A generalized vertex dynamics model for grain growth in three dimensions

Modelling and Simulation in Materials Science and Engineering

Volumn 18, Issue 1, 2010, Pages

  Syha, M ^a   Weygand, D ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS MODELS; EMBEDDED GRAINS; ENERGY YIELDS; GENERALIZED MODELS; GENERALIZED VERTEX; ISOTROPIC GRAINS; MIS-ORIENTATION; MODEL SYSTEM; NUMERICAL RESULTS; SRTIO; THREE DIMENSIONS; THREE-DIMENSIONAL (3D); TOPOLOGICAL CHANGES; TORQUE CONTRIBUTION; VOLUME CHANGE; VON NEUMANN-MULLINS LAW;

GRAIN BOUNDARIES; GRAIN SIZE AND SHAPE; NUMERICAL ANALYSIS; THREE DIMENSIONAL;

GRAIN GROWTH;

EID: 76349109727     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/18/1/015010     Document Type: Article

References (25)

1. Anderson M P, Grest G S, Sahni P S and Srolovitz D J 1984 Computer simulation of grain growth: i. Kinetics Acta Metall. 32 783-91
2. Nordbakke M W, Ryum N and Hunderi O 2002 Invariant distributions and stationary correlation functions of simulated grain growth processes Acta Mater. 50 3661-70
3. Wang C and Liu G 2003 On the stability of grain structure with initial Weibull grain size distribution Mater. Lett. 57 4424-8
4. Ivasishin O M, Shevchenko S V, Vasiliev N L and Semiatin S L 2003 3D Monte-Carlo simulation of texture-controlled grain growth Acta Mater. 51 1019-34
5. Jannsens K G F 2003 Random grid, three-dimensional, space-time coupled cellular automata for the simulation of recrystallization and grain growth Modelling Simul. Mater. Sci. Eng. 11 157-71
6. Bernacki M, Resk H, Coupez T and Logé R E 2009 Finite element model of primary recrystallization in polycrystalline aggregates using a level set framework Modelling Simul. Mater. Sci. Eng. 17 064006
7. Krill C E III and Chen L Q 2002 Computer simulation of 3-d grain growth using a phase-field model Acta Mater. 50 3059-75
8. Suwa Y, Saito Y and Onodera H 2007 Three-dimensional phase field simulation of the effect of anisotropy in grain-boundary mobility on growth kinetics and morphology of grain structure Comput. Mater. Sci. 40 40-50
9. Moelans N, Wendler F and Nestler B 2009 Comparative study of two phase-field models for grain growth Comput. Mater. Sci. 46 479-90
10. Fuchizaki K, Kusaba T and Kawasaki K 1995 Computer modeling of three-dimensional cellular pattern growth Phil. Mag. B 71 333-57
11. Weygand D, Bréchet Y, Lépinoux J and Gust W 1999 Three dimensional grain growth: a vertex dynamics simulation Phil. Mag. B 79 703-16
12. Barrales Mora L A, Gottstein G and Shvindlerman L S 2008 Three-dimensional grain growth: analytical approaches and computer simulations Acta Mater. 56 5915-26
13. Marthinsen K, Hunderi O and Ryum N 1996 The influence of spatial grain size correlation and topology on normal grain growth in two dimensions Acta Mater. 44 1681-9 (Pubitemid 126373033)
14. Wakai F, Enomoto N and Ogawa H 2000 Three-dimensional microstructural evolution in ideal grain growth-general statistics Acta Mater. 48 1297-311
15. Kuprat A, George D, Straub G and Demirel M C 2003 Modeling microstructure evolution in three dimensions with grain3d and lagrit Comput. Mater. Sci. 28 199-208
16. Moelans N, Blanpain B and Wollants P 2008 Quantitative phase-field approach for simulating grain growth in anisotropic systems with arbitrary inclination and misorientation dependence Phys. Rev. Lett. 101 025502
17. Moelans N, Blanpain B and Wollants P 2008 Quantitative analysis of grain boundary properties in a generalized phase field model for grain growth in anisotropic systems Phys. Rev. B 78 024113
18. Gruber J, George D C, Kuprat A P, Rohrer G S and Rollett A D 2005 Effect of anisotropic grain boundary properties on grain boundary plane distributions during grain growth Scr. Mater. 53 351-55
19. Zagonel L F, Barrett N, Renault O, Bailly A, Bäurer M, Hoffmann M J, Shih S and Cockayne D 2008 Orientation-dependent surface composition of in situ annealed strontium titanate Surf. Interface. Anal. 40 1709-12
20. Bäurer M, Weygand D, Gumbsch P and Hoffmann M J 2009 Grain growth anomaly in strontium titanate Scr. Mater. 61 584-7
21. 3 at 1400 °C in air J. Am. Ceram. Soc. 86 1933-9
22. Weygand D, Bréchet Y and Lépinoux J 1999 Reduced mobility of triple nodes and lines on grain growth in two and three dimensions Interface Sci. 7 285-95
23. Herring C 1951 Some theorems on the free energies of crystal surfaces Phys. Rev. 82 87-93
24. MacPherson R D and Srolovitz D J 2007 The von Neumann relation generalized to coarsening of three-dimensional microstructures Nature 446 1053-55
25. Mullins W W 1989 Estimation of the geometrical rate constant in idealized three dimensional grain growth Acta Metall. 37 2979-84