Advanced simulation of 3D fatigue crack growth by a predictor-corrector procedure considering 3D singularities
Kolk K, Kuhn G (2005)
Publication Language: English
Publication Type: Conference contribution
Publication year: 2005
Edited Volumes: 11th International Conference on Fracture 2005, ICF11
Pages Range: CD-ROM
Conference Proceedings Title: Proceedings of the 11th International Conference of Fracture
Event location: Turin, Italy
Abstract
An advanced incremental algorithm for the simulation of 3D fatigue crack growth in the framework of linear elastic fracture mechanics is addressed to this paper. The simulation is based on an accurate stress analysis, which is performed by the 3D dual boundary element method (Dual BEM). The utilized fracture mechanics parameters are the stress intensity factors (SIFs) and the so-called T-stresses. They are extracted from the numerical crack near-field by an optimized extrapolation and regression algorithm providing very precise values of both parameters. To answer the still open question concerning a reliable 3D crack growth criterion a predictor-corrector procedure is implemented. This concept is capable of mode-I and three-dimensional mixed-mode conditions. As part of the proposed scheme, 3D corner singularities are considered. They appear especially at the intersection of the crack front and the free surface. Based on these known asymptotic exponents, it is advantageous that the crack front angle is adjusted at such intersection points ensuring a valid square-root singularity and therefore a bounded energy release rate. As a result, the shape of the numerical crack front matches experimentally observed crack fronts locally. After applying a certain number of corrector steps assuming a constant distribution of the energy release rate along the whole crack front a global matching occurs. Finally, a sophisticated re-meshing algorithm updates the numerical model automatically for the next increment.
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How to cite
APA:
Kolk, K., & Kuhn, G. (2005). Advanced simulation of 3D fatigue crack growth by a predictor-corrector procedure considering 3D singularities. In Proceedings of the 11th International Conference of Fracture (pp. CD-ROM). Turin, Italy, IT.
MLA:
Kolk, Karsten, and Günther Kuhn. "Advanced simulation of 3D fatigue crack growth by a predictor-corrector procedure considering 3D singularities." Proceedings of the ICF XI, Turin, Italy 2005. CD-ROM.
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