A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1245284
- Grant/Contract Number:
- ER25617
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Computer Methods in Applied Mechanics and Engineering
- Additional Journal Information:
- Journal Name: Computer Methods in Applied Mechanics and Engineering Journal Volume: 290 Journal Issue: C; Journal ID: ISSN 0045-7825
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
Citation Formats
Heister, Timo, Wheeler, Mary F., and Wick, Thomas. A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach. Netherlands: N. p., 2015.
Web. doi:10.1016/j.cma.2015.03.009.
Heister, Timo, Wheeler, Mary F., & Wick, Thomas. A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach. Netherlands. https://doi.org/10.1016/j.cma.2015.03.009
Heister, Timo, Wheeler, Mary F., and Wick, Thomas. Mon .
"A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach". Netherlands. https://doi.org/10.1016/j.cma.2015.03.009.
@article{osti_1245284,
title = {A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach},
author = {Heister, Timo and Wheeler, Mary F. and Wick, Thomas},
abstractNote = {},
doi = {10.1016/j.cma.2015.03.009},
journal = {Computer Methods in Applied Mechanics and Engineering},
number = C,
volume = 290,
place = {Netherlands},
year = {Mon Jun 01 00:00:00 EDT 2015},
month = {Mon Jun 01 00:00:00 EDT 2015}
}
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https://doi.org/10.1016/j.cma.2015.03.009
https://doi.org/10.1016/j.cma.2015.03.009
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Cited by: 207 works
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Works referenced in this record:
The Variational Approach to Fracture
journal, March 2008
- Bourdin, Blaise; Francfort, Gilles A.; Marigo, Jean-Jacques
- Journal of Elasticity, Vol. 91, Issue 1-3
Advances in Coupled Geomechanical and Reservoir Modeling With Applications to Reservoir Compaction
journal, September 2001
- Settari, A.; Walters, Dale A.
- SPE Journal, Vol. 6, Issue 03
A finite element method for crack growth without remeshing
journal, September 1999
- Mo�s, Nicolas; Dolbow, John; Belytschko, Ted
- International Journal for Numerical Methods in Engineering, Vol. 46, Issue 1
Numerical experiments in revisited brittle fracture
journal, April 2000
- Bourdin, B.; Francfort, G. A.; Marigo, J-J.
- Journal of the Mechanics and Physics of Solids, Vol. 48, Issue 4
A Phase-Field Method for Propagating Fluid-Filled Fractures Coupled to a Surrounding Porous Medium
journal, January 2015
- Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
- Multiscale Modeling & Simulation, Vol. 13, Issue 1
The Primal-Dual Active Set Strategy as a Semismooth Newton Method
journal, January 2002
- Hintermüller, M.; Ito, K.; Kunisch, K.
- SIAM Journal on Optimization, Vol. 13, Issue 3
A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment
journal, January 2007
- Miehe, C.; Gürses, E.
- International Journal for Numerical Methods in Engineering, Vol. 72, Issue 2
A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework
journal, May 2014
- Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.
- Computer Methods in Applied Mechanics and Engineering, Vol. 273
Pressurized-fracture Propagation Using A Phase-field Approach Coupled To A Reservoir Simulator
conference, February 2014
- Wick, Thomas; Singh, Gurpreet; Wheeler, Mary F.
- SPE Hydraulic Fracturing Technology Conference
An augmented-Lagrangian method for the phase-field approach for pressurized fractures
journal, April 2014
- Wheeler, M. F.; Wick, T.; Wollner, W.
- Computer Methods in Applied Mechanics and Engineering, Vol. 271
Variationally consistent discretization schemes and numerical algorithms for contact problems
journal, April 2011
- Wohlmuth, Barbara
- Acta Numerica, Vol. 20
Convergence of iterative coupling for coupled flow and geomechanics
journal, October 2012
- Mikelić, Andro; Wheeler, Mary F.
- Computational Geosciences, Vol. 17, Issue 3
A quasi-static phase-field approach to pressurized fractures
journal, April 2015
- Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
- Nonlinearity, Vol. 28, Issue 5
Approximation of functional depending on jumps by elliptic functional via t-convergence
journal, December 1990
- Ambrosio, Luigi; Tortorelli, Vincenzo Maria
- Communications on Pure and Applied Mathematics, Vol. 43, Issue 8
Numerical implementation of the variational formulation for quasi-static brittle fracture
journal, January 2007
- Bourdin, Blaise
- Interfaces and Free Boundaries
Revisiting brittle fracture as an energy minimization problem
journal, August 1998
- Francfort, G. A.; Marigo, J. -J.
- Journal of the Mechanics and Physics of Solids, Vol. 46, Issue 8
Stable Generalized Finite Element Method (SGFEM)
journal, January 2012
- Babuška, I.; Banerjee, U.
- Computer Methods in Applied Mechanics and Engineering, Vol. 201-204
Quasi-automatic simulation of crack propagation for 2D LEFM problems
journal, September 1996
- Bittencourt, T. N.; Wawrzynek, P. A.; Ingraffea, A. R.
- Engineering Fracture Mechanics, Vol. 55, Issue 2
Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
journal, August 2010
- Miehe, C.; Welschinger, F.; Hofacker, M.
- International Journal for Numerical Methods in Engineering, Vol. 83, Issue 10
An overview of the Trilinos project
journal, September 2005
- Heroux, Michael A.; Phipps, Eric T.; Salinger, Andrew G.
- ACM Transactions on Mathematical Software, Vol. 31, Issue 3
The anisotropy introduced by the mesh in the finite element approximation of the mumford-shah functional
journal, January 1999
- Negri, Matteo
- Numerical Functional Analysis and Optimization, Vol. 20, Issue 9-10
A phase-field description of dynamic brittle fracture
journal, April 2012
- Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A.
- Computer Methods in Applied Mechanics and Engineering, Vol. 217-220
Numerical methods for large-scale nonlinear optimization
journal, April 2005
- Gould, Nick; Orban, Dominique; Toint, Philippe
- Acta Numerica, Vol. 14
An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture
journal, January 2010
- Burke, Siobhan; Ortner, Christoph; Süli, Endre
- SIAM Journal on Numerical Analysis, Vol. 48, Issue 3
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
journal, November 2010
- Miehe, Christian; Hofacker, Martina; Welschinger, Fabian
- Computer Methods in Applied Mechanics and Engineering, Vol. 199, Issue 45-48