Reference : A three-dimensional meshfree method for continuous multiple-crack initiation, propaga...
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Computational Sciences
A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics
Rabczuk, Timon [Institute for Numerical Mechanics, Technical University of Munich, Boltzmannstr. 15, 85748 Garching b. Munich, Germany]
Bordas, Stéphane mailto [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]
Computational Mechanics
Yes (verified by ORBilu)
[en] 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
[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.
Korea Institute of Construction and Transportation Technology Evaluation and Planning (KICTTEP) grant 05-CTRM-D04-03
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