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Coarsening of solid particles in a solid-liquid two-phase system with high solid volume fraction is studied using the multiphase-field model. The influences of interfacial wettability and solid volume fraction on growth exponent, coarsening rate, and particle size distribution (PSD) are analyzed. It is found that the growth exponent is independent of the volume fraction, while the coarsening rate constant and the PSD are closely related to the interfacial wettability and the solid volume fraction. Under the completely wetting condition the coarsening rate constant increases with volume fraction increasing, but this variation is insignificant under the incompletely wetting condition. Moreover, when the wettability is low and volume fraction is high, the coarsening rate may also decrease with volume fraction increasing. The simulation results also show that with the increase of volume fraction, the peak frequency decreases and the PSD becomes broader, but the fall of the peak frequency under the incompletely wetting condition is slower than under the completely wetting condition. The simulation results provide an insight into the discrepancy between different experimental observations.
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Keywords:
- coarsening /
- phase transformation /
- phase field method /
- wettability
[1] Lifshitz I M, Slyozov V V 1961 J. Phys. Chem. Solids 19 35
[2] Wagner C 1961 Z. Elektrochem. 65 581
[3] Ardell A J 1972 Acta Metall. 20 61
[4] Brailsford A D, Wynblatt P 1979 Acta Metall. 27 489
[5] Voorhees P W, Glicksman M E 1984 Acta Metall. 32 2001
[6] Mardar M 1987 Phys. Rev. A 36 858
[7] Marsh S P, Glicksman M E 1996 Acta Mater. 44 3761
[8] Poirier D R, Ganesan S, Andrews M, Ocansey P 1991 Mater. Sci. Eng. A 148 289
[9] Terzi S, Salvo L, Suery M, Dahle A K, Boller E 2010 Acta Mater. 58 20
[10] Kailasam S K, Glicksman M E, Mani S S, Fradkov V E 1999 Metall. Mater. Trans. A 30 1541
[11] Hardy S C, Voorhees P W 1988 Metall. Mater. Trans. A 19 2713
[12] Bender W, Ratke L 1998 Acta Mater. 46 1125
[13] Manson-Whitton E D, Stone I C, Jone J R, Grant P S, Cantor B 2002 Acta Mater. 50 2517
[14] Yang S C, Higgins G T, Nash P 1992 Mater. Sci. Technol. 8 10
[15] Underhill R P, Grant P S, Cantor B 1993 Mater. Des. 14 45
[16] Yu Y M, Yang G C, Zhao D W, Lü Y L 2001 Acta Phys. Sin. 50 2423 (in Chinese) [于艳梅, 杨根仓, 赵达文, 吕衣礼 2001 50 2423]
[17] Zhu Y C, Wang J C, Yang G C, Yang Y J 2007 Acta Phys. Sin. 56 5542 (in Chinese) [朱耀产, 王锦程, 杨根仓, 杨玉娟2007 56 5542]
[18] Li J J, Wang J C, Xu Q, Yang G C 2007 Acta Phys. Sin. 56 1514 (in Chinese) [李俊杰, 王锦程, 许泉, 杨根仓 2007 56 1514]
[19] Warren J A, Murray B T 1996 Mode. Simul. Mater. Sci. Eng. 4 215
[20] Fan D, Chen S P, Chen L Q, Voorhees P W 2002 Acta Mater. 50 1895
[21] Wang K G, Ding X, Chang K, Chen L Q 2010 J. Appl. Phys. 107 061801
[22] Kim S G 2007 Acta Mater. 55 6513
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[1] Lifshitz I M, Slyozov V V 1961 J. Phys. Chem. Solids 19 35
[2] Wagner C 1961 Z. Elektrochem. 65 581
[3] Ardell A J 1972 Acta Metall. 20 61
[4] Brailsford A D, Wynblatt P 1979 Acta Metall. 27 489
[5] Voorhees P W, Glicksman M E 1984 Acta Metall. 32 2001
[6] Mardar M 1987 Phys. Rev. A 36 858
[7] Marsh S P, Glicksman M E 1996 Acta Mater. 44 3761
[8] Poirier D R, Ganesan S, Andrews M, Ocansey P 1991 Mater. Sci. Eng. A 148 289
[9] Terzi S, Salvo L, Suery M, Dahle A K, Boller E 2010 Acta Mater. 58 20
[10] Kailasam S K, Glicksman M E, Mani S S, Fradkov V E 1999 Metall. Mater. Trans. A 30 1541
[11] Hardy S C, Voorhees P W 1988 Metall. Mater. Trans. A 19 2713
[12] Bender W, Ratke L 1998 Acta Mater. 46 1125
[13] Manson-Whitton E D, Stone I C, Jone J R, Grant P S, Cantor B 2002 Acta Mater. 50 2517
[14] Yang S C, Higgins G T, Nash P 1992 Mater. Sci. Technol. 8 10
[15] Underhill R P, Grant P S, Cantor B 1993 Mater. Des. 14 45
[16] Yu Y M, Yang G C, Zhao D W, Lü Y L 2001 Acta Phys. Sin. 50 2423 (in Chinese) [于艳梅, 杨根仓, 赵达文, 吕衣礼 2001 50 2423]
[17] Zhu Y C, Wang J C, Yang G C, Yang Y J 2007 Acta Phys. Sin. 56 5542 (in Chinese) [朱耀产, 王锦程, 杨根仓, 杨玉娟2007 56 5542]
[18] Li J J, Wang J C, Xu Q, Yang G C 2007 Acta Phys. Sin. 56 1514 (in Chinese) [李俊杰, 王锦程, 许泉, 杨根仓 2007 56 1514]
[19] Warren J A, Murray B T 1996 Mode. Simul. Mater. Sci. Eng. 4 215
[20] Fan D, Chen S P, Chen L Q, Voorhees P W 2002 Acta Mater. 50 1895
[21] Wang K G, Ding X, Chang K, Chen L Q 2010 J. Appl. Phys. 107 061801
[22] Kim S G 2007 Acta Mater. 55 6513
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