Phase field modeling of the evolution of partical interface shape distribution during coarsening

Luo Hai-Bin; Li Jun-Jie; Ma Yuan; Guo Chun-Wen; Wang Jin-Cheng

doi:10.7498/aps.63.026401

Abstract

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.

Keywords:

Authors and contacts

1.
State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi’an 710072, China
Funds: Projet supported by National Natural Science foundation of China (Grant Nos. 51071128, 51101124), the National Basic Research Program of China (Grant No. 2011CB610401), and the Doctoral Program of Higher Education of China (Grant No. 20116102120018).

References

[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 58 S124]
[15]	Zhao D W, Li J F 2009 Acta Phys. Sin. 58 7094 (in Chinese) [赵达文, 李金富 2009 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 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 62 106402]
[22]	Kailasam S K, Glicksman M E, Mani S S, Fradkov V E 1999 Metall. Mater. Trans. A 30 1541

Cited By

[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 58 S124]
[15]	Zhao D W, Li J F 2009 Acta Phys. Sin. 58 7094 (in Chinese) [赵达文, 李金富 2009 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 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 62 106402]
[22]	Kailasam S K, Glicksman M E, Mani S S, Fradkov V E 1999 Metall. Mater. Trans. A 30 1541

[1]	Yang Hui, Feng Ze-Hua, Wang He-Ran, Zhang Yun-Peng, Chen Zheng, Xin Tian-Yuan, Song Xiao-Rong, Wu Lu, Zhang Jing. Phase-field modeling of irradiated void microstructure evolution of Fe-Cr alloy. Acta Physica Sinica, 2021, 70(5): 054601. doi: 10.7498/aps.70.20201457
[2]	Gao Chao, Yuan Jun-Jie, Cao Jin-Jun, Yang Hui-Nan, Shan Yan-Guang. Three-dimensional simulation of dual-scale deposition structures from evaporative self-assembly of nanofluid films. Acta Physica Sinica, 2019, 68(14): 140205. doi: 10.7498/aps.68.20190270
[3]	Zhang Jun, Chen Wen-Xiong, Zheng Cheng-Wu, Li Dian-Zhong. Phase-field modeling of ferrite morphology in austenite-to-ferrite transformation with considering anisotropic effects. Acta Physica Sinica, 2017, 66(7): 070701. doi: 10.7498/aps.66.070701
[4]	Zhang Hai-Chao, Zheng Dan-Chen, Bian Mao-Song, Han Min. A fluid simulation method based on two-dimensional smoothed particle hydrodynamics. Acta Physica Sinica, 2016, 65(24): 244701. doi: 10.7498/aps.65.244701
[5]	Wang Tao, Li Jun-Jie, Wang Jin-Cheng. Phase field modeling of the influence of interfacial wettability and solid volume fraction on the kinetics of coarsening. Acta Physica Sinica, 2013, 62(10): 106402. doi: 10.7498/aps.62.106402
[6]	Zhang Xian-Gang, Zong Ya-Ping, Wu Yan. A model for releasing of stored energy and microstructure evolution during recrystallization by phase-field simulation. Acta Physica Sinica, 2012, 61(8): 088104. doi: 10.7498/aps.61.088104
[7]	Wei Cheng-Yang, Li Sai-Yi. Effect of temperature gradient on grain growth behavior from phase field simulations. Acta Physica Sinica, 2011, 60(10): 100701. doi: 10.7498/aps.60.100701
[8]	Wang Ming-Guang, Zhao Yu-Hong, Ren Juan-Na, Mu Yan-Qing, Wang Wei, Yang Wei-Ming, Li Ai-Hong, Ge Hong-Hao, Hou Hua. Phase-field simulation of Non-Isothermal dendritic growth of NiCu alloy. Acta Physica Sinica, 2011, 60(4): 040507. doi: 10.7498/aps.60.040507
[9]	Zhang Xian-Gang, Zong Ya-Ping, Wang Ming-Tao, Wu Yan. A physical model to express grain boundaries in grain growth simulation by phase-field method. Acta Physica Sinica, 2011, 60(6): 068201. doi: 10.7498/aps.60.068201
[10]	Chen Gui-Bo, Wang Hong-Nian, Yao Jing-Jin, Han Zi-Ye. Three-dimensional numerical modeling of marine controlled-source electromagnetic responses in a layered anisotropic seabed using integral equation method. Acta Physica Sinica, 2009, 58(6): 3848-3857. doi: 10.7498/aps.58.3848
[11]	Long Wen-Yuan, Lü Dong-Lan, Xia Chun, Pan Mei-Man, Cai Qi-Zhou, Chen Li-Liang. Phase-field simulation of non-isothermal solidification dendrite growth of binary alloy under the force flow. Acta Physica Sinica, 2009, 58(11): 7802-7808. doi: 10.7498/aps.58.7802
[12]	Zong Ya-Ping, Wang Ming-Tao, Guo Wei. Phase field simulation on recrystallization and secondary phase precipitation under strain field. Acta Physica Sinica, 2009, 58(13): 161-S168. doi: 10.7498/aps.58.161
[13]	Chen Yun, Kang Xiu-Hong, Xiao Na-Min, Zheng Cheng-Wu, Li Dian-Zhong. Phase field modelling of grain growth in polycrystalline material. Acta Physica Sinica, 2009, 58(13): 124-S131. doi: 10.7498/aps.58.124
[14]	Chen Yu-Juan, Chen Chang-Le. Simulation of the influence of convection velocity on upstream dendritic growth using phase-field method. Acta Physica Sinica, 2008, 57(7): 4585-4589. doi: 10.7498/aps.57.4585
[15]	Lu Yang, Wang Fan, Zhu Chang-Sheng, Wang Zhi-Ping. Simulation of multiple grains for isothermal solidification of binary alloy using phase-field model. Acta Physica Sinica, 2006, 55(2): 780-785. doi: 10.7498/aps.55.780
[16]	Long Wen-Yuan, Cai Qi-Zhou, Wei Bo-Kang, Chen Li-Liang. Simulation of dendritic growth of multicomponent alloys using phase-field method. Acta Physica Sinica, 2006, 55(3): 1341-1345. doi: 10.7498/aps.55.1341
[17]	Zhang Yu-Xiang, Wang Jin-Cheng, Yang Gen-Cang, Zhou Yao-He. Phase-field simulation of the influence of elastic field on microstructure evolution and equilibrium composition of precipitation. Acta Physica Sinica, 2006, 55(5): 2433-2438. doi: 10.7498/aps.55.2433
[18]	Li Mei-E, Yang Gen-Cang, Zhou Yao-He. Phase field modeling of directional solidification of a binary alloy at high velocities. Acta Physica Sinica, 2005, 54(1): 454-459. doi: 10.7498/aps.54.454
[19]	Yang Hong, Zhang Qing-Guang, Chen Min. A phase-field simulation on the influence of thermal fluctuation on secondary branch growth in undercooled melt. Acta Physica Sinica, 2005, 54(8): 3740-3744. doi: 10.7498/aps.54.3740
[20]	YU YAN-MEI, YANG GEN-CANG, ZHAO DA-WEN, Lü YI-LI, A. KARMA, C. BECKERMANN. NUMERICAL SIMULATION OF DENDRITIC GROWTH IN UNDERCOOLED MELT USING PHASE-FIELD APPROACH. Acta Physica Sinica, 2001, 50(12): 2423-2428. doi: 10.7498/aps.50.2423

Catalog

Vol. 63, Issue 2 - 2014-01-20

Metrics

Abstract views: 6225
PDF Downloads: 502
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板