Dr Robert Bird robert.e.bird@durham.ac.uk
PDRA in Computational Solid Mechanics
Two dimensional configurational-force-driven crack propagation using the discontinuous Galerkin method with rp-adaptivity
Bird, R.E.; Coombs, W.M.; Giani, S.
Authors
Professor William Coombs w.m.coombs@durham.ac.uk
Professor
Dr Stefano Giani stefano.giani@durham.ac.uk
Associate Professor
Abstract
This paper presents a quasi-static configurational force (CF) brittle fracture propagation method, [1], using the discontinuous Galerkin (dG) symmetric interior penalty (SIP) method, [2]. The method is derived from the first law of thermodynamics with consideration of the Griffith fracture criterion [1]. The criterion is evaluated by finding the difference between the power applied to the domain and the rate of internal energy change at every point in the domain. If a node within the element mesh satisfies the criterion, a crack will propagate in the CF direction. Around the crack tip the advantage of element specific degrees of freedom in dG methods enables simple p-adaptivity to determine the CF in the spatial domain. In the material domain r-adaptivity is implemented, where the CF direction is used to align element edges, which are then split to propagate the crack.
Citation
Bird, R., Coombs, W., & Giani, S. (2016). Two dimensional configurational-force-driven crack propagation using the discontinuous Galerkin method with rp-adaptivity. In Proceedings of the 24th UK Conference of the Association for Computational Mechanics in Engineering, 31 March - 01 April 2016, Cardiff University, Cardiff (137-140)
Conference Name | ACME - UK 2016 24th Conference of the Association for Computational Mechanics in Engineering. |
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Conference Location | Cardiff, UK |
Start Date | Mar 31, 2023 |
End Date | Apr 1, 2016 |
Acceptance Date | Mar 1, 2016 |
Publication Date | Apr 1, 2016 |
Deposit Date | Apr 12, 2016 |
Publicly Available Date | Mar 29, 2024 |
Publisher | Cardiff University |
Pages | 137-140 |
Series Title | |
Book Title | Proceedings of the 24th UK Conference of the Association for Computational Mechanics in Engineering, 31 March - 01 April 2016, Cardiff University, Cardiff. |
Publisher URL | http://acme2016.sciencesconf.org/conference/acme2016/pages/proceedings.pdf |
Additional Information | Conference date: 31 March - 1 April 2016 |
Files
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