TY - JOUR
T1 - A simple and robust three-dimensional cracking-particle method without enrichment
AU - Rabczuk, Timon
AU - Zi, Goangseup
AU - Bordas, Stephane
AU - Nguyen-Xuan, Hung
N1 - Funding Information:
The first author would like to thank the German Research Foundation (DFG) , Grant RA 1946/2-1 . The second author would like to thank the Agency for Defense Development (ADD) , Korea for Grant ADD-06-05-06 .
Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2010/8
Y1 - 2010/8
N2 - 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.
AB - 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.
KW - Cohesive crack model
KW - Dynamic fracture
KW - Meshfree methods
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U2 - 10.1016/j.cma.2010.03.031
DO - 10.1016/j.cma.2010.03.031
M3 - Article
AN - SCOPUS:77954762785
SN - 0045-7825
VL - 199
SP - 2437
EP - 2455
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 37-40
ER -