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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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 199; no. 37; pp. 2437 - 2455
Main Authors: Rabczuk, Timon, Zi, Goangseup, Bordas, Stephane, Nguyen-Xuan, Hung
Format: Journal Article
Language:English
Published: Kidlington Elsevier B.V 01.08.2010
Elsevier
Subjects:
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
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
ISSN:0045-7825, 1879-2138
Online Access:Get full text
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Summary: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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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2010.03.031