×

The advanced simulation of fatigue crack growth in complex 3D structures. (English) Zbl 1161.74510

Summary: An advanced incremental crack growth algorithm for the three-dimensional (3D) simulation of fatigue crack growth in complex 3D structures with linear elastic material behavior is presented. To perform the crack growth simulation as effectively as possible an accurate stress analysis is done by the boundary-element method (BEM) in terms of the 3D dual BEM. The question concerning a reliable 3D crack growth criterion is answered based on experimental observations. All criteria under consideration are numerically realized by a predictor-corrector procedure. The agreement between numerically determined and experimentally observed crack fronts will be shown on both fracture specimens and an industrial application.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74R10 Brittle fracture

Software:

Q-Morph
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Aliabadi M.H. (2002) The boundary element method. In: Applications in Solids and Structures, Vol 2. Wiley, Chichester · Zbl 0994.74002
[2] Bebendorf M., Rjasanow S. (2003) Adaptive low-rank approximation of collocation matrices. Computing 70, 1–24 · Zbl 1068.41052
[3] Cruse T.A. (1972) Numerical evaluation of elastic stress intensity factors by the boundary integral equation method. In: Swedlow J.L. (eds) The Surface Crack: Physical Problems and Computational Solutions. ASME, New York, pp. 153–170
[4] Dimitrov A., Andrä H., Schnack E. (2001) Efficient computation of order and mode of corner singularities in 3D–elasticity. Int. J. Numer. Methods Eng. 52, 805–827 · Zbl 1043.74042
[5] Grasedyck L. (2005) Adaptive recompression of \({\mathcal{H}}\) –matrices for BEM. Computing 74, 205–233 · Zbl 1070.65028
[6] Helldörfer, B., Kuhn, G.: Coupled FEM/BEM analysis of fracture mechanical problems. In: Kuhn, G., Ren, Z., Skerget, L., Hribersek, M. (eds.) Proceedings of the 2nd Workshop of Advanced Computational Engineering Mechanics, Erlangen, Germany, pp. 63–72 (2005)
[7] Heyder M., Kolk K., Kuhn G. (2005) Numerical and experimental investigations of the influence of corner singularities on 3D fatigue crack propagation. Eng. Fract. Mech. 72:2019–2030
[8] Kolk, K.: Automatische 3D-Rissfortschrittssimulation unter Berücksichtigung von 3D-Effekten und Anwendung schneller Randelementformulierungen. VDI, Reihe 18 Nr. 300, Düsseldorf (2005)
[9] Kolk, K., Kuhn, G.: 3D crack growth simulation. In: Waszczyszyn, Z., Pamin, J. (eds.) 2nd European Conference on Computational Mechanics, Cracow, Poland (2001) · Zbl 1161.74510
[10] Kolk K., Kuhn G. (2005) A predictor-corrector scheme for the optimization of 3D crack front shapes. Fatigue Fract. Eng. Mater. Struct. 28, 117–126
[11] Kolk K., Mishuris G., Kuhn G. (2003) Singularities with application to fatigue crack growth propagation. In: Movchan A. (eds) IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics. Kluwer, Dordrecht, pp. 433–443
[12] Kolk K., Mishuris G., Kuhn G. (2004) Design of a new fracture specimen by 3D singularity analyses. Proc. Appl. Math. Mech. 4, 284–285 · Zbl 1354.74248
[13] Kolk K., Weber W., Kuhn G. (2005) Investigation of 3D crack propagation problems via fast BEM formulations. Comput. Mech. 37, 32–40 · Zbl 1158.74513
[14] Kuhn, G., Kolk, K.: The 3D dual BEM and its application to the simulation of crack growth. In: Proceedings of Computer Methods in Mechanics (CMM-2003), ISBN 83-914632-4-9. Gliwice, Poland (2003)
[15] Love A.E.H. (1927) A Treatise on the Mathematical Theory of Elasticity. Dover, New York
[16] Neuber H. (1985) Kerbspannungslehre. Springer, Berlin Heidelberg New York
[17] Owen S.J., Staten M.L., Canann S.A., Saigal S. (1999) Q-Morph: An indirect approach to advancing front quad meshing. Int. J. Num. Methods Eng. 44:1317–1340 · Zbl 0946.74067
[18] Partheymüller P., Haas M., Kuhn G. (2000) Comparison of the basic and the discontinuity formulation of the 3D-Dual boundary element method. Eng. Anal. Bound. Elem. 24, 777–788 · Zbl 1012.74078
[19] Portella A., Aliabadi M.H., Rooke D.P. (1992) The dual boundary element method: effective implementation for crack problems. Int. J. Numer. Methods Eng. 33:1269–1287 · Zbl 0825.73908
[20] Rifani A.I., Grandt A.F. (1996) A fracture mechanics analysis of fatigue crack growth in a complex cross section. Eng. Fail. Anal. 3, 249–265
[21] Sirtori S., Maier G., Novati G., Miccoli S. (1992) A Galerkin symmetric boundary-element method in elasticity: formulation and implementation. Int. J. Numer. Methods Eng. 35, 255–282 · Zbl 0768.73089
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.