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Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment
BORDAS, Stéphane; Zi, G.; Rabczuk, T.
2007In Proceedings of the IUTAM Symposium on Discretization Methods for Evolving Discontinuities
Peer reviewed
 

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Keywords :
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
Abstract :
[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.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
BORDAS, Stéphane ;  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
Language :
English
Title :
Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment
Publication date :
2007
Event name :
IUTAM Symposium on Discretization Methods for Evolving Discontinuities
Event organizer :
INSA Lyon
Event place :
Lyon, France
Event date :
4-7 September 2006
By request :
Yes
Audience :
International
Main work title :
Proceedings of the IUTAM Symposium on Discretization Methods for Evolving Discontinuities
Publisher :
Springer
Pages :
21-36
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
Commentary :
89804 9781402065293
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