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

Bird, R.E. and Coombs, W.M. and Giani, S. (2022) 'Adaptive Configurational Force-based crack propagation for brittle and fatigue analysis.', International Journal for Numerical Methods in Engineering, 123 (7). pp. 1673-1709.


This paper presents a β„Žπ‘π‘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 β„Žπ‘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 method’s high accuracy crack path solutions of benchmark problems that are prolifically used in the literature are challenged.

Item Type:Article
Keywords:Fracture Mechanics, Crack Propagation, Configurational Forces, Discontinuous Galerkin, Finite Element Analysis, β„Žπ‘-adaptivity, π‘Ÿ-adaptivity
Full text:Publisher-imposed embargo
(AM) Accepted Manuscript
File format - PDF
Full text:(VoR) Version of Record
Available under License - Creative Commons Attribution 4.0.
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Publisher statement:Β© 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.
Date accepted:25 November 2021
Date deposited:26 November 2021
Date of first online publication:18 January 2022
Date first made open access:14 January 2022

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