elastic fracture mechanics, Applied Mechanics Reviews 44, 447-461.
3. Banks-Sills, L. (1997). A conservative integral for determining stress intensity factors of a bimaterial strip. International Journal of Fracture 86, 385-398.
4. Cardew, G.E., Goldthorpe, M.R., Howard, I.C. and Kfouri, A.P. (1985). On the elastic T-term. Fundamentals of deformation and fracture: Eshelby Memorial Symposium.
5. Carpenter, W.C. (1984). Calculation of fracture mechanics parameters for a general corner. International Journal of Fracture 24, 45-58.
6. Cotterell, B. and Rice, J.R. (1980). Slightly curved or kinked cracks. International Journal of Fracture 16, 155-169.
7. Du, Z,-Z. and Hancock, J.W. (1991). The effect of non-singular stresses on crack-tip constraint. Journal of the Mechanics and Physics of Solids 39: 555-567.
8. Eshelby, J.D. (1951). The force on elastic singularity. Phil. Trans. Royal Society A244, 87-112.
9. Fett, T. (1998). A compendium of T-stress solutions. Technical Report FZKA 6057, Institut für Materialforschung.
10. Finnie, I. and Saith, A. (1973). A note on the angled crack problem and the directional stability of cracks. International Journal of Fracture 9, 484-486.
11. Irwin, G.R. (1957). Analysis of stresses and strains near the end of a crack traversing a plate. Journal of Applied Mechanics 24, 361-364.
12. Isida, M. (1971). Effect of width and length on stress intensity factors of internally cracked plates under various boundary conditions. International Journal of Fracture 7, 301-316.
13. Kfouri, A.P. (1986). Some evaluations of the elastic T-term using Eshelby's method. International Journal of Fracture 30, 301-315.
14. Krause, R. (1996). Multiscale Computations With a Combined H- and P-version of the Finite Element Method. Ph.D. Thesis. Universität Dortmund.
15. Larsson, S.G. and Carlson, A.J. (1973). Influence of non-singular stress terms and specimen geometry and small-scale yielding at crack tips in elastic-plastic materials. Journal of the Mechanics and Physics of Solids 21, 263-277.
16. Leevers, P.S. and Radon. J.C. (1982). Inherent stress biaxiality in various fracture specimen. International Journal of Fracture 19, 311-325.
17. Li, F.Z., Shih, C.F. and Needleman, A. (1985). A comparison of method for calculating energy release rates. Engineering Fracture Mechanics 21, 405-421.
18. MacLennan, I.J. and Hancock, J.W. (1995). Constraint-based failure assessment diagrams. Proceedings of the Royal Society of London A451, 757-777.
19. Marsden, J.E. and Hughes, T.J.R. (1983). Mathematical Foundations of Elasticity. Prentice-hall, Inc., Englewood Cliffs, N.J.
20. O'Dowd, N.P., Shih, C.F. and Dodds. R.H., Jr. (1995). The role of geometry and crack growth on constraint and implications for ductile/brittle fracture. Constraint Effects in Fracture Theory and Applications, second volume, ASTM STP 1244, 134-159.
21. Pettil, R.G., Newman, J.C. and Domack, M.S. (1997). Crack turning damage tolerance approach for integrally stiffened structure. 19th ICAF Symposium, Edinburgh Scotland.
22. Rahulkumar, P., Saigal, S, and Yunus, S. (1997). Singular p-version finite elements for stress intensity factor computations, International Journal for Numerical Methods in Engineering 40, 1091-1114.
23. Rank, E., Krause, R. and Preusch, K. (1998). On the accuracy of p-version elements for the Reissner-Mindlin plate problem. International Journal for Numerical Methods in Engineering 43, 51-67.
24. Rice, J.R. (1968). A path independent integral and the approximate analysis of strain concentration by notches and cracks. Journal of Applied Mechanics 35, 379-386.
25. Sham, T.-L. (1991). The determination of the elastic T-term using higher order weight functions, International Journal of Fracture 48, 81-102.
26. Sinclair, G.B., Okajima, M. and Griffin, J.H. (1984). Path independent integrals for computing stress intensity factors at sharp notches in elastic plates. International Journal for Numerical Methods in Engineering 20, 999-1008.
27. Sladek, J., Sladek, V. and Fedelinski, P. (1997). Contour integrals for mixed-mode crack analysis: effect of nonsingular terms. Theoretical and Applied Fracture Mechanics 27, 115-127.
28. Stern, M., Beckcr, E.B. and Dunham, R.S. (1976). A contour integral computation of mixed mode stress intensity factors. International Journal of Fracture 12, 359-368.
29. Szabó B.A. and Babuška, I. (1991). Finite Element Analysis. John Wiley & Sons, Inc., New York.
30. Szabó B.A. (1986). Mesh design for the p-version of the finite element method. Computer Methods in Applied Mechanics and Engineering 55, 181-197.
31. Williams, M.L. (1957). On the stress distribution at the base of a stationary crack. Journal of Applied Mechanics 24, 109-114.
32. Yuan, F.G. and Yang, S. (1998). The application of fracture mechanics to stitched warp-knit fabric composites. 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Long Beach, CA.