An extended/generalized phase-field finite element method for crack growth with global-local enrichment
Abstract
Abstract not provided.
- Authors:
-
[1]
- Duke Univ., Durham, NC (United States)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1607510
- Alternate Identifier(s):
- OSTI ID: 1601915; OSTI ID: 1618081
- Report Number(s):
- SAND-2020-0230J; SAND-2019-12217J
Journal ID: ISSN 0029-5981; 681805
- Grant/Contract Number:
- AC04-94AL85000; NA0003525
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal for Numerical Methods in Engineering
- Additional Journal Information:
- Journal Volume: 121; Journal Issue: 11; Journal ID: ISSN 0029-5981
- Publisher:
- Wiley
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; crack growth; extended/generalized FEM; global-local analysis; gradient damage models; multiscale; phase-fields
Citation Formats
Geelen, Rudy, Plews, Julia, Tupek, Michael, and Dolbow, John. An extended/generalized phase-field finite element method for crack growth with global-local enrichment. United States: N. p., 2020.
Web. doi:10.1002/nme.6318.
Geelen, Rudy, Plews, Julia, Tupek, Michael, & Dolbow, John. An extended/generalized phase-field finite element method for crack growth with global-local enrichment. United States. https://doi.org/10.1002/nme.6318
Geelen, Rudy, Plews, Julia, Tupek, Michael, and Dolbow, John. Wed .
"An extended/generalized phase-field finite element method for crack growth with global-local enrichment". United States. https://doi.org/10.1002/nme.6318. https://www.osti.gov/servlets/purl/1607510.
@article{osti_1607510,
title = {An extended/generalized phase-field finite element method for crack growth with global-local enrichment},
author = {Geelen, Rudy and Plews, Julia and Tupek, Michael and Dolbow, John},
abstractNote = {Abstract not provided.},
doi = {10.1002/nme.6318},
journal = {International Journal for Numerical Methods in Engineering},
number = 11,
volume = 121,
place = {United States},
year = {Wed Feb 05 00:00:00 EST 2020},
month = {Wed Feb 05 00:00:00 EST 2020}
}
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Works referenced in this record:
Gradient damage modeling of brittle fracture in an explicit dynamics context: GRADIENT DAMAGE MODELING OF BRITTLE FRACTURE IN AN EXPLICIT DYNAMICS CONTEXT
journal, May 2016
- Li, Tianyi; Marigo, Jean-Jacques; Guilbaud, Daniel
- International Journal for Numerical Methods in Engineering, Vol. 108, Issue 11
Parallel simulations of three-dimensional cracks using the generalized finite element method
journal, October 2010
- Kim, D. -J.; Duarte, C. A.; Sobh, N. A.
- Computational Mechanics, Vol. 47, Issue 3
Analysis of Interacting Cracks Using the Generalized Finite Element Method With Global-Local Enrichment Functions
journal, July 2008
- Kim, Dae-Jin; Duarte, Carlos Armando; Pereira, Jeronymo Peixoto
- Journal of Applied Mechanics, Vol. 75, Issue 5
Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture
journal, July 2016
- Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A.
- Computer Methods in Applied Mechanics and Engineering, Vol. 306
Stable GFEM (SGFEM): Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
journal, June 2015
- Gupta, V.; Duarte, C. A.; Babuška, I.
- Computer Methods in Applied Mechanics and Engineering, Vol. 289
An adaptive global–local approach for phase-field modeling of anisotropic brittle fracture
journal, April 2020
- Noii, Nima; Aldakheel, Fadi; Wick, Thomas
- Computer Methods in Applied Mechanics and Engineering, Vol. 361
Multi-scale computational homogenization: Trends and challenges
journal, August 2010
- Geers, M. G. D.; Kouznetsova, V. G.; Brekelmans, W. A. M.
- Journal of Computational and Applied Mathematics, Vol. 234, Issue 7
Linear and nonlinear solvers for variational phase-field models of brittle fracture: NUMERICAL SOLUTION OF A VARIATIONAL FRACTURE MODEL
journal, July 2016
- Farrell, Patrick; Maurini, Corrado
- International Journal for Numerical Methods in Engineering, Vol. 109, Issue 5
Improved implementation and robustness study of the X-FEM for stress analysis around cracks
journal, January 2005
- Béchet, E.; Minnebo, H.; Moës, N.
- International Journal for Numerical Methods in Engineering, Vol. 64, Issue 8
The issues of the uniqueness and the stability of the homogeneous response in uniaxial tests with gradient damage models
journal, June 2011
- Pham, Kim; Marigo, Jean-Jacques; Maurini, Corrado
- Journal of the Mechanics and Physics of Solids, Vol. 59, Issue 6
On degradation functions in phase field fracture models
journal, October 2015
- Kuhn, Charlotte; Schlüter, Alexander; Müller, Ralf
- Computational Materials Science, Vol. 108
On penalization in variational phase-field models of brittle fracture
journal, September 2019
- Gerasimov, T.; De Lorenzis, L.
- Computer Methods in Applied Mechanics and Engineering, Vol. 354
Iterative global/local finite element analysis
journal, January 1991
- Whitcomb, J. D.
- Computers & Structures, Vol. 40, Issue 4
Elastic crack growth in finite elements with minimal remeshing
journal, June 1999
- Belytschko, T.; Black, T.
- International Journal for Numerical Methods in Engineering, Vol. 45, Issue 5
From diffuse damage to sharp cohesive cracks: A coupled XFEM framework for failure analysis of quasi-brittle materials
journal, February 2016
- Wang, Yongxiang; Waisman, Haim
- Computer Methods in Applied Mechanics and Engineering, Vol. 299
The design and analysis of the Generalized Finite Element Method
journal, January 2000
- Strouboulis, T.; Babuška, I.; Copps, K.
- Computer Methods in Applied Mechanics and Engineering, Vol. 181, Issue 1-3
Extended finite element method for three-dimensional crack modelling
journal, January 2000
- Sukumar, N.; Mo�s, N.; Moran, B.
- International Journal for Numerical Methods in Engineering, Vol. 48, Issue 11
Phase-Field Model of Mode III Dynamic Fracture
journal, July 2001
- Karma, Alain; Kessler, David A.; Levine, Herbert
- Physical Review Letters, Vol. 87, Issue 4
The Partition of Unity Method
journal, February 1997
- BabuŠKa, I.; Melenk, J. M.
- International Journal for Numerical Methods in Engineering, Vol. 40, Issue 4
A method for growing multiple cracks without remeshing and its application to fatigue crack growth
journal, July 2004
- Zi, Goangseup; Song, Jeong-Hoon; Budyn, Elisa
- Modelling and Simulation in Materials Science and Engineering, Vol. 12, Issue 5
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
The stable XFEM for two-phase flows
journal, October 2013
- Sauerland, Henning; Fries, Thomas-Peter
- Computers & Fluids, Vol. 87
A non-intrusive global/local approach applied to phase-field modeling of brittle fracture
journal, May 2018
- Gerasimov, Tymofiy; Noii, Nima; Allix, Olivier
- Advanced Modeling and Simulation in Engineering Sciences, Vol. 5, Issue 1
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
Crack nucleation in variational phase-field models of brittle fracture
journal, January 2018
- Tanné, E.; Li, T.; Bourdin, B.
- Journal of the Mechanics and Physics of Solids, Vol. 110
An overview of the modelling of fracture by gradient damage models
journal, October 2016
- Marigo, Jean-Jacques; Maurini, Corrado; Pham, Kim
- Meccanica, Vol. 51, Issue 12
Extended finite element method in computational fracture mechanics: a retrospective examination
journal, November 2015
- Sukumar, N.; Dolbow, J. E.; Moës, N.
- International Journal of Fracture, Vol. 196, Issue 1-2
An Adaptive Finite Element Approximation of a Generalized Ambrosio–Tortorelli Functional
journal, May 2013
- Burke, Siobhan; Ortner, Christoph; SÜLi, Endre
- Mathematical Models and Methods in Applied Sciences, Vol. 23, Issue 09
A hybrid XFEM –Phase field ( Xfield ) method for crack propagation in brittle elastic materials
journal, June 2017
- Giovanardi, Bianca; Scotti, Anna; Formaggia, Luca
- Computer Methods in Applied Mechanics and Engineering, Vol. 320
A unified enrichment approach addressing blending and conditioning issues in enriched finite elements
journal, June 2019
- Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A.
- Computer Methods in Applied Mechanics and Engineering, Vol. 349
The multiscale finite element method for nonlinear continuum localization problems at full fine-scale fidelity, illustrated through phase-field fracture and plasticity
journal, November 2019
- Nguyen, Lam H.; Schillinger, Dominik
- Journal of Computational Physics, Vol. 396
The variational multiscale method—a paradigm for computational mechanics
journal, November 1998
- Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca
- Computer Methods in Applied Mechanics and Engineering, Vol. 166, Issue 1-2
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
Global-local methodologies and their application to nonlinear analysis
journal, December 1986
- Noor, Ahmed K.
- Finite Elements in Analysis and Design, Vol. 2, Issue 4
The Variational Approach to Fracture
journal, March 2008
- Bourdin, Blaise; Francfort, Gilles A.; Marigo, Jean-Jacques
- Journal of Elasticity, Vol. 91, Issue 1-3
Analysis of three-dimensional fracture mechanics problems: A two-scale approach using coarse-generalized FEM meshes
journal, January 2009
- Kim, D. -J.; Pereira, J. P.; Duarte, C. A.
- International Journal for Numerical Methods in Engineering
A two-scale generalized finite element approach for modeling localized thermoplasticity: A two-scale generalized finite element approach for modeling localized thermoplasticity
journal, March 2016
- Plews, J. A.; Duarte, C. A.
- International Journal for Numerical Methods in Engineering, Vol. 108, Issue 10
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
Free discontinuity finite element models in two-dimensions for in-plane crack problems
journal, June 2007
- Fraternali, F.
- Theoretical and Applied Fracture Mechanics, Vol. 47, Issue 3
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
An adaptive multiscale phase field method for brittle fracture
journal, February 2018
- Patil, R. U.; Mishra, B. K.; Singh, I. V.
- Computer Methods in Applied Mechanics and Engineering, Vol. 329
A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
journal, November 2013
- Gupta, V.; Duarte, C. A.; Babuška, I.
- Computer Methods in Applied Mechanics and Engineering, Vol. 266
Improved Crack tip Enrichment Functions and Integration for Crack Modeling Using the Extended Finite Element Method
journal, January 2013
- Chevaugeon, Nicolas; Moes, Nicolas; Minnebo, Hans
- International Journal for Multiscale Computational Engineering, Vol. 11, Issue 6
A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media
journal, June 1997
- Hou, Thomas Y.; Wu, Xiao-Hui
- Journal of Computational Physics, Vol. 134, Issue 1
A new multiscale phase field method to simulate failure in composites
journal, December 2018
- Patil, R. U.; Mishra, B. K.; Singh, I. V.
- Advances in Engineering Software, Vol. 126
An h-p adaptive method using clouds
journal, December 1996
- Duarte, C. Armando; Oden, J. Tinsley
- Computer Methods in Applied Mechanics and Engineering, Vol. 139, Issue 1-4
A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
journal, June 2015
- Heister, Timo; Wheeler, Mary F.; Wick, Thomas
- Computer Methods in Applied Mechanics and Engineering, Vol. 290
A variational multiscale method to model crack propagation at finite strains
journal, October 2009
- Mergheim, J.
- International Journal for Numerical Methods in Engineering, Vol. 80, Issue 3
Bridging multiple structural scales with a generalized finite element method: BRIDGING SCALES WITH GFEM
journal, June 2014
- Plews, J. A.; Duarte, C. A.
- International Journal for Numerical Methods in Engineering, Vol. 102, Issue 3-4
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
Generalized finite element methods for three-dimensional structural mechanics problems
journal, June 2000
- Duarte, C. A.; Babuška, I.; Oden, J. T.
- Computers & Structures, Vol. 77, Issue 2
The partition of unity finite element method: Basic theory and applications
journal, December 1996
- Melenk, J. M.; Babuška, I.
- Computer Methods in Applied Mechanics and Engineering, Vol. 139, Issue 1-4
Gradient Damage Models and Their Use to Approximate Brittle Fracture
journal, November 2010
- Pham, Kim; Amor, Hanen; Marigo, Jean-Jacques
- International Journal of Damage Mechanics, Vol. 20, Issue 4
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
High-accuracy phase-field models for brittle fracture based on a new family of degradation functions
journal, February 2018
- Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga
- Journal of the Mechanics and Physics of Solids, Vol. 111
Eigenfracture: An Eigendeformation Approach to Variational Fracture
journal, January 2009
- Schmidt, Bernd; Fraternali, Fernando; Ortiz, Michael
- Multiscale Modeling & Simulation, Vol. 7, Issue 3
A phase-field formulation for dynamic cohesive fracture
journal, May 2019
- Geelen, Rudy J. M.; Liu, Yingjie; Hu, Tianchen
- Computer Methods in Applied Mechanics and Engineering, Vol. 348
An optimization-based phase-field method for continuous-discontinuous crack propagation: A phase-field method for continuous-discontinuous crack propagation
journal, July 2018
- Geelen, Rudy J. M.; Liu, Yingjie; Dolbow, John E.
- International Journal for Numerical Methods in Engineering, Vol. 116, Issue 1
Numerical minimization¶of the Mumford-Shah functional
journal, June 2001
- Negri, M.; Paolini, M.
- Calcolo, Vol. 38, Issue 2
Generalized finite element approaches for analysis of localized thermo-structural effects: Generalized finite element approaches for analysis of localized thermo-structural effects
journal, June 2015
- Plews, J. A.; Duarte, C. A.
- International Journal for Numerical Methods in Engineering, Vol. 104, Issue 6
A variational multiscale approach to strain localization – formulation for multidimensional problems
journal, July 2000
- Garikipati, K.; Hughes, T. J. R.
- Computer Methods in Applied Mechanics and Engineering, Vol. 188, Issue 1-3
Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities
journal, November 2016
- Zhang, Qinghui; Babuška, Ivo; Banerjee, Uday
- Computer Methods in Applied Mechanics and Engineering, Vol. 311
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
Implementation of an adaptive finite-element approximation of the Mumford-Shah functional
journal, June 2000
- Bourdin, Blaise; Chambolle, Antonin
- Numerische Mathematik, Vol. 85, Issue 4
Analysis and improvements of global–local enrichments for the Generalized Finite Element Method
journal, October 2012
- Gupta, Varun; Kim, Dae-Jin; Duarte, C. Armando
- Computer Methods in Applied Mechanics and Engineering, Vol. 245-246
Analysis and applications of a generalized finite element method with global–local enrichment functions
journal, January 2008
- Duarte, C. A.; Kim, D. -J.
- Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issue 6-8