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

Authors
Rabczuk, TimonZi, GoangseupBordas, StephaneNguyen-Xuan, Hung
Issue Date
2010
Publisher
ELSEVIER SCIENCE SA
Keywords
Meshfree methods; Cohesive crack model; Dynamic fracture
Citation
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.199, no.37-40, pp 2437 - 2455
Pages
19
Indexed
SCI
SCIE
SCOPUS
Journal Title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume
199
Number
37-40
Start Page
2437
End Page
2455
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/118537
DOI
10.1016/j.cma.2010.03.031
ISSN
0045-7825
1879-2138
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 (C) 2010 Elsevier B V. All rights reserved
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