Computational simulation and experimental findings of three-dimensional fatigue crack growth in a single-edge notched specimen under torsion loading

Fatigue and Fracture of Engineering Materials and Structures

Volumn 28, Issue 1-2, 2005, Pages 127-134

  Buchholz, F G ^a   Just, V ^a   Richard, H A ^a  

^a UNIVERSITY OF PADERBORN   (Germany)

Author keywords

3D fatigue crack growth; Computational simulation; Experimental findings; SEN specimen; Torsion loading

Indexed keywords

COMPUTER SIMULATION; CRACK PROPAGATION; FINITE ELEMENT METHOD; FRACTURE; MATHEMATICAL MODELS; TORSIONAL STRESS;

COMPUTATIONAL SIMULATION; FRACTURE CRITERION; SINGLE EDGE NOTCHED (SEN) SPECIMEN;

FATIGUE OF MATERIALS;

EID: 12844278156     PISSN: 8756758X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1460-2695.2005.00864.x     Document Type: Article

References (41)

1. Erdogan, F. and Sih, G. C. (1963) On the crack extension in plates under plane loading and transverse shear. J. Basic Engng 85, 519-527.
2. Williams, J. G. and Ewing, P. D. (1972) Fracture under complex stress The angle crack problem. Int. J. Fract. 8, 441-446.
3. Sih, G. C. (1974) Strain energy density applied to mixed mode crack problems. Int. J. Fract. 10, 305-321.
4. Hussain, M. A., Pu, S. I. and Underwood, J. H. (1974) Strain energy release rate for a crack under combined mode I and mode II. In: Fracture Analysis. ASTM STP. Vol. 560. American Society for Testing and Materials, Philadelphia, pp. 2-28.
5. Nuismer, R. J. (1975) An energy release rate criterion for mixed mode fracture. Int. J. Fract. 11, 245-250.
6. Wu, C. H. (1978) Fracture under combined loads by maximum-energy-release-rate criterion ASME. J. Appl. Mech. 45 553-558.
7. Palaniswamy, K. and Knauss, W. G. (1978) On the problem of crack extension in brittle solids under general loading. In: Mechanics Today (Edited by Nemat-Nasser, S.). Vol. 4, Pergamon press, New York, pp. 87-148.
8. Cotterell, B. and Rice, J. R. (1980) Slightly curved or kinked cracks. Int. J. Fract. 16, 155-169.
9. Sumi, Y., Nemat-Nasser, S. and Keer, L. M. (1983) On crack branching and curving in a finite body. Int. J. Fract. 21, 67-79 (Erratum in Int. J. Fract. 24, 159, 1984).
10. Amestoy, M., Bui, H. D. and Dang-Van, K. (1981) Analytic asymtotic solution of the kinked crack problem. In: Advances in Fracture Research (Edited by Francois, D.). Pergamon Press, Oxford, New York. pp. 107-113.
11. Richard, H. A. (1985) Bruchvorhersagen bei überlagerter Normal- und Schubbeanspruchung von Rissen. VDI-Forschungsheft 631. VDI-Verlag, Düsseldorf.
12. Leblond, J. B. and Amestoy, M. (1989) The stress intensity factors at the tip of a kinked and curved crack. In: Proceedings of 7th International Conferance on Fracture. Vol. 3, pp. 2339-2346.
13. Aoki, S., Kishimoto, K., Yoshida, T., Sakata, M. and Richard, H. A. (1990) Elastic-plastic fracture behavior of an aluminium alloy under mixed mode loading. J. Mech. Phys. Solids 38, 195-213.
14. Theilig, H., Doering, R. and Buchholz, F.-G. (1997) A higher order fatigue crack path simulation by the MVCCI-method. In: Advances in Fracture Research (Edited by Karihaloo, B. L. et al.). Vol. 4, Pergamon Press, Amsterdam, pp. 2235-2242.
15. Richard, H. A. and Schöllmann, M. (1999) Numerical investigation of fatigue crack growth under complex loading. In: Fatigue 99. (Edited by Wu, X.-R. and Wang, Z.-G.). Vol. 2. Higher Education Press, Peking, pp. 839-844.
16. Kassir, M. K. and Sih, G. C. (1975) Three dimensional crack problems. In: Mechanics of Fracture. Vol. 2, Noordhoff, Leyden.
17. Pook, L. P. (1995) On fatigue crack paths. Int. J. Fatigue 17 5-13.
18. Pook, L. P. (2000) Linear Elastic Fracture Mechanics for Engineers WIT-Press, Southampton.
19. Hull, D. (1995) The effect of mixed mode I/III on crack evolution in the brittle solids. Int. J. Fract. 70, 59-79.
20. Richard, H. A. and Kuna, M. (1990) Theoretical and experimental study of superimposed fracture modes I, II and III. Engng Fract. Mech. 35, 949-960.
21. Pook, L. P. (1993)A finite element analysis of the angle crack specimen. In: Mixed-Mode Fatigue and Fracture (Edited by Rossmanith, H. P. and Miller, K. J.) ESIS 14. Mechanical Enginering Publications, London, pp. 285-302.
22. Mi, Y. and Aliabadi, M. H. (1994) Three dimensional crack growth simulation using BEM. Comp. Struct. 52,871-878.
23. Wawrzynek, P. A., Carter, B.J., Potyondy, D. O. and Ingraffea, A. R. (1994) A topological approach to modeling arbitrary crack propagation in 3D. In: Diana Computational Mechanics 94 (Edited by Kusters, G. M. A. and Hendriks, M. A. N.). Kluwer Academic, Dordrecht, pp. 69-84.
24. Kuhn, G. and Partheymüller, P. (1999) 3D crack growth simulations with the boundary element method. In: Moving Boundaries V - Computational Modelling of Free and Moving Boundary Problems (Edited by Sarler, B., Brebbia, C. A. and Power, H.). WIT Press, Southampton, pp. 69-78.
25. Dhondt, G. (1998) Automatic three-dimensional cyclic crack propagation predictions with finite elements at the design stage of an aircraft engine. In: Applied Vehicle Technology Panel Symposium on Design Principles and Methods for Aircraft Turbine Engines (NATO-RTO). Toulouse, Frankreich, pp. (33-1)-(33-8).
26. Davenport, J. C. W. and Smith, D.J. (1993) A study of superimposed fracture modes I, II and III on PMMA. Engng Mater. Struct. 16 1125-1133.
27. Buchholz, F.-G., Just, V. and Richard, H. A. (2003) Computational simulation and experimental results on 3D crack growth in a SEN-specimen under torsion loading, In: CD-Rom Proceedings of International Conferance on Fatigue Crack Paths (FCP2003) (Edited by Carpinteri, A. and Pook, L.P.). University of Parma, Parma, Italy.
28. Schöllmann, M. (2001) Dr.-Ing. Thesis. 'Vorhersage des Risswachstums in ebenen und räumlichen Strukturen mittels numerischer Simulation'. Institute of Applied Mechanics, University of Paderborn. Fortschritt-Bericht VDI, Reihe 18: Mechanik/Bruchmechanik. Nr. Vol. 269, VDI-Verlag, Düsseldorf.
29. Schöllmann, M., Kullmer, G., Fulland, M. and Richard, H. A. (2001) A new criterion for 3D crack growth under mixed-mode (I+II+III) loading. In: Proceedings of the 6th International Conference on Biaxial/ Multiaxial Fatigue & Fracture (Edited by de Freitas, M. M.). Vol. II, Lisboa, Portugal, 2001. Instituto Superior Tecnico, Lisboa, pp. 589-596.
30. Schöllmann, M., Richard, H.A., Kullmer, G. and Fulland, M. (2002) A new criterion for the prediction of crack development in multiaxially loaded structures. Int. J. Fract. 117, 129-141.
31. Richard, H. A., Schöllmann, M., Buchholz, F.-G. and Fulland, M. (2003) Comparison of 3D-Fracture criteria. In: DVM-Berichte 235, Fortschritte der Bruch- und Schädigungsmechanik. Deutscher Verband für Materialforschung und -prüfung e. V., Berlin, pp. 335-348.
32. Fulland, M. (2002) Dr.-Ing. Thesis. Rißsimulationen in dreidimensionalen Strukturen mit automatischer adpativer Finite-Elemente-Netzgenerierung. Institute of Applied Mechanics, University of Paderborn. Forschritt-Bericht VDI, Reihe 18: Mechanik/ Bruchmechanik, Nr. 280, VDI-Verlag, Düsseldorf.
33. Fulland, M., Schöllmann, M. and Richard, H. A. (2000) ADAPCRACK3D-developement of a program for the simulation three-dimensional crack propagation processes. In: Advances in Computational Engineering & Sciences (Edited by Atluri, S. N. and Brust, F. W.). Tech Science Press, Palmdale, pp. 948-953.
34. Fulland, M. and Richard, H. A. (2003) Numerical determination of crack paths in three-dimensional structures with the program system ADAPCRACK3D. In: CD-Rom Proceedings of International Conferance on Fatigue Crack Paths (FCP2003) (Edited by Carpinteri, A. and Pook, L. P.). University of Parma, Parma, Italy.
35. Fulland, M. and Richard, H. A. (2003) Finite-element-based fatigue crack growth simulation in real structures. In :Advances in Fracture Mechanics (Edited by Buchholz, F.-G., Richard, H. A. and Aliabadi, M. H.). Trans Tech Publications, Zuerich, pp. 79-84.
36. Erdogan, F. and Ratwani, M. (1970) Fatigue and fracture of cylindrical shells containing a circumferential crack. Int. J. Fract. Mech. 6, 379-392.
37. Rybicki, E. F. and Kanninen, M. F. (1977) A finite element calculation of stress intensity factors by a modified crack closure integral. Engng Fract. Mech. 9, 931-938.
38. Buchholz, F.-G., Grebner, H., Dreyer, K.H. and Krome, H. (1988) 2D- and 3D-applications of the improved and generalized MCCI-Method. In: Computational Mechanics 88 (Edited by Atluri, S. N. et al. . Vol. 1, Springer-Verlag, New York, pp. 14.i.1-14.i.4.
39. Buchholz, E-G. (1994) Finite element analysis of a 3D mixed-mode fracture problem by VCCI-methods. In: Fracture Mechanics (Edited by Krishna Murthy, A.V., Buchholz, F.-G.). Interline Publication. Bangalore, pp. 7-12.
40. Buchholz, F.-G., Chergui, A. and Richard, H. A. (2004) Fracture analyses and experimental results on crack growth under general mixed mode loading conditions. Engng Fract. Mech. 71, 455-468.
41. Buchholz, F.-G.,Just, V. and Richard, H. A. (2003) Computational simulation and experimental results on 3D crack growth in a 3PB-specimen with an inclined crack plane, ln: Advances in Fracture Mechanics (Edited by Buchholz, F-G., Richard, H. A. and Aliabadi, M. H.). Trans Tech Publications, Zuerich, pp. 85-90.