A local crack-tracking strategy to model three-dimensional crack propagation with embedded methods
Abstract
We develop a local, implicit crack tracking approach to propagate embedded failure surfaces in three-dimensions. We build on the global crack-tracking strategy of Oliver et al. (Int J. Numer. Anal. Meth. Geomech., 2004; 28:609–632) that tracks all potential failure surfaces in a problem at once by solving a Laplace equation with anisotropic conductivity. We discuss important modifications to this algorithm with a particular emphasis on the effect of the Dirichlet boundary conditions for the Laplace equation on the resultant crack path. Algorithmic and implementational details of the proposed method are provided. Finally, several three-dimensional benchmark problems are studied and results are compared with available literature. Lastly, the results indicate that the proposed method addresses pathological cases, exhibits better behavior in the presence of closely interacting fractures, and provides a viable strategy to robustly evolve embedded failure surfaces in 3D.
- Authors:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1331473
- Alternate Identifier(s):
- OSTI ID: 1397383
- Report Number(s):
- LLNL-JRNL-696164
Journal ID: ISSN 0045-7825
- Grant/Contract Number:
- AC52-07NA27344; 15-ERD-010
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computer Methods in Applied Mechanics and Engineering
- Additional Journal Information:
- Journal Volume: 311; Journal Issue: C; Journal ID: ISSN 0045-7825
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; 3D fracture; embedded cracks; crack-tracking; X-FEM; G-FEM
Citation Formats
Annavarapu, Chandrasekhar, Settgast, Randolph R., Vitali, Efrem, and Morris, Joseph P. A local crack-tracking strategy to model three-dimensional crack propagation with embedded methods. United States: N. p., 2016.
Web. doi:10.1016/j.cma.2016.09.018.
Annavarapu, Chandrasekhar, Settgast, Randolph R., Vitali, Efrem, & Morris, Joseph P. A local crack-tracking strategy to model three-dimensional crack propagation with embedded methods. United States. https://doi.org/10.1016/j.cma.2016.09.018
Annavarapu, Chandrasekhar, Settgast, Randolph R., Vitali, Efrem, and Morris, Joseph P. Thu .
"A local crack-tracking strategy to model three-dimensional crack propagation with embedded methods". United States. https://doi.org/10.1016/j.cma.2016.09.018. https://www.osti.gov/servlets/purl/1331473.
@article{osti_1331473,
title = {A local crack-tracking strategy to model three-dimensional crack propagation with embedded methods},
author = {Annavarapu, Chandrasekhar and Settgast, Randolph R. and Vitali, Efrem and Morris, Joseph P.},
abstractNote = {We develop a local, implicit crack tracking approach to propagate embedded failure surfaces in three-dimensions. We build on the global crack-tracking strategy of Oliver et al. (Int J. Numer. Anal. Meth. Geomech., 2004; 28:609–632) that tracks all potential failure surfaces in a problem at once by solving a Laplace equation with anisotropic conductivity. We discuss important modifications to this algorithm with a particular emphasis on the effect of the Dirichlet boundary conditions for the Laplace equation on the resultant crack path. Algorithmic and implementational details of the proposed method are provided. Finally, several three-dimensional benchmark problems are studied and results are compared with available literature. Lastly, the results indicate that the proposed method addresses pathological cases, exhibits better behavior in the presence of closely interacting fractures, and provides a viable strategy to robustly evolve embedded failure surfaces in 3D.},
doi = {10.1016/j.cma.2016.09.018},
journal = {Computer Methods in Applied Mechanics and Engineering},
number = C,
volume = 311,
place = {United States},
year = {Thu Sep 29 00:00:00 EDT 2016},
month = {Thu Sep 29 00:00:00 EDT 2016}
}
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