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SIPG fracture data supporting: A quasi-static discontinuous Galerkin configurational force fracture propagation method for brittle materials [IJNME (2017)] Open Access

Abstract from paper: This paper presents a framework for r-adaptive quasi-static configurational force (CF) brittle crack propagation, cast within a discontinuous Galerkin (DG) symmetric interior penalty (SIPG) finite element scheme. Cracks are propagated in discrete steps, with a staggered algorithm, along element interfaces which align themselves with the predicted crack propagation direction. The key novelty of the work is the exploitation of the DG face stiffness terms existing along element interfaces to propagate a crack in a mesh independent r-adaptive quasi-static fashion, driven by the CF at the crack tip. This adds no new degrees of freedom to the data structure. Additionally as DG methods have element specific degrees of freedom, a geometry driven p-adaptive algorithm is also easily included allowing for more accurate solutions of the CF on a moving crack front. Further, for non-determinant systems, we introduce an average boundary condition that restrains rigid body motion leading to a determinant system. To the authors' knowledge this is first time such a boundary condition has been described. The proposed formulation is validated against, single and multiple crack problems with single-and mixed-mode cracks, demonstrating the predictive capabilities of the method. This article is protected by copyright. All rights reserved.

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Creator: Bird, R.E. ¹
Contact person: Bird, R.E. ¹
Creator: Coombs, W.M. ¹
Creator: Giani, S. ¹

¹ Durham University, UK

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Engineering and Physical Sciences Research Council
EP/K502832/1

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doi:10.1002/nme.5699

Identifier

ark:/32150/r2q237hr92g
doi:10.15128/r2q237hr92g

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Creative Commons Attribution 4.0 International (CC BY)

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Durham University

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R.E. Bird

Date Uploaded

12 September 2017, 10:09:48

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19 October 2017, 10:10:21

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Last modified: 2017:09:12 11:51:23+01:00

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