A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics
| Autor: | Stéphane Bordas, Timon Rabczuk, Goangseup Zi |
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| Rok vydání: | 2007 |
| Předmět: |
Physics
Extended element free Galerkin method (XEFG) three dimensional cracks cohesive forces static and dynamic fracture extrinsic partition of unity enrichment non-linear fracture mechanics Diffuse element method business.industry Stability criterion Applied Mathematics Mechanical Engineering Computational Mechanics Ocean Engineering Fracture mechanics Mechanics Structural engineering Physics::Geophysics Computational Mathematics Ingenieurwissenschaften Computational Theory and Mathematics Partition of unity Displacement field Meshfree methods ddc:620 Galerkin method business Statics |
| Zdroj: | Computational Mechanics. 40:473-495 |
| ISSN: | 1432-0924 0178-7675 |
| DOI: | 10.1007/s00466-006-0122-1 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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