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Original Articles

A vertex dynamics simulation of grain growth in two dimensions

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Pages 329-352 | Received 02 Jan 1998, Accepted 03 Feb 1998, Published online: 20 Aug 2009

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Sina Shahandeh & Matthias Militzer. (2013) Grain boundary curvature and grain growth kinetics with particle pinning. Philosophical Magazine 93:24, pages 3231-3247.
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Benoit Serre, Claire Maurice & Roland Fortunier. (2008) A flexible 3D finite element simulation of grain growth. European Journal of Computational Mechanics 17:5-7, pages 773-784.
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A. Kermanpur, W. Wang, P. D. Lee & M. McLean. (2003) Scalable, continuous variable, cellular automaton model for grain growth during homogenisation of vacuum arc remelted Inconel* 718. Materials Science and Technology 19:7, pages 859-865.
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D. Moldovan, D. Wolf, S.R. Phillpot & A.J. Haslam. (2002) Mesoscopic simulation of two-dimensional grain growth with anisotropic grain-boundary properties. Philosophical Magazine A 82:7, pages 1271-1297.
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D. Weygand, Y. Brechett & J. Lépinoux. (2000) On the nucleation of recrystallization by a bulging mechanism: A two-dimensional vertex simulation. Philosophical Magazine B 80:11, pages 1987-1996.
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D. Weygand, Y. Bréchet, J. Lépinoux & W. Gust. (1999) Three-dimensional grain growth: A vertex dynamics simulation. Philosophical Magazine B 79:5, pages 703-716.
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I. Yegorov & M. Emelianenko. (2016) A kinetic approach to modeling general-texture evolution in two-dimensional polycrystalline grain growth. Computational Materials Science 125, pages 224-242.
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Crossref
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Crossref
L.A. Barrales Mora. (2010) 2D vertex modeling for the simulation of grain growth and related phenomena. Mathematics and Computers in Simulation 80:7, pages 1411-1427.
Crossref
Emanuel A. Lazar, Robert D. MacPherson & David J. Srolovitz. (2010) A more accurate two-dimensional grain growth algorithm. Acta Materialia 58:2, pages 364-372.
Crossref
L.A. Barrales Mora, V. Mohles, G. Gottstein & L.S. Shvindlerman. 2009. Fundamentals of Modeling for Metals Processing. Fundamentals of Modeling for Metals Processing 282 296 .
M. Bäurer, D. Weygand, P. Gumbsch & M.J. Hoffmann. (2009) Grain growth anomaly in strontium titanate. Scripta Materialia 61:6, pages 584-587.
Crossref
Nele Moelans, Frank Wendler & Britta Nestler. (2009) Comparative study of two phase-field models for grain growth. Computational Materials Science 46:2, pages 479-490.
Crossref
D.M. Kirch, E. Jannot, L.A. Barrales-Mora, D.A. Molodov & G. Gottstein. (2008) Inclination dependence of grain boundary energy and its impact on the faceting and kinetics of tilt grain boundaries in aluminum. Acta Materialia 56:18, pages 4998-5011.
Crossref
K. Piękoś, J. Tarasiuk, K. Wierzbanowski & B. Bacroix. (2008) Generalized vertex model of recrystallization – Application to polycrystalline copper. Computational Materials Science 42:4, pages 584-594.
Crossref
K. Piękoś, J. Tarasiuk, K. Wierzbanowski & B. Bacroix. (2008) Stochastic vertex model of recrystallization. Computational Materials Science 42:1, pages 36-42.
Crossref
Krystian Piękoś, Jacek Tarasiuk, Krzysztof Wierzbanowski & Brigitte Bacroix. (2007) Generalized Vertex Model - Study of Recrystallization in Copper. Materials Science Forum 558-559, pages 1157-1162.
Crossref
Ola Hunderi, Knut Marthinsen & Nils Ryum. (2007) On the Validation of the Monte Carlo Technique in Simulation of Grain Growth in Small, Two-Dimensional Systems. Materials Science Forum 558-559, pages 1087-1092.
Crossref
Yoshihiro Suwa, Yoshiyuki Saito & Hidehiro Onodera. (2007) Three-dimensional phase field simulation of the effect of anisotropy in grain-boundary mobility on growth kinetics and morphology of grain structure. Computational Materials Science 40:1, pages 40-50.
Crossref
L.A. Barrales-Mora, V. Mohles, P.J. Konijnenberg & D.A. Molodov. (2007) A novel implementation for the simulation of 2-D grain growth with consideration to external energetic fields. Computational Materials Science 39:1, pages 160-165.
Crossref
Clinton DeW. Van Siclen. (2007) Spatial correlation of high-energy grain boundaries in two-dimensional simulated polycrystals. Acta Materialia 55:3, pages 983-989.
Crossref
Dmitri A. Molodov, Christian Bollmann, Peter J. Konijnenberg, Luis A. Barrales-Mora & Volker Mohles. (2007) Annealing Texture and Microstructure Evolution in Titanium during Grain Growth in an External Magnetic Field. MATERIALS TRANSACTIONS 48:11, pages 2800-2808.
Crossref
D. Moldovan & D. Wolf. 2007. Multiscale Materials Modelling. Multiscale Materials Modelling 84 120 .
G. Gottstein, D. A. Molodov & L. S. Shvindlerman. (2006) Kinematics, dynamics, and microstructural effects of grain boundary junctions. Journal of Materials Science 41:23, pages 7730-7740.
Crossref
D. A. Molodov, P. J. Konijnenberg, L. A. Barrales-Mora & V. Mohles. (2006) Magnetically controlled microstructure evolution in non-ferromagnetic metals. Journal of Materials Science 41:23, pages 7853-7861.
Crossref
Yizhu He, Hanlin Ding, Liufa Liu & Keesam Shin. (2006) Computer simulation of 2D grain growth using a cellular automata model based on the lowest energy principle. Materials Science and Engineering: A 429:1-2, pages 236-246.
Crossref
Y. J. Lan, D. Z. Li & Y. Y. Li. (2006) A mesoscale cellular automaton model for curvature-driven grain growth. Metallurgical and Materials Transactions B 37:1, pages 119-129.
Crossref
Yves Bréchet & Christopher Hutchinson. 2006. Solid State Physics - Advances in Research and Applications. Solid State Physics - Advances in Research and Applications 181 287 .
K. Piękoś, Jacek Tarasiuk, Krzysztof Wierzbanowski, Ph. Gerber & Brigitte Bacroix. (2005) Monte-Carlo Version of Vertex Model Applied to Recrystallization Modeling. Materials Science Forum 495-497, pages 1183-1188.
Crossref
Chad W. Sinclair, D. Weygand, J. Lépinoux & Yves Bréchet. (2004) Simulating the Topology of Recrystallization in Stabilized Ferritic Stainless Steels. Materials Science Forum 467-470, pages 671-676.
Crossref
K. Piękoś, Jacek Tarasiuk, Krzysztof Wierzbanowski & Brigitte Bacroix. (2004) Development of Two-Dimensional Vertex Type Model. Materials Science Forum 467-470, pages 653-658.
Crossref
D. Weygand, J. Lépinoux & Yves Bréchet. (2004) On the Nucleation of Abnormal Grain Growth: A 2D Vertex Simulation. Materials Science Forum 467-470, pages 1123-1128.
Crossref
J.S. Chen, V. Kotta, H. Lu, D. Wang, D. Moldovan & D. Wolf. (2004) A variational formulation and a double-grid method for meso-scale modeling of stressed grain growth in polycrystalline materials. Computer Methods in Applied Mechanics and Engineering 193:12-14, pages 1277-1303.
Crossref
P.R Rios. (2004) Irreversible thermodynamics, parabolic law and self-similar state in grain growth. Acta Materialia 52:1, pages 249-256.
Crossref
. 2004. Recrystallization and Related Annealing Phenomena. Recrystallization and Related Annealing Phenomena 557 615 .
Chao Wang & Guoquan Liu. (2003) On the stability of grain structure with initial Weibull grain size distribution. Materials Letters 57:28, pages 4424-4428.
Crossref
Byung-Nam Kim, Keijiro Hiraga & Koji Morita. (2003) Kinetics of Normal Grain Growth Depending on the Size Distribution of Small Grains. MATERIALS TRANSACTIONS 44:11, pages 2239-2244.
Crossref
Dorel Moldovan, Dieter Wolf, Simon R. Phillpot & Andrew J. Haslam. 2003. Trends in Nanoscale Mechanics. Trends in Nanoscale Mechanics 35 59 .
D. Moldovan, D. Wolf, S.R. Phillpot & A.J. Haslam. (2002) Role of grain rotation during grain growth in a columnar microstructure by mesoscale simulation. Acta Materialia 50:13, pages 3397-3414.
Crossref
C.E. Krill III & L.-Q. Chen. (2002) Computer simulation of 3-D grain growth using a phase-field model. Acta Materialia 50:12, pages 3059-3075.
Crossref
A.J. Haslam, D. Moldovan, S.R. Phillpot, D. Wolf & H. Gleiter. (2002) Combined atomistic and mesoscale simulation of grain growth in nanocrystalline thin films. Computational Materials Science 23:1-4, pages 15-32.
Crossref
C. H. Wörner, A. Olguin, M. Ortiz & O. Herrera. (2002) Cell growth in a pinned soap froth. Physical Review E 65:2.
Crossref
P.R Rios, G Gottstein & L.S Shvindlerman. (2001) Application of the Thermodynamic Theory of irreversible processes to normal grain growth. Scripta Materialia 44:6, pages 893-897.
Crossref
J Lépinoux & Y Estrin. (2000) Mechanical behaviour of alloys containing heterogeneously distributed particles: modelling with Delaunay triangulation. Acta Materialia 48:17, pages 4337-4347.
Crossref
D Weygand, Y Bréchet & J Lépinoux. (2000) Inhibition of grain growth by particle distribution: effect of spatial heterogeneities and of particle strength dispersion. Materials Science and Engineering: A 292:1, pages 34-39.
Crossref
Byung-Nam Kim. (2000) Two-dimensional finite element simulation of grain boundary migration for embedded symmetric grains. Computational Materials Science 18:2, pages 177-184.
Crossref
Byung-Nam Kim. (2000) Two-dimensional simulation of grain growth based on an atomic jump model for grain boundary migration. Materials Science and Engineering: A 283:1-2, pages 164-171.
Crossref
D. Weygand, Y. Bréchet & J. Lépinoux. (1998) Influence of a reduced mobility of triple points on grain growth in two dimensions. Acta Materialia 46:18, pages 6559-6564.
Crossref

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