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A simple and robust three-dimensional cracking-particle method without enrichment

Rabczuk, Timon ; Zi, Goangseup ; Bordas, Stephane ; Nguyen-Xuan, Hung

Computer methods in applied mechanics and engineering, 2010-08, Vol.199 (37), p.2437-2455 [Revista revisada por pares]

Kidlington: Elsevier B.V

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Título:
A simple and robust three-dimensional cracking-particle method without enrichment
Autor: Rabczuk, Timon ; Zi, Goangseup ; Bordas, Stephane ; Nguyen-Xuan, Hung
Materias: 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
Es parte de: Computer methods in applied mechanics and engineering, 2010-08, Vol.199 (37), p.2437-2455
Notas: ObjectType-Article-2
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Descripción: 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.
Editor: Kidlington: Elsevier B.V
Idioma: Inglés

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A simple and robust three-dimensional cracking-particle method without enrichment

Rabczuk, Timon ; Zi, Goangseup ; Bordas, Stephane ; Nguyen-Xuan, Hung

Kidlington: Elsevier B.V

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