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Adaptive Configurational Force-based crack propagation for brittle and fatigue analysis

Bird, R.E.; Coombs, W.M.; Giani, S.

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Authors

R.E. Bird



Abstract

This paper presents a โ„Ž๐‘๐‘Ÿ-adaptive crack propagation method for highly accurate 2D crack propagation paths which requires no a priori knowledge of the tip solution. The propagation method is designed to be simple to implement, only โ„Ž๐‘Ÿ-adaptivity is required, with the propagation step size independent of the initial mesh allowing users to obtain high fidelity crack path predictions for domains containing multiple cracks propagating at different rates. The proposed method also includes a crack path derefinement scheme, where elements away from the crack tip are derefined whilst elements close to the crack tip are small so capture the fidelity of the crack path. The result is that the propagation of cracks over an increasingly larger distances has negligible increased computational effort and effect on the propagation path prediction. The linear elastic problem is solved using the hp discontinuous Galerkin symmetric interior penalty (SIPM) finite element method, which is post-processed to obtain the configurational force (CF) at each tip to a user defined accuracy. Several numerical examples are used to demonstrate the accuracy, efficiency, and capability of the method. Due to the methodโ€™s high accuracy crack path solutions of benchmark problems that are prolifically used in the literature are challenged.

Citation

Bird, R., Coombs, W., & Giani, S. (2022). Adaptive Configurational Force-based crack propagation for brittle and fatigue analysis. International Journal for Numerical Methods in Engineering, 123(7), 1673-1709. https://doi.org/10.1002/nme.6911

Journal Article Type Article
Acceptance Date Nov 25, 2021
Online Publication Date Jan 18, 2022
Publication Date Apr 15, 2022
Deposit Date Nov 25, 2021
Publicly Available Date Jan 19, 2022
Journal International Journal for Numerical Methods in Engineering
Print ISSN 0029-5981
Electronic ISSN 1097-0207
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 123
Issue 7
Pages 1673-1709
DOI https://doi.org/10.1002/nme.6911
Keywords Fracture Mechanics, Crack Propagation, Configurational Forces, Discontinuous Galerkin, Finite Element Analysis, โ„Ž๐‘-adaptivity,
๐‘Ÿ-adaptivity

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
ยฉ 2021 The Authors. International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd.

This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.





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