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QUASI-STATIONARY THREE-DIMENSIONAL GRAIN SIZE DISTRIBUTION WITH TOPOLOGY DEPENDENCY OF GRAIN GROWTH |
WANG Chao; LIU Guoquan; YU Haibo |
School of Materials Science & Engineering; University of Science &Technology Beijing; Beijing 100083 |
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Cite this article:
WANG Chao; LIU Guoquan; YU Haibo. QUASI-STATIONARY THREE-DIMENSIONAL GRAIN SIZE DISTRIBUTION WITH TOPOLOGY DEPENDENCY OF GRAIN GROWTH. Acta Metall Sin, 2004, 40(12): 1233-1237 .
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Abstract A new topology-related individual grain growth rate equation was derived
under the assumption of the statistical grain model. It depicts that the
changing rate of grains is related to the grain size and topological
properties. The continuity equation from the particle coarsening theory
was adapted to grain growth. Based on the grain growth rate equation and
the continuity equation, an asymptotic solution was obtained. The solution
is an one-parameter family of distributions other than a unique distribution
function, which is supported by quasi-stationary grain size distributions
obtained from simulations of vertex model, surface evolver, phase-field
model and Monte Carlo method.
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Received: 10 October 2003
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[1] Hillert M. Acta Metall, 1965; 13: 227 [2] Atkinson H V. Acta Metall, 1988; 36: 469 [3] Mullins W W. J Appl Phys, 1956; 27: 900 [4] Fradkov V E, Udler D. Adv Phys,1994;43:739 [5] Yu H B. PhD Thesis, University of Science and Technology Beijing, 1997 (于海波.北京科技大学博士学位论文,1997) [6] Yu H B, Liu G Q. Chin Sci Bull, 1996; 41: 2000 (于海波,刘国权.科学通报,1996;41:2000) [7] Liu G Q, Yu H B, Song X Y, Qin X G. Mater Design,2001; 22: 33 [8] Wang C, Liu G Q. Sci Chin, 2004;47E:112 [9] Brown L C. Acta Metall, 1989; 37:71 [10] Coughlan S D, Fortes M A. Scr Metall Mater, 1993; 28:1471 [11] Weygand D, Brechet Y. Philos Mag, 1999; 79B: 703 [12] Wakai F, Enomoto N, Ogawa H. Acta Mater, 2000; 48:1297 [13] Krill C E, Chen L Q. Acta Mater, 2002; 50: 3057 [14] Song X Y, Liu G Q, Gu N J. Scr Mater, 2000; 43: 355T |
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