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An Adaptive Cracking Particle Method for 2D Crack Propagation

Ai, W.; Augarde, C.E.

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Authors

W. Ai



Abstract

Computational modelling of fracture has been attempted in the past with a range of numerical approaches including finite element, extended finite element and meshless methods. The cracking particle method (CPM) of Rabczuk is a pragmatic alternative to explicit modelling of crack surfaces in which a crack is represented by a set of cracking particles that can be easily updated when the crack propagates. The change of cracking angle is recorded in discrete segments of broken lines, which makes this methodology suitable to model discontinuous cracks. In this paper, a new CPM is presented that improves on two counts: firstly, crack path curvature modelling is improved by the use of bilinear segments centred at each particle and secondly, efficiency for larger problems is improved via an adaptive process of both refinement and recovery. The system stiffness is calculated and stored in local matrices, so only a small influenced domain should be recalculated for each step while the remainder can be read directly from storage, which greatly reduces the computational expense. The methodology is applied to several 2D crack problems, and good agreement to analytical solutions and previous work is obtained.

Citation

Ai, W., & Augarde, C. (2016). An Adaptive Cracking Particle Method for 2D Crack Propagation. International Journal for Numerical Methods in Engineering, 108(13), 1626-1648. https://doi.org/10.1002/nme.5269

Journal Article Type Article
Acceptance Date Apr 3, 2016
Online Publication Date May 5, 2016
Publication Date Dec 28, 2016
Deposit Date Jul 6, 2016
Publicly Available Date May 5, 2017
Journal International Journal for Numerical Methods in Engineering
Print ISSN 0029-5981
Electronic ISSN 1097-0207
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 108
Issue 13
Pages 1626-1648
DOI https://doi.org/10.1002/nme.5269

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Copyright Statement
This is the accepted version of the following article: Ai, W., and Augarde, C. E. (2016) An adaptive cracking particle method for 2D crack propagation. International Journal for Numerical Methods in Engineering, 108(13): 1626-1648, which has been published in final form at http://dx.doi.org/10.1002/nme.5269. This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.






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