Article (Scientific journals)
Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment
Bordas, Stéphane; Rabczuk, Timon; Zi, Goangseup
2008In Engineering Fracture Mechanics, 75 (5), p. 943-960
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Keywords :
Cohesive cracks; Discontinuous enrichment; Dynamic fracture; Extended element free Galerkin method (XEFG); High velocity impact; Lagrange multipliers; Large deformations; Coalescence; Computer simulation; Crack propagation; Crack tips; Deformation; Galerkin methods; Robustness (control systems); Extended meshfree method; Non-linear solids; Crack initiation
Abstract :
[en] This paper presents a three-dimensional, extrinsically enriched meshfree method for initiation, branching, 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 is that only an extrinsic discontinuous enrichment and no near-tip 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. The results are compared to experimental data, and other simulations from the literature to show the robustness and accuracy of the method.
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
Rabczuk, Timon;  Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand
Zi, Goangseup;  Department of Civil and Environmental Engineering, Korea University, 5 Ga 1, An-Am Dong, Sung-Buk Gu, Seoul 136-701, South Korea
External co-authors :
yes
Language :
English
Title :
Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment
Publication date :
2008
Journal title :
Engineering Fracture Mechanics
ISSN :
0013-7944
eISSN :
1873-7315
Publisher :
Elsevier, Netherlands
Volume :
75
Issue :
5
Pages :
943-960
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
Funders :
Agency for Defense Development (ADD) grant ADD-06-05-06.
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