Reference : Three-dimensional non-linear fracture mechanics by enriched meshfree methods without ...
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Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Zi, G. [Department of Civil and Environmental Engineering, Korea University, 5 Ga 1, An-Am Dong, Sung-Buk Gu, Seoul, 136-701, South Korea]
Rabczuk, T. [Dep. Mechanical Engineering, University of Canterbury, Christchureh, New Zealand]
Proceedings of the IUTAM Symposium on Discretization Methods for Evolving Discontinuities
IUTAM Symposium on Discretization Methods for Evolving Discontinuities
4-7 September 2006
[en] Cohesive cracks ; Discontinuous enrichment ; Dynamic fracture ; Extended Element Free Galerkin Method (XEFG) ; High velocity impact ; Lagrange multipliers ; Large deformations ; Dynamic fractures ; Element free Galerkin methods ; High-velocity impact ; Coalescence ; Concrete blocks ; Cracks ; Deformation ; Discrete event simulation ; Three dimensional ; Volume measurement
[en] This paper presents a three-dimensional, extrinsically enriched meshfree method for initiation, growth and coalescence of an arbitrary number of cracks in non-linear solids including large deformations, for statics and dynamics. 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 along the front. This decreases the computational cost and removes difficulties involved with a branch enrichment. Numerical examples treated include the pull-out of a reinforcement bar from a concrete block, and a Taylor bar impact with very large deformation and fragmentation. The results are compared to experimental results, and other simulations from the literature, which shows the robustness and accuracy of the method. © 2007 Springer.
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