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An adaptive cracking particle method providing explicit and accurate description of 3D crack surfaces

Ai, Weilong; Augarde, Charles

An adaptive cracking particle method providing explicit and accurate description of 3D crack surfaces Thumbnail


Authors

Weilong Ai



Abstract

Cracks in 3D have arbitrary shapes and therefore present difficulties for numerical modelling. A novel adaptive cracking particle method with explicit and accurate description of 3D cracks is described in this paper. In this meshless method, crack surfaces are described by a set of discontinuous segments which are associated with particles. This group of particles are assumed all to be “cracked” and split into two sub-particles with modified support domains. Compared to the original method where the spherical supports at particles are equally divided, the proposed method makes use of non-planar segments to account for changes in crack face direction. The orientations of those segments and the angular changes of cracks during crack propagation steps are recorded using triangular meshes. Supports of weight functions are modified according to those changes so that quasi-continuous crack surfaces can be obtained, avoiding the spurious cracking seen in earlier CPMs. An adaptive approach in 3D is then introduced to capture stress gradients around crack fronts. Several 3D crack problems with reference results have been tested to validate the proposed method with good agreement being achieved using the new method, showing it to be potentially a significant advance for 3D fracture predictions problems.

Journal Article Type Article
Acceptance Date Jan 24, 2018
Online Publication Date Mar 6, 2018
Publication Date Jun 22, 2018
Deposit Date Jan 26, 2018
Publicly Available Date Mar 6, 2019
Journal International Journal for Numerical Methods in Engineering
Print ISSN 0029-5981
Electronic ISSN 1097-0207
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 114
Issue 12
Pages 1291-1309
DOI https://doi.org/10.1002/nme.5786
Public URL https://durham-repository.worktribe.com/output/1335971

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Copyright Statement
This is the accepted version of the following article: Ai, Weilong & Augarde, Charles (2018). An adaptive cracking particle method providing explicit and accurate description of 3D crack surfaces. International Journal for Numerical Methods in Engineering 114(12): 1291-1309, which has been published in final form at https://doi.org/10.1002/nme.5786. This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.






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