A simple and robust three-dimensional cracking-particle method without enrichment
A new robust and efficient approach for modeling discrete cracks in meshfree methods is described. The method is motivated by the cracking-particle method (Rabczuk T., Belytschko T., International Journal for Numerical Methods in Engineering, 2004) where the crack is modeled by a set of cracked segm...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering Jg. 199; H. 37; S. 2437 - 2455 |
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| Hauptverfasser: | , , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Kidlington
Elsevier B.V
01.08.2010
Elsevier |
| Schlagworte: | |
| ISSN: | 0045-7825, 1879-2138 |
| Online-Zugang: | Volltext |
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| Abstract | A new robust and efficient approach for modeling discrete cracks in meshfree methods is described. The method is motivated by the cracking-particle method (Rabczuk T., Belytschko T., International Journal for Numerical Methods in Engineering, 2004) where the crack is modeled by a set of cracked segments. However, in contrast to the above mentioned paper, we do not introduce additional unknowns in the variational formulation to capture the displacement discontinuity. Instead, the crack is modeled by splitting particles located on opposite sides of the associated crack segments and we make use of the visibility method in order to describe the crack kinematics. We apply this method to several two- and three-dimensional problems in statics and dynamics and show through several numerical examples that the method does not show any “mesh” orientation bias. |
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| AbstractList | A new robust and efficient approach for modeling discrete cracks in meshfree methods is described. The method is motivated by the cracking-particle method (Rabczuk T., Belytschko T., International Journal for Numerical Methods in Engineering, 2004) where the crack is modeled by a set of cracked segments. However, in contrast to the above mentioned paper, we do not introduce additional unknowns in the variational formulation to capture the displacement discontinuity. Instead, the crack is modeled by splitting particles located on opposite sides of the associated crack segments and we make use of the visibility method in order to describe the crack kinematics. We apply this method to several two- and three-dimensional problems in statics and dynamics and show through several numerical examples that the method does not show any "mesh" orientation bias. |
| Author | Bordas, Stephane Nguyen-Xuan, Hung Rabczuk, Timon Zi, Goangseup |
| Author_xml | – sequence: 1 givenname: Timon surname: Rabczuk fullname: Rabczuk, Timon email: timon.rabczuk@uni-weimar.de organization: Department of Civil Engineering, Bauhaus University Weimar, Weimar, Germany – sequence: 2 givenname: Goangseup surname: Zi fullname: Zi, Goangseup organization: Department of Civil, Environmental & Architectural Engineering, Korea University, Republic of Korea – sequence: 3 givenname: Stephane surname: Bordas fullname: Bordas, Stephane organization: Institute of Theoretical, Applied and Computational Mechanics, Cardiff University, School of Engineering – sequence: 4 givenname: Hung surname: Nguyen-Xuan fullname: Nguyen-Xuan, Hung organization: Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science, Vietnam |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23175561$$DView record in Pascal Francis |
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| CODEN | CMMECC |
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| Keywords | Meshfree methods Cohesive crack model Dynamic fracture Enrichment Crack array Discontinuity Cohesive end Rupture Particle models Modeling Crack propagation Particle method Meshless method Kinematics Variational calculus Mesh generation Dynamic load Crack |
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| SubjectTerms | Cohesive crack model Computer simulation Cracks Dynamic fracture Enrichment Exact sciences and technology Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) Mathematical models Mathematics Meshfree methods Meshless methods Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis Numerical analysis. Scientific computation Physics Sciences and techniques of general use Segments Solid mechanics Structural and continuum mechanics Visibility |
| Title | A simple and robust three-dimensional cracking-particle method without enrichment |
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