Comparison of Computational Crack Path Predictions with Experimental Findings for a Quarter-Circular Surface Crack in a Shaft under Torsion

Abstract:

In this paper the rather complex 3D fatigue crack growth behaviour in a shaft with a quarter-circular crack under torsion is investigated by the aid of the programme ADAPCRACK3D and by application of a recently developed 3D fracture criterion. It will be shown that the computationally simulated results of fatigue crack growth in the FE-model of the shaft are in good agreement with experimental findings for the development of two anti-symmetric cracks, which originate from the two crack front corner points, that is where the crack front intersects the free surface of the cylindrical laboratory test-specimens. Consequently, also for this case with a rather complex 3D crack growth of two anti-symmetric cracks, the functionality of the ADAPCRACK3Dprogramme and the validity of the proposed 3D fracture criterion can be stated.

• Periodical: Key Engineering Materials (Volumes 348-349)
• Pages: 161-164
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.348-349.161
• Online since: September 2007
• Authors: Friedrich G. Buchholz, J. Wiebesiek, M. Fulland, Hans A. Richard
• Keywords: 3D Fatigue Crack Growth, Computational Simulation, Experimental Findings, Quarter-Circular Surface Crack, Shaft, Torsion Loading

References

[1] Kassir, M.K., Sih, G.C.: Three dimensional crack problems. In Mechanics of Fracture, Vol. 2 Noordhoff, Leyden (1975).

[2] Pook, L.P.: On fatigue crack paths. Int. J. Fatigue, Vol. 17 (1995), 5-13.

[3] Lazarus, V., Leblond, J. -B.: Crack paths under mixed mode I+II or (I+II+III) loadings. Comptes Rendus de l´Academie des Sciences, Serie II (1998), Vol. 326, No. 3, 171-177.

DOI: 10.1016/s1251-8069(99)89004-6

[4] Dhondt, G.: A New Three-Dimensional Fracture Criterion. Key Engineering Materials, Vols. 251-252 (2003), 209-214.

DOI: 10.4028/www.scientific.net/kem.251-252.209

[5] Schoellmann, M., Richard, H.A., Kullmer, G., Fulland, M.: A new criterion for the prediction of crack development in multiaxially loaded structures, Int. J. Fract. 117 (2002), 129-141.

[6] Fulland, M., Richard, H.A.: Numerical Determination of crack paths in three-dimensional structures with the program system ADAPCRACK3D. In CD-Rom-Proc. of Int. Conf. on Fatigue Crack Paths (FCP2003), A. Carpinteri, L.P. Pook (Eds. ), Parma (2003).

[7] Erdogan, F. and Ratwani, M.: Int. J. Frac. Mech 6 (1970), No. 4, 379-392.

[8] Rybicki, E.F., Kanninen, M.F.: A finite element calculation of stress intensity factors by a modified crack closure integral. Engng. Fract. Mech. 9 (1977), 931-938.

DOI: 10.1016/0013-7944(77)90013-3

[9] Buchholz, F. -G., Grebner, H., Dreyer, K.H., Krome, H.: 2D- and 3D-Applications of the Improved and Generalized MCCI-Method. In Computational Mechanics 88, Vol. 1, S.N. Atluri et al. (Eds. ), Springer Verl., New York (1988), 14. i. 1-14. i. 4.

DOI: 10.1007/978-3-642-61381-4_94

[10] Buchholz, F. -G.: Finite Element Analysis of a 3D Mixed-Mode Fracture Problem by VCCI- Methods. In Fracture Mechanics, A.V. Krishna Murthy, F. -G. Buchholz (Eds. ), Interline Publishers., Bangalore (1994), 7-12.

[11] Buchholz, F. -G., Just, V., Richard, H. A.: Computational simulation and experimental findings of three-dimensional fatigue crack growth in a single-edge notched specimen under torsion. Fatigue Fract. Engng. Mater. Struct. 28 (2005), 127-138.

DOI: 10.1111/j.1460-2695.2005.00864.x