Article (Scientific journals)
A simple and robust three-dimensional cracking-particle method without enrichment
Rabczuk, T.; Zi, G.; Bordas, Stéphane et al.
2010In Computer Methods in Applied Mechanics and Engineering, 199 (37-40), p. 2437-2455
Peer reviewed


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Keywords :
Cohesive crack model; Dynamic fracture; Meshfree methods; Cohesive cracks; Crack segments; Discrete cracks; Displacement discontinuity; International journals; Mesh-free method; Numerical example; Orientation bias; Particle methods; Show through; Three-dimensional problems; Variational formulation; Fracture; Numerical methods; Plates (structural components); Three dimensional; Cracks
Abstract :
[en] 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. © 2010 Elsevier B.V.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Rabczuk, T.;  Department of Civil Engineering, Bauhaus University Weimar, Weimar, Germany
Zi, G.;  Department of Civil, Environmental and Architectural Engineering, Korea University, South Korea
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Nguyen-Xuan, H.;  Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science, Viet Nam
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Title :
A simple and robust three-dimensional cracking-particle method without enrichment
Publication date :
Journal title :
Computer Methods in Applied Mechanics and Engineering
Volume :
Issue :
Pages :
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
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