A comparison of different continuum approaches in modeling mixed-type dislocations in Al
Abstract
Mixed-type dislocations are common in metals and play a vital role in their plastic deformation. Key characteristics of mixed-type dislocations cannot simply be extrapolated from those of dislocations with pure edge or pure screw characters. Yet, mixed-type dislocations traditionally received disproportionately less attention in the modeling and simulation community. Here, we explore core structures of mixed-type dislocations in Al using three continuum approaches, namely, the phase-field dislocation dynamics (PFDD) method, the atomistic phase-field microelasticity (APFM) method, and the concurrent atomistic-continuum (CAC) method. Results are benchmarked against molecular statics. We advance the PFDD and APFM methods in several aspects such that they can better describe the dislocation core structure. In particular, in these two approaches, the gradient energy coefficients for mixed-type dislocations are determined based on those for pure-type ones using a trigonometric interpolation scheme, which is shown to provide better prediction than a linear interpolation scheme. The dependence of the in-slip-plane spatial numerical resolution in PFDD and CAC is also quantified.
- Authors:
-
- Univ. of California, Santa Barbara, CA (United States)
- Max-Planck-Institut für Eisenforschung GmbH, Düsseldorf (Germany); RWTH Aachen Univ. (Germany)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
- OSTI Identifier:
- 1544737
- Report Number(s):
- LA-UR-19-21670
Journal ID: ISSN 0965-0393
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Modelling and Simulation in Materials Science and Engineering
- Additional Journal Information:
- Journal Volume: 27; Journal Issue: 7; Journal ID: ISSN 0965-0393
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 97 MATHEMATICS AND COMPUTING; mixed-type dislocation; continuum modeling; face-centered cubic metal
Citation Formats
Xu, Shuozhi, Smith, Lauren, Mianroodi, Jaber R., Hunter, Abigail, Svendsen, Bob, and Beyerlein, Irene J. A comparison of different continuum approaches in modeling mixed-type dislocations in Al. United States: N. p., 2019.
Web. doi:10.1088/1361-651X/ab2d16.
Xu, Shuozhi, Smith, Lauren, Mianroodi, Jaber R., Hunter, Abigail, Svendsen, Bob, & Beyerlein, Irene J. A comparison of different continuum approaches in modeling mixed-type dislocations in Al. United States. https://doi.org/10.1088/1361-651X/ab2d16
Xu, Shuozhi, Smith, Lauren, Mianroodi, Jaber R., Hunter, Abigail, Svendsen, Bob, and Beyerlein, Irene J. Wed .
"A comparison of different continuum approaches in modeling mixed-type dislocations in Al". United States. https://doi.org/10.1088/1361-651X/ab2d16. https://www.osti.gov/servlets/purl/1544737.
@article{osti_1544737,
title = {A comparison of different continuum approaches in modeling mixed-type dislocations in Al},
author = {Xu, Shuozhi and Smith, Lauren and Mianroodi, Jaber R. and Hunter, Abigail and Svendsen, Bob and Beyerlein, Irene J.},
abstractNote = {Mixed-type dislocations are common in metals and play a vital role in their plastic deformation. Key characteristics of mixed-type dislocations cannot simply be extrapolated from those of dislocations with pure edge or pure screw characters. Yet, mixed-type dislocations traditionally received disproportionately less attention in the modeling and simulation community. Here, we explore core structures of mixed-type dislocations in Al using three continuum approaches, namely, the phase-field dislocation dynamics (PFDD) method, the atomistic phase-field microelasticity (APFM) method, and the concurrent atomistic-continuum (CAC) method. Results are benchmarked against molecular statics. We advance the PFDD and APFM methods in several aspects such that they can better describe the dislocation core structure. In particular, in these two approaches, the gradient energy coefficients for mixed-type dislocations are determined based on those for pure-type ones using a trigonometric interpolation scheme, which is shown to provide better prediction than a linear interpolation scheme. The dependence of the in-slip-plane spatial numerical resolution in PFDD and CAC is also quantified.},
doi = {10.1088/1361-651X/ab2d16},
journal = {Modelling and Simulation in Materials Science and Engineering},
number = 7,
volume = 27,
place = {United States},
year = {2019},
month = {7}
}
Web of Science
Figures / Tables:

Works referenced in this record:
Atomistic simulations of dislocation mobility in Al, Ni and Al/Mg alloys
journal, March 2005
- Olmsted, David L.; HectorJr, Louis G.; Curtin, W. A.
- Modelling and Simulation in Materials Science and Engineering, Vol. 13, Issue 3
Toward a 3D coupled atomistic and discrete dislocation dynamics simulation: dislocation core structures and Peierls stresses with several character angles in FCC aluminum
journal, June 2015
- Cho, Jaehyun; Junge, Till; Molinari, Jean-François
- Advanced Modeling and Simulation in Engineering Sciences, Vol. 2, Issue 1
Mobility law of dislocations with several character angles and temperatures in FCC aluminum
journal, March 2017
- Cho, Jaehyun; Molinari, Jean-François; Anciaux, Guillaume
- International Journal of Plasticity, Vol. 90
Atomistic calculations of dislocation core energy in aluminium
journal, February 2017
- Zhou, X. W.; Sills, R. B.; Ward, D. K.
- Physical Review B, Vol. 95, Issue 5
Dynamic behaviour of mixed dislocations in FCC metals under multi-oriented loading with molecular dynamics simulations
journal, September 2017
- Burbery, N.; Das, R.; Ferguson, W. G.
- Computational Materials Science, Vol. 137
Pressure Dependence of the Peierls Stress in Aluminum
journal, March 2018
- Dang, Khanh; Spearot, Douglas
- JOM, Vol. 70, Issue 7
Mobility of dislocations in Aluminum: Faceting and asymmetry during nanoscale dislocation shear loop expansion
journal, April 2019
- Dang, Khanh; Bamney, Darshan; Bootsita, Kanis
- Acta Materialia, Vol. 168
Modeling dislocations and heat conduction in crystalline materials: atomistic/continuum coupling approaches
journal, June 2018
- Xu, Shuozhi; Chen, Xiang
- International Materials Reviews, Vol. 64, Issue 7
Nanoindentation/scratching at finite temperatures: Insights from atomistic-based modeling
journal, February 2019
- Chavoshi, Saeed Zare; Xu, Shuozhi
- Progress in Materials Science, Vol. 100
Phase field modeling of defects and deformation
journal, February 2010
- Wang, Yunzhi; Li, Ju
- Acta Materialia, Vol. 58, Issue 4
Nanoscale phase field microelasticity theory of dislocations: model and 3D simulations
journal, June 2001
- Wang, Y. U.; Jin, Y. M.; Cuitiño, A. M.
- Acta Materialia, Vol. 49, Issue 10
Phase field model of dislocation networks
journal, May 2003
- Shen, C.; Wang, Y.
- Acta Materialia, Vol. 51, Issue 9
Incorporation of γ-surface to phase field model of dislocations: simulating dislocation dissociation in fcc crystals
journal, February 2004
- Shen, C.; Wang, Y.
- Acta Materialia, Vol. 52, Issue 3
Atomistically determined phase-field modeling of dislocation dissociation, stacking fault formation, dislocation slip, and reactions in fcc systems
journal, April 2015
- Rezaei Mianroodi, Jaber; Svendsen, Bob
- Journal of the Mechanics and Physics of Solids, Vol. 77
Predicting structure and energy of dislocations and grain boundaries
journal, August 2014
- Shen, Chen; Li, Ju; Wang, Yunzhi
- Acta Materialia, Vol. 74
Improved phase field model of dislocation intersections
journal, April 2018
- Zheng, Songlin; Zheng, Dongchang; Ni, Yong
- npj Computational Materials, Vol. 4, Issue 1
A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals
journal, December 2002
- Koslowski, M.; Cuitiño, A. M.; Ortiz, M.
- Journal of the Mechanics and Physics of Solids, Vol. 50, Issue 12
A multi-phase field model of planar dislocation networks
journal, September 2004
- Koslowski, M.; Ortiz, M.
- Modelling and Simulation in Materials Science and Engineering, Vol. 12, Issue 6
Mesoscale modeling of dislocations in molecular crystals
journal, February 2011
- Lei, Lei; Koslowski, Marisol
- Philosophical Magazine, Vol. 91, Issue 6
Effect of core energy on mobility in a continuum dislocation model
journal, March 2011
- Lee, Dong Wook; Kim, Hojin; Strachan, Alejandro
- Physical Review B, Vol. 83, Issue 10
Large-Scale 3D Phase Field Dislocation Dynamics Simulations On High-Performance Architectures
journal, November 2010
- Hunter, Abigail; Saied, Faisal; Le, Chinh
- The International Journal of High Performance Computing Applications, Vol. 25, Issue 2
Influence of the stacking fault energy surface on partial dislocations in fcc metals with a three-dimensional phase field dislocations dynamics model
journal, October 2011
- Hunter, A.; Beyerlein, I. J.; Germann, T. C.
- Physical Review B, Vol. 84, Issue 14
Understanding dislocation mechanics at the mesoscale using phase field dislocation dynamics
journal, April 2016
- Beyerlein, I. J.; Hunter, A.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 374, Issue 2066
Theoretical and computational comparison of models for dislocation dissociation and stacking fault/core formation in fcc crystals
journal, October 2016
- Mianroodi, J. R.; Hunter, A.; Beyerlein, I. J.
- Journal of the Mechanics and Physics of Solids, Vol. 95
A generalized Peierls–Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu
journal, April 2008
- Xiang, Yang; Wei, He; Ming, Pingbing
- Acta Materialia, Vol. 56, Issue 7
Coarse-grained atomistic simulation of dislocations
journal, February 2011
- Xiong, Liming; Tucker, Garritt; McDowell, David L.
- Journal of the Mechanics and Physics of Solids, Vol. 59, Issue 2
A quasistatic implementation of the concurrent atomistic-continuum method for FCC crystals
journal, September 2015
- Xu, Shuozhi; Che, Rui; Xiong, Liming
- International Journal of Plasticity, Vol. 72
Unprecedented grain size effect on stacking fault width
journal, September 2013
- Hunter, A.; Beyerlein, I. J.
- APL Materials, Vol. 1, Issue 3
Stacking fault emission from grain boundaries: Material dependencies and grain size effects
journal, April 2014
- Hunter, A.; Beyerlein, I. J.
- Materials Science and Engineering: A, Vol. 600
Phase-field-based calculations of the disregistry fields of static extended dislocations in FCC metals
journal, February 2019
- Xu, Shuozhi; Mianroodi, Jaber R.; Hunter, Abigail
- Philosophical Magazine, Vol. 99, Issue 11
Analytic model of the -surface deviation and influence on the stacking fault width between partial dislocations
journal, May 2018
- Szajewski, B. A.; Hunter, A.; Luscher, D. J.
- Computational Materials Science, Vol. 147
Peierls stress in face-centered-cubic metals predicted from an improved semi-discrete variation Peierls-Nabarro model
journal, July 2016
- Liu, Guisen; Cheng, Xi; Wang, Jian
- Scripta Materialia, Vol. 120
Reformulation of microscopic balance equations for multiscale materials modeling
journal, April 2009
- Chen, Youping
- The Journal of Chemical Physics, Vol. 130, Issue 13
Sequential slip transfer of mixed-character dislocations across Σ3 coherent twin boundary in FCC metals: a concurrent atomistic-continuum study
journal, January 2016
- Xu, Shuozhi; Xiong, Liming; Chen, Youping
- npj Computational Materials, Vol. 2, Issue 1
Comparing EAM Potentials to Model Slip Transfer of Sequential Mixed Character Dislocations Across Two Symmetric Tilt Grain Boundaries in Ni
journal, March 2017
- Xu, Shuozhi; Xiong, Liming; Chen, Youping
- JOM, Vol. 69, Issue 5
Mesh refinement schemes for the concurrent atomistic-continuum method
journal, July 2016
- Xu, Shuozhi; Xiong, Liming; Deng, Qian
- International Journal of Solids and Structures, Vol. 90
Concurrent atomistic–continuum simulations of dislocation–void interactions in fcc crystals
journal, February 2015
- Xiong, Liming; Xu, Shuozhi; McDowell, David L.
- International Journal of Plasticity, Vol. 65
Edge dislocations bowing out from a row of collinear obstacles in Al
journal, October 2016
- Xu, Shuozhi; Xiong, Liming; Chen, Youping
- Scripta Materialia, Vol. 123
An analysis of key characteristics of the Frank-Read source process in FCC metals
journal, November 2016
- Xu, Shuozhi; Xiong, Liming; Chen, Youping
- Journal of the Mechanics and Physics of Solids, Vol. 96
Coarse-grained elastodynamics of fast moving dislocations
journal, February 2016
- Xiong, Liming; Rigelesaiyin, Ji; Chen, Xiang
- Acta Materialia, Vol. 104
Sequential obstacle interactions with dislocations in a planar array
journal, August 2019
- Xu, Shuozhi; McDowell, David L.; Beyerlein, Irene J.
- Acta Materialia, Vol. 174
Shear stress- and line length-dependent screw dislocation cross-slip in FCC Ni
journal, January 2017
- Xu, Shuozhi; Xiong, Liming; Chen, Youping
- Acta Materialia, Vol. 122
A spatial decomposition parallel algorithm for a concurrent atomistic-continuum simulator and its preliminary applications
journal, March 2018
- Chen, Hao; Xu, Shuozhi; Li, Weixuan
- Computational Materials Science, Vol. 144
Validation of the Concurrent Atomistic-Continuum Method on Screw Dislocation/Stacking Fault Interactions
journal, April 2017
- Xu, Shuozhi; Xiong, Liming; Chen, Youping
- Crystals, Vol. 7, Issue 5
Interatomic potentials for monoatomic metals from experimental data and ab initio calculations
journal, February 1999
- Mishin, Y.; Farkas, D.; Mehl, M. J.
- Physical Review B, Vol. 59, Issue 5
Implicit Integration of the Time-Dependent Ginzburg--Landau Equations of Superconductivity
journal, January 2002
- Gunter, D. O.; Kaper, H. G.; Leaf, G. K.
- SIAM Journal on Scientific Computing, Vol. 23, Issue 6
Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995
- Plimpton, Steve
- Journal of Computational Physics, Vol. 117, Issue 1
PyCAC: The concurrent atomistic-continuum simulation environment
journal, January 2018
- Xu, Shuozhi; Payne, Thomas G.; Chen, Hao
- Journal of Materials Research, Vol. 33, Issue 7
Concurrent atomistic-continuum simulations of uniaxial compression of gold nano/submicropillars
journal, May 2018
- Xu, Shuozhi; Latypov, Marat I.; Su, Yanqing
- Philosophical Magazine Letters, Vol. 98, Issue 5
Dislocation core fields and forces in FCC metals
journal, April 2004
- Henager, C.
- Scripta Materialia, Vol. 50, Issue 7
Dislocation and stacking fault core fields in fcc metals
journal, December 2005
- Henager, C. H.; Hoagland, R. G.
- Philosophical Magazine, Vol. 85, Issue 36
Atomistic-to-continuum description of edge dislocation core: Unification of the Peierls-Nabarro model with linear elasticity
journal, August 2018
- Boleininger, Max; Swinburne, Thomas D.; Dudarev, Sergei L.
- Physical Review Materials, Vol. 2, Issue 8
The origin of the distinction between microscopic formulas for stress and Cauchy stress
journal, November 2016
- Chen, Youping
- EPL (Europhysics Letters), Vol. 116, Issue 3
Asymmetry of the atomic-level stress tensor in homogeneous and inhomogeneous materials
journal, September 2018
- Rigelesaiyin, Ji; Diaz, Adrian; Li, Weixuan
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 474, Issue 2217
Modeling Plastic Deformation of Nano/Submicron-Sized Tungsten Pillars Under Compression: a Coarse-Grained Atomistic Approach
journal, January 2018
- Xu, Shuozhi
- International Journal for Multiscale Computational Engineering, Vol. 16, Issue 4
Atomistic simulations of dislocation mobility in Al, Ni and Al/Mg alloys
text, January 2004
- Olmsted, David L.; Hector, Louis G.; Curtin, W. A.
- arXiv
Works referencing / citing this record:
Density functional theory calculations of generalized stacking fault energy surfaces for eight face-centered cubic transition metals
journal, September 2019
- Su, Yanqing; Xu, Shuozhi; Beyerlein, Irene J.
- Journal of Applied Physics, Vol. 126, Issue 10
Figures / Tables found in this record: