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Title: 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:
 [1];  [1];  [1];  [2];  [1]
  1. Stony Brook Univ., Stony Brook, NY (United States)
  2. Stony Brook Univ., Stony Brook, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (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. doi: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. doi: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}
}

Journal Article:
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