Cohesive forces; Extended element-free Galerkin method (XEFG); Extrinsic partition of unity enrichment; Non-linear fracture mechanics; Static and dynamic fracture; Three-dimensional cracks; Crack initiation; Crack propagation; Force measurement; Function evaluation; Nonlinear systems; Problem solving; Extrinsic partition; Unity enrichment; Galerkin methods
Abstract :
[en] This paper proposes a three-dimensional meshfree method for arbitrary crack initiation and propagation that ensures crack path continuity for non-linear material models and cohesive laws. The method is based on a local partition of unity. An extrinsic enrichment of the meshfree shape functions is used with discontinuous and near-front branch functions to close the crack front and improve accuracy. The crack is hereby modeled as a jump in the displacement field. The initiation and propagation of a crack is determined by the loss of hyperbolicity or the loss of material stability criterion. The method is applied to several static, quasi-static and dynamic crack problems. The numerical results very precisely replicate available experimental and analytical results.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Rabczuk, Timon; Institute for Numerical Mechanics, Technical University of Munich, Boltzmannstr. 15, 85748 Garching b. Munich, Germany
Bordas, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Zi, Goangseup; Department of Civil and Environmental Engineering, Korea University, 5-1, Anam-dong, Sungbuk-Ku, Seoul 136-701, South Korea
External co-authors :
yes
Language :
English
Title :
A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics
Publication date :
2007
Journal title :
Computational Mechanics
ISSN :
0178-7675
Volume :
40
Issue :
3
Pages :
473-495
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
Funders :
Korea Institute of Construction and Transportation Technology Evaluation and Planning (KICTTEP) grant 05-CTRM-D04-03