journal article Jul 22, 2008

Cracking node method for dynamic fracture with finite elements

Abstract
AbstractA new method for modeling discrete cracks based on the extended finite element method is described. In the method, the growth of the actual crack is tracked and approximated with contiguous discrete crack segments that lie on finite element nodes and span only two adjacent elements. The method can deal with complicated fracture patterns because it needs no explicit representation of the topology of the actual crack path. A set of effective rules for injection of crack segments is presented so that fracture behavior beginning from arbitrary crack nucleations to macroscopic crack propagation is seamlessly modeled. The effectiveness of the method is demonstrated with several dynamic fracture problems that involve complicated crack patterns such as fragmentation and crack branching. Copyright © 2008 John Wiley & Sons, Ltd.
Topics

No keywords indexed for this article. Browse by subject →

References
59
[12]
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment

TED BELYTSCHKO, Hao Chen, Jingxiao Xu et al.

International Journal for Numerical Methods in Eng... 10.1002/nme.941
[17]
Song JH "Dynamic fracture of shells subjected to impulsive loads" Journal of Applied Mechanics (2008)
[20]
Numerical simulations of fast crack growth in brittle solids

X.-P. Xu, A. Needleman

Journal of the Mechanics and Physics of Solids 10.1016/0022-5096(94)90003-5
[21]
Computational modelling of impact damage in brittle materials

G.T. Camacho, M. Ortiz

International Journal of Solids and Structures 10.1016/0020-7683(95)00255-3
[24]
Duarte CA "Generalized finite element methods for three‐dimensional structural mechanics problems" Computers and Structures (2000) 10.1016/s0045-7949(99)00211-4
[33]
Simo JC "An analysis of strong discontinuities induced by strain‐softening in rate‐independent inelastic solids" International Journal for Numerical Methods in Engineering (1993)
[39]
Cracking particles: a simplified meshfree method for arbitrary evolving cracks

T. Rabczuk, T. Belytschko

International Journal for Numerical Methods in Eng... 10.1002/nme.1151
[42]
Belytschko T (2000)
[47]
Kalthoff JF "Failure mode transition at high rates of shear loading" International Conference on Impact Loading and Dynamic Behavior of Materials (1987)
[50]
Decker RF (1979)

Showing 50 of 59 references

Cited By
138
Computational Mechanics
Computers & Mathematics with Ap...
Computer Methods in Applied Mechani...
Computer Methods in Applied Mechani...
International Journal for Numerical...
Metrics
138
Citations
59
References
Details
Published
Jul 22, 2008
Vol/Issue
77(3)
Pages
360-385
License
View
Cite This Article
Jeong‐Hoon Song, TED BELYTSCHKO (2008). Cracking node method for dynamic fracture with finite elements. International Journal for Numerical Methods in Engineering, 77(3), 360-385. https://doi.org/10.1002/nme.2415