Bird, R.E. and Coombs, W.M. and 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. Cardiff: Cardiff University, pp. 137-140.
This paper presents a quasi-static configurational force (CF) brittle fracture propagation method, , using the discontinuous Galerkin (dG) symmetric interior penalty (SIP) method, . The method is derived from the first law of thermodynamics with consideration of the Griffith fracture criterion . 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.
|Item Type:||Book chapter|
|Full text:||(VoR) Version of Record|
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|Publisher Web site:||http://acme2016.sciencesconf.org/conference/acme2016/pages/proceedings.pdf|
|Date accepted:||01 March 2016|
|Date deposited:||14 April 2016|
|Date of first online publication:||April 2016|
|Date first made open access:||No date available|
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