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

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

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. (2023, March). Two dimensional configurational-force-driven crack propagation using the discontinuous Galerkin method with rp-adaptivity. Presented at ACME - UK 2016 24th Conference of the Association for Computational Mechanics in Engineering., Cardiff, UK

• Presentation Conference Type: Conference Paper (published)
• Conference Name: ACME - UK 2016 24th Conference of the Association for Computational Mechanics in Engineering.
• 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.
• Public URL: https://durham-repository.worktribe.com/output/1150596
• Publisher URL: http://acme2016.sciencesconf.org/conference/acme2016/pages/proceedings.pdf
• Additional Information: Conference date: 31 March - 1 April 2016