Finite element model for brittle fracture and fragmentation
Abstract
A new computational model for brittle fracture and fragmentation has been developed based on finite element analysis of non-linear elasticity equations. The proposed model propagates the cracks by splitting the mesh nodes alongside the most over-strained edges based on the principal direction of strain tensor. To prevent elements from overlapping and folding under large deformations, robust geometrical constraints using the method of Lagrange multipliers have been incorporated. In conclusion, the model has been applied to 2D simulations of the formation and propagation of cracks in brittle materials, and the fracture and fragmentation of stretched and compressed materials.
- Authors:
-
- Stony Brook Univ., Stony Brook, NY (United States)
- Stony Brook Univ., Stony Brook, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (SC-21)
- OSTI Identifier:
- 1324261
- Report Number(s):
- BNL-112403-2016-JA
Journal ID: ISSN 1877-0509
- Grant/Contract Number:
- SC00112704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Procedia Computer Science
- Additional Journal Information:
- Journal Volume: 80; Journal Issue: C; Conference: International Conference on Computational Science 2016, San Diego, CA (United States), 6-8 Jun 2016; Journal ID: ISSN 1877-0509
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; brittle fracture; fragmentation; collision detection; finite elements method; nonlinear elasticity
Citation Formats
Li, Wei, Delaney, Tristan J., Jiao, Xiangmin, Samulyak, Roman, and Lu, Cao. Finite element model for brittle fracture and fragmentation. United States: N. p., 2016.
Web. doi:10.1016/j.procs.2016.05.317.
Li, Wei, Delaney, Tristan J., Jiao, Xiangmin, Samulyak, Roman, & Lu, Cao. Finite element model for brittle fracture and fragmentation. United States. https://doi.org/10.1016/j.procs.2016.05.317
Li, Wei, Delaney, Tristan J., Jiao, Xiangmin, Samulyak, Roman, and Lu, Cao. Wed .
"Finite element model for brittle fracture and fragmentation". United States. https://doi.org/10.1016/j.procs.2016.05.317. https://www.osti.gov/servlets/purl/1324261.
@article{osti_1324261,
title = {Finite element model for brittle fracture and fragmentation},
author = {Li, Wei and Delaney, Tristan J. and Jiao, Xiangmin and Samulyak, Roman and Lu, Cao},
abstractNote = {A new computational model for brittle fracture and fragmentation has been developed based on finite element analysis of non-linear elasticity equations. The proposed model propagates the cracks by splitting the mesh nodes alongside the most over-strained edges based on the principal direction of strain tensor. To prevent elements from overlapping and folding under large deformations, robust geometrical constraints using the method of Lagrange multipliers have been incorporated. In conclusion, the model has been applied to 2D simulations of the formation and propagation of cracks in brittle materials, and the fracture and fragmentation of stretched and compressed materials.},
doi = {10.1016/j.procs.2016.05.317},
journal = {Procedia Computer Science},
number = C,
volume = 80,
place = {United States},
year = {2016},
month = {6}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Cited by: 3 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
The extended/generalized finite element method: An overview of the method and its applications
journal, January 2010
- Fries, Thomas-Peter; Belytschko, Ted
- International Journal for Numerical Methods in Engineering
Finite element algorithms for contact problems
journal, December 1995
- Wriggers, P.
- Archives of Computational Methods in Engineering, Vol. 2, Issue 4
Elastic fracture in random materials
journal, April 1988
- Beale, Paul D.; Srolovitz, David J.
- Physical Review B, Vol. 37, Issue 10
A Meshless Cohesive Segments Method for Crack Initiation and Propagation in Composites
journal, April 2010
- Barbieri, Ettore; Meo, Michele
- Applied Composite Materials, Vol. 18, Issue 1
Finite element formulations for large deformation dynamic analysis
journal, January 1975
- Bathe, Klaus-Jürgen; Ramm, Ekkehard; Wilson, Edward L.
- International Journal for Numerical Methods in Engineering, Vol. 9, Issue 2
Computational modelling of impact damage in brittle materials
journal, August 1996
- Camacho, G. T.; Ortiz, M.
- International Journal of Solids and Structures, Vol. 33, Issue 20-22
Arbitrary branched and intersecting cracks with the extended finite element method
journal, January 2000
- Daux, Christophe; Mo�s, Nicolas; Dolbow, John
- International Journal for Numerical Methods in Engineering, Vol. 48, Issue 12
Numerical aspects of cohesive-zone models
journal, September 2003
- de Borst, René
- Engineering Fracture Mechanics, Vol. 70, Issue 14
The extended/generalized finite element method: An overview of the method and its applications
journal, January 2010
- Fries, Thomas-Peter; Belytschko, Ted
- International Journal for Numerical Methods in Engineering
A simple two-dimensional model for crack propagation
journal, May 1989
- Meakin, P.; Li, G.; Sander, L. M.
- Journal of Physics A: Mathematical and General, Vol. 22, Issue 9
Extended finite element method for cohesive crack growth
journal, May 2002
- Moës, Nicolas; Belytschko, Ted
- Engineering Fracture Mechanics, Vol. 69, Issue 7
Three-dimensional crack growth with hp-generalized finite element and face offsetting methods
journal, March 2010
- Pereira, J. P.; Duarte, C. A.; Jiao, X.
- Computational Mechanics, Vol. 46, Issue 3
An isogeometric approach to cohesive zone modeling
journal, December 2010
- Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René
- International Journal for Numerical Methods in Engineering, Vol. 87, Issue 1-5
Mass-conservative network model for brittle fracture
journal, August 2014
- Wei, H.; Samulyak, R.
- Journal of Coupled Systems and Multiscale Dynamics, Vol. 2, Issue 2
Numerical simulations of fast crack growth in brittle solids
journal, September 1994
- Xu, X. -P.; Needleman, A.
- Journal of the Mechanics and Physics of Solids, Vol. 42, Issue 9