A post-processor for fatigue crack growth analysis based on a finite element stress field

Computer Methods in Applied Mechanics and Engineering

Volumn 197, Issue 6-8, 2008, Pages 834-845

  Wormsen, A ^a   Fjeldstad, A ^a   Harkegard G ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Defect size distribution; Fatigue crack growth; Finite element analysis; Probability of component fatigue failure; Weight function

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; PROBABILITY; STRESSES;

COMPONENT FATIGUE FAILURE; DEFECT SIZE DISTRIBUTION; WEIGHT FUNCTION;

FATIGUE CRACK PROPAGATION;

ALGORITHMS; COMPUTER SIMULATION; FATIGUE CRACK PROPAGATION; FINITE ELEMENT METHOD; PROBABILITY; STRESSES;

EID: 36048964599     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.09.012     Document Type: Article

References (39)

1. Trädegård A., Nilsson F., and Östlund S. FEM-remeshing technique applied to crack growth problems. Comput. Methods Appl. Mech. Engrg. 160 1-2 (1998) 115-131
2. Bouchard P.O., Bay F., Chastel Y., and Tovena I. Crack propagation modelling using an advanced remeshing technique. Comput. Methods Appl. Mech. Engrg. 189 3 (2000) 723-742
3. Bouchard P.O., Bay F., and Chastel Y. Numerical modelling of crack propagation: automatic remeshing and comparison of different criteria. Comput. Methods Appl. Mech. Engrg. 192 35-36 (2003) 3887-3908
4. Cornell Fracture Group. FRANC3D 2.6. Concepts and user guide. Cornell University, Ithaca, New York, 2003.
5. BEASY User Guide, Computational Mechanics BEASY Ltd., 2001, (Ashurst Lodge, Ashurst, Southampton, Hampshire, SO40 7AA, UK).
6. Schöllmann M., Fulland M., and Richard H.A. Development of a new software for adaptive crack growth simulations in 3D structures. Engrg. Fract. Mech. 70 2 (2003) 249-263
7. Fulland M., and Richard H.A. Application of the FE-method to the simulation of fatigue crack growth in real structures. Steel Res. 74 9 (2003) 584-590
8. NASA: Fatigue Crack Growth Computer Program 'NASGRO', version 3.0, 2000, (Reference Manual, JSC-22267B, Engineering Directorate, National Aeronautics and Space Administration, Lyndon B. Johnson Space Center, Houston).
9. AFGROW Users Guide And Technical Manual. Air Vehicles Directorate, Air Force Laboratory, Wright-Patterson Air Force Base, Ohio.
10. Bueckner H.F. A novel principle for the computation of stress intensity factors. Z. Angewandte Math. Mech. (1970) 529-546
11. Rice J.R. Some remarks on elastic crack-tip stress fields. Int. J. Solids Struct. 8 6 (1972) 751-758
12. A. Wormsen, B. Sjödin, G. Härkegård, A. Fjeldstad, Non-local stress approach for fatigue assessment based on weakest-link theory and statistics of extremes, Fatigue Fract. Engrg. Mater. Struct., accepted for publication.
13. Wormsen A., Härkegård G., and Huth H.J. Probabilistic fatigue assessment of a hydro-turbine blade model. In: Johnson W.S., et al. (Ed). Proceedings of the International Fatigue Congress 2006 (2006), Elsevier, Atlanta, Georgia, USA May
14. Wormsen A., and Härkegård G. Weibull fatigue analysis of notched components under constant and variable amplitude loading. In: Johnson W.S., et al. (Ed). Proceedings of the International Fatigue Congress 2006 (2006), Elsevier, Atlanta, Georgia, USA May
15. Cook R.D., Malkus D.S., Plesha M.E., and Witt R.J. Concepts and Applications of Finite Element Analysis. fourth ed. (2002), John Wiley and Sons Inc.
16. Miller K.J. The behaviour of short fatigue cracks and their initiation. Part 1 - A review of two recent books. Fatigue Engrg. Mater. 10 2 (1987) 75-91
17. Miller K.J. The behaviour of short fatigue cracks and their initiation. Part 2 - A general summary. Fatigue Engrg. Mater. 10 2 (1987) 93-113
18. Haddad M.H.E., Smith K.N., and Topper T.H. Fatigue crack propagation of short cracks. J. Engrg. Mater. Technol. 101 1 (1979) 42-46
19. Klesnil M., and Lukáš P. Influence of strength and stress history on growth and stabilisation of fatigue cracks. Engrg. Fract. Mech. 4 1 (1972) 77-92
20. Fjeldstad A., Wormsen A., and Härkegård G. Simulation of fatigue crack growth in components with random defects. Engrg. Fract. Mech. (2007) 10.1016/j.engfracmech.2007.04.006
21. K. Walker, The effect of stress ratio during crack propagation and fatigue for 2024-T3 and 7075-T6 aluminum, in: Effects of Environment and Complex Load History on Fatigue Life, ASTM STP 462, Philadelphia, 1970, pp. 1-14.
22. T. Mann, Fatigue assessment methods for welded structures and their application to an aluminium T-joint. PhD thesis, Norwegian University of Science and Technology, Trondheim, Norway, 2006.
23. Wang X., Lambert S.B., and Glinka G. Weight functions for embedded elliptical cracks. Engrg. Fract. Mech. 59 3 (1998) 381-392
24. Fett T., and Mattheck. Stress intensity factors of embedded elliptical cracks for weight function applications. Int. J. Fract. 40 1 (1989) R13-R18
25. Green A.E., and Sneddon I.N. The Distribution of Stress in the Neighborhood of a Flat Elliptical Crack in an Elastic Body (1950), Cambridge Philosophical Society
26. Shah R.C., and Kobayashi A.S. Stress intensity factor for an elliptical crack under arbitrary normal loading. Engrg. Fract. Mech. 3 1 (1971) 71-93
27. Noguchi H., Smith R.A., Carruthers J.J., and Gilchrist M.D. Stress intensity factors of embedded elliptical cracks and an assessment of the ASME XI defect recharacterisation criteria. Int. J. Pressure Vessels Piping 70 1 (1997) 69-76
28. Dai D.N., Nowell D., and Hills D.A. Eigenstrain methods in 3-D crack problems; an alternative integration procedure. J. Mech. Phys. Solids Struct. 41 6 (1993) 1003-1017
29. Shen G., and Glinka G. Weight functions for a semi-elliptical crack in a finite thickness plate. Theor. Appl. Fract. Mech. 15 3 (1991) 247-255
30. L. Nilsson, Stress intensity factors for semi-elliptical surface cracks in plates subjected to a complex stress field. SAQ/FoU-Report 98/10, SAQ KONTROLL AB, Stockholm, Sweden, 1998.
31. Coles S. An Introduction to Statistical Modeling of Extreme Values. third ed. (2001), Springer Series in Statistics, London
32. Atkinson H.V., and Shi G. Characterization of inclusions in clean steels: a review including the statistics of extreme methods. Progr. Mater. Sci. 48 (2003) 457-520
33. Anderson C.W., and Coles S.G. The largest inclusions in a piece of steel. Extremes 5 (2002) 237-252
34. Anderson C.W., de Maré J., and Rootzén H. Methods for estimating the sizes of large inclusions in clean steels. Acta Mater. 53 8 (2005) 2295-2304
35. Shi G., Atkinson H.V., Sellars C.M., and Anderson C.W. Application of the generalized Pareto distribution to the estimation of the size of the maximum inclusion in clean steels. Acta Mater. 47 5 (1999) 1455-1468
36. Shi G., Atkinson H.V., Sellars C.M., and Anderson C.W. Comparison of extreme value statistics methods for predicting maximum inclusion size in clean steel. Ironmaking Steelmaking 26 4 (1999) 239-246
37. H. Kitagawa, S. Takahashi, Applicability of fracture mechanics to very small cracks or the cracks in the early stage, in: Proceedings of the Second International Conference on the Mechanical Behavior of Materials, Boston, MA, 1976, pp. 627-631.
38. Tanaka K., Nakai Y., and Yamashita M. Fatigue growth threshold of small cracks. Int. J. Fract. 17 5 (1981) 519-533
39. Hertzberg R.W. Deformation and Fracture Mechanics of Engineering Materials. fourth ed. (1996), John Wiley & Sons, Inc.