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}
}
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