Abstract
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.
Original language | English |
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Pages (from-to) | 473-495 |
Number of pages | 23 |
Journal | Computational Mechanics |
Volume | 40 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2007 Aug |
Keywords
- Cohesive forces
- Extended element-free Galerkin method (XEFG)
- Extrinsic partition of unity enrichment
- Non-linear fracture mechanics
- Static and dynamic fracture
- Three-dimensional cracks
ASJC Scopus subject areas
- Computational Mechanics
- Ocean Engineering
- Mechanical Engineering
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics