Grain size distribution and topology in 3D grain growth simulation with large-scale Monte Carlo method

International Journal of Minerals, Metallurgy and Materials

Volumn 16, Issue 1, 2009, Pages 37-42

  Wang, Hao ^a   Liu, Guo quan ^a   Qin, Xiang ge ^b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

^b JIAMUSI UNIVERSITY   (China)

Author keywords

grain growth; grain size distribution; Monte Carlo simulation; three dimensional; topology

Indexed keywords

3D GRAIN GROWTH; ABOAV-WEAIRE LAW; FACE NUMBER DISTRIBUTION; GRAIN SIZE DISTRIBUTION; GRAIN VOLUME; LOG-NORMAL FUNCTIONS; MONTE CARLO ALGORITHMS; MONTE CARLO SIMULATION; NORMAL GRAIN GROWTH; POTTS MODELS; PURE IRON; QUASI-STATIONARY GRAIN SIZE DISTRIBUTION; WEIBULL FUNCTIONS;

GRAIN SIZE AND SHAPE; MONTE CARLO METHODS; SIZE DETERMINATION; SIZE DISTRIBUTION; THREE DIMENSIONAL; TOPOLOGY; WEIBULL DISTRIBUTION;

GRAIN GROWTH;

EID: 67649397421     PISSN: 16744799     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1674-4799(09)60007-8     Document Type: Article

References (20)

1. Hull F.C. Plane section and spatial chacteristics of equiaxed β-brass grains. Mater. Sci. Technol. 4 (1988) 778
2. Zhang C., Suzuki A., Ishimaru T., and Enomoto M. Characterization of three-dimensional grain structure in polycrystalline iron by serial sectioning. Metall. Mater. Trans. A 35 (2004) 1927
3. H.B. Yu, Quantitative Geometrical Characterization, Grain Growth Theories and Computer Simulation in Single-Phase Materials [Dissertation], University of Science and Technology Beijing, Beijing, 1997, p.116.
4. Weygand D., Brechet Y., Lepinoux J., and Gust W. Three-dimensional grain growth: a vertex dynamics simulation. Philos. Mag. B 79 (1999) 703
5. Wakai F., Enomoto N., and Ogawa H. Three-dimensional microstructural evolution in ideal grain growth-general statistics. Acta Mater. 48 (2000) 1297
6. Krill C.E., and Chen L.Q. Computer simulation of 3-D grain growth using a phase-field model. Acta Mater. 50 (2002) 3057
7. Wang H., Liu G.Q., and Qin X.G. Simulation study of evolution from an initial grain structure with Weibull grain size distribution. J. Univ. Sci. Technol. Beijing 30 (2008) 848 (in Chinese)
8. Wang C., and Liu G.Q. Verification of topological relationship in 2-D grain growth process by simulation. J. Univ. Sci. Technol. Beijing 11 2 (2004) 138
9. Song X.Y., and Liu G.Q. Three-dimensional and cross-sectional characteristics of normal grain growth based on Monte Carlo simulation. J. Univ. Sci. Technol. Beijing 5 3 (1998) 129
10. Song X.Y., and Liu G.Q. Discussion on the Hillert theory of normal grain growth with a modified Monte Carlo simulation. J. Univ. Sci. Technol. Beijing 4 1 (1997) 24
11. Wang C., and Liu G.Q. Reanalysis of the 3D quasi-stationary grain size distribution based on Hillert's grain growth rate equation. Sci. China Ser. E 47 (2004) 112
12. Rios P.R. Comparison between a computer simulated and an analytical grain size distribution. Scripta Mater. 40 (1999) 665
13. X.G. Qin, Study on Potts Models for Grain Growth with Different Algorithms and Parameters [Dissertation], University of Science and Technology Beijing, Beijing, 2003, p.39.
14. Wang H., Liu G.Q., and Qin X.G. Verification of 3D grain growth rate equations with large-scale Potts model Monte Carlo simulation. Acta Metall. Sin. 44 (2008) 13 (in Chinese)
15. Wang H., and Liu G.Q. Evaluation of growth rate equations of three-dimensional grains using large-scale Monte Carlo simulation. Appl. Phys. Lett. 93 (2008) 131901-131902
16. Hillert M. On the theory of normal and abnormal grain growth. Acta Metall. 13 (1965) 227
17. Weaire D. Some remarks on the arrangement of grains in a polycrystal. Metallography 7 (1974) 157
18. Lewis F.T. The correlation between cell division and the shapes and sizes of prismatic cells in the epidermis of cucumis. Anat. Rec. 38 (1928) 341
19. Rivier N. Statistical crystallography structure of random cellular networks. Phil. Mag. B 52 (1985) 795
20. Rhines F.N., and Patterson B.R. Effect of the degree of prior cold work on the grain volume distribution and the rate of grain growth of recrystallized aluminum. Metall. Trans. A 13 (1982) 985