engineering & technology publications
ISSN 1759-3433
PROCEEDINGS OF THE FIFTEENTH UK CONFERENCE OF THE ASSOCIATION OF COMPUTATIONAL MECHANICS IN ENGINEERING
An Enriched Meshfree Method for Multiple Cracks in Three Dimensions
1Mechanical Engineering Department, University of Canterbury, Christchurch, New Zealand
2Civil Engineering Department, University of Glasgow, United Kingdom
3Department of Civil & Environmental Engineering, Korea University, Seoul, Korea
The novelty of the methodology fashioned in this work is that only an extrinsic discontinuous enrichment and no near-tip/asymptotic enrichment is required. Instead, a Lagrange multiplier field is added along the crack front to close the crack. This decreases the computational cost and removes difficulties involved with a branch enrichment.
Numerical examples treated a crack branching problem, twisting of a chalk bar and, finally, a Taylor bar impact with very large deformation and fragmentation. The results are compared to experimental data, and other simulations from the literature to show the robustness and accuracy of the method.
The contribution only highlights the most salient features of the method, and the interested readers are encouraged to consult references [2,1] for details.
- 1
- S. Bordas, T. Rabczuk, and G. Zi. Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment. Engineering Fracture Mechanics, submitted, 2007. doi:10.1016/j.engfracmech.2007.05.010
- 2
- T. Rabczuk, S. Bordas, and G. Zi. A three dimensional meshfree method for static and dynamic multiple crack nucleation/propagation with crack path continuity. Computational Mechanics, in press, 2007. doi:10.1007/s00466-006-0122-1
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