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Two dimensional configurational-force-driven crack propagation using the discontinuous Galerkin method with rp-adaptivity

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

Two dimensional configurational-force-driven crack propagation using the discontinuous Galerkin method with rp-adaptivity Thumbnail


Authors

Dr Robert Bird robert.e.bird@durham.ac.uk
PDRA in Computational Solid Mechanics



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.
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 Apr 14, 2016
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

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