A relaxation method for the energy and morphology of grain boundaries and interfaces
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1255168
- Grant/Contract Number:
- -NA0001805; 20140348ER
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Journal of the Mechanics and Physics of Solids
- Additional Journal Information:
- Journal Name: Journal of the Mechanics and Physics of Solids Journal Volume: 94 Journal Issue: C; Journal ID: ISSN 0022-5096
- Publisher:
- Elsevier
- Country of Publication:
- United Kingdom
- Language:
- English
Citation Formats
Runnels, Brandon, Beyerlein, Irene J., Conti, Sergio, and Ortiz, Michael. A relaxation method for the energy and morphology of grain boundaries and interfaces. United Kingdom: N. p., 2016.
Web. doi:10.1016/j.jmps.2015.11.007.
Runnels, Brandon, Beyerlein, Irene J., Conti, Sergio, & Ortiz, Michael. A relaxation method for the energy and morphology of grain boundaries and interfaces. United Kingdom. https://doi.org/10.1016/j.jmps.2015.11.007
Runnels, Brandon, Beyerlein, Irene J., Conti, Sergio, and Ortiz, Michael. Thu .
"A relaxation method for the energy and morphology of grain boundaries and interfaces". United Kingdom. https://doi.org/10.1016/j.jmps.2015.11.007.
@article{osti_1255168,
title = {A relaxation method for the energy and morphology of grain boundaries and interfaces},
author = {Runnels, Brandon and Beyerlein, Irene J. and Conti, Sergio and Ortiz, Michael},
abstractNote = {},
doi = {10.1016/j.jmps.2015.11.007},
journal = {Journal of the Mechanics and Physics of Solids},
number = C,
volume = 94,
place = {United Kingdom},
year = {Thu Sep 01 00:00:00 EDT 2016},
month = {Thu Sep 01 00:00:00 EDT 2016}
}
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https://doi.org/10.1016/j.jmps.2015.11.007
https://doi.org/10.1016/j.jmps.2015.11.007
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Cited by: 17 works
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Works referenced in this record:
On a mesoscopic many-body Hamiltonian describing elastic shears and dislocations
journal, April 2010
- Luckhaus, Stephan; Mugnai, Luca
- Continuum Mechanics and Thermodynamics, Vol. 22, Issue 4
XXV. Zur Frage der Geschwindigkeit des Wachsthums und der Auflösung der Krystallflächen
journal, January 1901
- Wulff, G.
- Zeitschrift für Kristallographie - Crystalline Materials, Vol. 34, Issue 1-6
Emergence of stable interfaces under extreme plastic deformation
journal, March 2014
- Beyerlein, I. J.; Mayeur, J. R.; Zheng, S.
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 12
On the Stresses and Energies associated with Inter-Crystalline Boundaries
journal, June 1950
- Merwe, J. H. van der
- Proceedings of the Physical Society. Section A, Vol. 63, Issue 6
Selective SVM Ensembles Based on Modified BPSO
conference, December 2008
- Hong-da, Zhang; Xiao-dan, Wang; Chong-ming, Wu
- 2008 Pacific-Asia Workshop on Computational Intelligence and Industrial Application (PACIIA), 2008 IEEE Pacific-Asia Workshop on Computational Intelligence and Industrial Application
Observations of roughening/de-faceting phase transitions in grain boundaries
journal, August 1989
- Hsieh, T. E.; Balluffi, R. W.
- Acta Metallurgica, Vol. 37, Issue 8
Correlation between the energy and structure of grain boundaries in b.c.c. metals. II. Symmetrical tilt boundaries
journal, October 1990
- Wolf, D.
- Philosophical Magazine A, Vol. 62, Issue 4
Direct Methods in the Calculus of Variations
book, January 1989
- Dacorogna, Bernard
- Applied Mathematical Sciences
Disclination model of high angle grain boundaries
journal, June 1972
- Li, J. C. M.
- Surface Science, Vol. 31
The volume preserving crystalline mean curvature flow of convex sets in R N
journal, November 2009
- Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin
- Journal de Mathématiques Pures et Appliquées, Vol. 92, Issue 5
A vector thermodlnamics for anisotropic surfaces—II. Curved and faceted surfaces
journal, October 1974
- Cahn, J. l.; Hoffman, D. l.
- Acta Metallurgica, Vol. 22, Issue 10
On the Shape of Liquid Drops and Crystals in the Small Mass Regime
journal, October 2010
- Figalli, A.; Maggi, F.
- Archive for Rational Mechanics and Analysis, Vol. 201, Issue 1
Theoretical and experimental investigations of structures and energies of Σ = 3, [112] tilt grain boundaries in copper
journal, May 1998
- Schmidt, C.; Finnis, M. W.; Ernst, F.
- Philosophical Magazine A, Vol. 77, Issue 5
Dislocation Models of Crystal Grain Boundaries
journal, May 1950
- Read, W. T.; Shockley, W.
- Physical Review, Vol. 78, Issue 3
Crystalline variational problems
journal, July 1978
- Taylor, Jean E.
- Bulletin of the American Mathematical Society, Vol. 84, Issue 4
On the First Variation of a Varifold
journal, May 1972
- Allard, William K.
- The Annals of Mathematics, Vol. 95, Issue 3
Grain boundary energy function for fcc metals
journal, February 2014
- Bulatov, Vasily V.; Reed, Bryan W.; Kumar, Mukul
- Acta Materialia, Vol. 65
Structure-energy correlation for grain boundaries in f.c.c. metals—IV. Asymmetrical twist (general) boundaries
journal, May 1990
- Wolf, D.
- Acta Metallurgica et Materialia, Vol. 38, Issue 5
Soft elastic response of stretched sheets of nematic elastomers: a numerical study
journal, July 2002
- Conti, S.
- Journal of the Mechanics and Physics of Solids, Vol. 50, Issue 7
Twinnability of bimetal interfaces in nanostructured composites
journal, February 2013
- Beyerlein, I. J.; Wang, J.; Kang, K.
- Materials Research Letters, Vol. 1, Issue 2
The influence of grain boundary inclination on the structure and energy of σ = 3 grain boundaries in copper
journal, December 1992
- Wolf, U.; Ernst, F.; Muschik, T.
- Philosophical Magazine A, Vol. 66, Issue 6
Correlation between the energy and structure of grain boundaries in b.c.c. metals I. Symmetrical boundaries on the (110) and (100) planes
journal, June 1989
- Wolf, D.
- Philosophical Magazine B, Vol. 59, Issue 6
Structures and energies of Σ 3 asymmetric tilt grain boundaries in copper and aluminium
journal, August 2007
- Tschopp, M. A.; McDowell, D. L.
- Philosophical Magazine, Vol. 87, Issue 22
Structure-energy correlation for grain boundaries in F.C.C. metals—III. Symmetrical tilt boundaries
journal, May 1990
- Wolf, D.
- Acta Metallurgica et Materialia, Vol. 38, Issue 5
Structure and energy of general grain boundaries in bcc metals
journal, January 1991
- Wolf, D.
- Journal of Applied Physics, Vol. 69, Issue 1
Dynamics of grain boundaries under applied mechanical stress
journal, January 2011
- Molodov, Dmitri A.; Gorkaya, Tatiana; Gottstein, Günter
- Journal of Materials Science, Vol. 46, Issue 12
Diffuse interfaces with sharp corners and facets: Phase field models with strongly anisotropic surfaces
journal, February 1998
- Taylor, Jean E.; Cahn, John W.
- Physica D: Nonlinear Phenomena, Vol. 112, Issue 3-4
Concurrent Multiscale Computing of Deformation Microstructure by Relaxation and Local Enrichment with Application to Single‐Crystal Plasticity
journal, January 2007
- Conti, Sergio; Hauret, Patrice; Ortiz, Michael
- Multiscale Modeling & Simulation, Vol. 6, Issue 1
Interfacial structure and growth mechanisms of lath-shaped precipitates in Ni-45 wt° Cr
journal, August 1998
- Chen, J. K.; Chen, G.; Reynolds, W. T.
- Philosophical Magazine A, Vol. 78, Issue 2
Crystal shapes and phase equilibria: A common mathematical basis
journal, June 1996
- Cahn, J. W.; Carter, W. C.
- Metallurgical and Materials Transactions A, Vol. 27, Issue 6
Shape accommodation of a rotating embedded crystal via a new variational formulation
journal, January 2007
- Taylor, Jean; Cahn, John
- Interfaces and Free Boundaries
Crystal Interfaces
journal, January 1964
- Fletcher, N. H.
- Journal of Applied Physics, Vol. 35, Issue 1
An interface facet driven Rayleigh instability in high-aspect-ratio bimetallic nanolayered composites
journal, September 2014
- Zheng, Shijian; Carpenter, John S.; Wang, Jian
- Applied Physics Letters, Vol. 105, Issue 11
Coupled motion of asymmetrical tilt grain boundaries: Molecular dynamics and phase field crystal simulations
journal, November 2012
- Trautt, Z. T.; Adland, A.; Karma, A.
- Acta Materialia, Vol. 60, Issue 19
Structure, shear resistance and interaction with point defects of interfaces in Cu–Nb nanocomposites synthesized by severe plastic deformation
journal, December 2011
- Demkowicz, M. J.; Thilly, L.
- Acta Materialia, Vol. 59, Issue 20
Migration of the Σ7 tilt grain boundary in Al under an applied external stress
journal, December 2011
- Molodov, Dmitri A.; Gorkaya, Tatiana; Gottstein, Günter
- Scripta Materialia, Vol. 65, Issue 11
Structure-energy correlation for grain boundaries in F.C.C. metals—I. Boundaries on the (111) and (100) planes
journal, July 1989
- Wolf, D.
- Acta Metallurgica, Vol. 37, Issue 7
Some Theorems on the Free Energies of Crystal Surfaces
journal, April 1951
- Herring, Conyers
- Physical Review, Vol. 82, Issue 1