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Three-dimensional simulations of particles coarsening in a solid-liquid two-phase system are investigated using the multiphase-field model. The evolution of the interface shape distribution during coarsening is analyzed. And the influences of the volume fraction on the interface shape distribution and coarsening rate are studied under different coalescence conditions. The simulation results show that the influence of volume fraction on the change of coarsening rate is delayed when there exists coalescence between solid particles under high volume fraction. Moreover, with the evolution of coarsening, proportion of the hyperboloid with high curvature decreases and the proportion of ellipsoid with low curvature increases. No matter whether the coalescence between particles occurs, the interface shape distribution has self-similarity after a period of time of evolution. But it will take a longer time for the system to reach the steady state with the increasing of volume fraction.
[1] Lifshitz I M, Slyozov V V 1961 J. Phys. Chem. Solids 19 35
[2] Wagner C 1961 Z. Elektrochem. 65 581
[3] Bower T F, Brody H D, Flemings M C 1966 Trans. Metall. Soc. AIME 236 624
[4] Marsh S P, Glicksman M E 1996 Acta Mater. 44 3761
[5] Poirer D R, Ganesan S, Andrews M, Ocansey P 1991 Mater. Sci. Eng. A 148 289
[6] Whisler N J, Kattamis T Z 1972 Cryst. Growth 15 20
[7] Mendoza R, Alkemper J, Voorhees P W 2003 Metall. Mater. Trans. A 34 481
[8] Mendoza R, Savin I, Thornton K, Voorhees P W 2004 Nature Mater. 3 385
[9] Mendoza R, Thornton K, Savin I, Voorhees P W 2006 Acta Mater. 54 743
[10] Kammer D, Voorhees P W 2006 Acta Mater. 54 1549
[11] Fife J L, Voorhees P W 2009 Acta Mater. 57 2418
[12] Karen Y C, Wiegart C, Wang S, Chu Y S, Liu W J 2012 Acta Mater. 60 4972
[13] Wang Z J, Wang J C, Yang G C 2010 Chin. Phys. B 19 078101
[14] Chen Y, Kang X H, Xiao N M, Zheng C W, Li D Z 2009 Acta Phys. Sin. 58 S124 ( in Chinese) [陈云, 康秀红, 肖纳敏, 郑成武, 李殿中 2009 物理学报 58 S124]
[15] Zhao D W, Li J F 2009 Acta Phys. Sin. 58 7094 (in Chinese) [赵达文, 李金富 2009 物理学报 58 7094]
[16] Zhao D P, Jing T, Liu B C 2003 Acta Phys. Sin. 52 1373 (in Chinese) [赵代平, 荆涛, 柳百成 2003 物理学报52 1373]
[17] Warren J A, Murray B T 1996 Model. Simul. Mater. Sci. Eng. 4 215
[18] Fan D, Chen S P, Chen L Q, Voorhees P W 2002 Acta Mater. 50 1895
[19] Wang K G, Ding X, Chang K, Chen L Q 2010 J. Appl. Phys. 107 061801
[20] Kim S G 2007 Acta Mater. 55 6513
[21] Wang T, Li J J, Wang J C 2013 Acta Phys. Sin. 62 106402 (in Chinese) [王陶, 李俊杰, 王锦程 2013 物理学报 62 106402]
[22] Kailasam S K, Glicksman M E, Mani S S, Fradkov V E 1999 Metall. Mater. Trans. A 30 1541
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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] Bower T F, Brody H D, Flemings M C 1966 Trans. Metall. Soc. AIME 236 624
[4] Marsh S P, Glicksman M E 1996 Acta Mater. 44 3761
[5] Poirer D R, Ganesan S, Andrews M, Ocansey P 1991 Mater. Sci. Eng. A 148 289
[6] Whisler N J, Kattamis T Z 1972 Cryst. Growth 15 20
[7] Mendoza R, Alkemper J, Voorhees P W 2003 Metall. Mater. Trans. A 34 481
[8] Mendoza R, Savin I, Thornton K, Voorhees P W 2004 Nature Mater. 3 385
[9] Mendoza R, Thornton K, Savin I, Voorhees P W 2006 Acta Mater. 54 743
[10] Kammer D, Voorhees P W 2006 Acta Mater. 54 1549
[11] Fife J L, Voorhees P W 2009 Acta Mater. 57 2418
[12] Karen Y C, Wiegart C, Wang S, Chu Y S, Liu W J 2012 Acta Mater. 60 4972
[13] Wang Z J, Wang J C, Yang G C 2010 Chin. Phys. B 19 078101
[14] Chen Y, Kang X H, Xiao N M, Zheng C W, Li D Z 2009 Acta Phys. Sin. 58 S124 ( in Chinese) [陈云, 康秀红, 肖纳敏, 郑成武, 李殿中 2009 物理学报 58 S124]
[15] Zhao D W, Li J F 2009 Acta Phys. Sin. 58 7094 (in Chinese) [赵达文, 李金富 2009 物理学报 58 7094]
[16] Zhao D P, Jing T, Liu B C 2003 Acta Phys. Sin. 52 1373 (in Chinese) [赵代平, 荆涛, 柳百成 2003 物理学报52 1373]
[17] Warren J A, Murray B T 1996 Model. Simul. Mater. Sci. Eng. 4 215
[18] Fan D, Chen S P, Chen L Q, Voorhees P W 2002 Acta Mater. 50 1895
[19] Wang K G, Ding X, Chang K, Chen L Q 2010 J. Appl. Phys. 107 061801
[20] Kim S G 2007 Acta Mater. 55 6513
[21] Wang T, Li J J, Wang J C 2013 Acta Phys. Sin. 62 106402 (in Chinese) [王陶, 李俊杰, 王锦程 2013 物理学报 62 106402]
[22] Kailasam S K, Glicksman M E, Mani S S, Fradkov V E 1999 Metall. Mater. Trans. A 30 1541
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