An adaptive cracking particle method for 2D crack propagation

Summary 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...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2016-12, Vol.108 (13), p.1626-1648
Main Authors: Ai, Weilong, Augarde, Charles E.
Format: Article
Language:English
Subjects:
adaptivity
Computation
crack propagation
Cracking (fracturing)
cracking particles
element-free Galerkin
Finite element method
Fracture mechanics
Mathematical analysis
Mathematical models
meshless methods
Methodology
Segments
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Summary:Summary 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. Copyright © 2016 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.5269