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  • 朱甜霞,路哲,刘文祥,高英俊.相场法模拟低体积分数下的Ostwald熟化[J].广西科学,2013,20(4):321-325.    [点击复制]
  • ZHU Tian-xia,LU Zhe,LIU Wen-xiang,GAO Ying-jun.Phase-field Simulation of Ostwald Ripening in the Low Volume Fraction Fegime[J].Guangxi Sciences,2013,20(4):321-325.   [点击复制]
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相场法模拟低体积分数下的Ostwald熟化
朱甜霞1, 路哲1, 刘文祥1, 高英俊1,2
0
(1.广西大学物理科学与工程技术学院, 广西南宁 530004;2.广西大学广西有色金属及特色材料加工重点实验室, 广西南宁 530004)
摘要:
建立低体积分数下的Ostwald熟化过程的相场模型,采用Cahn-Hilliard方程和Allen-Cahn方程控制相对密度场和长程取向场的变化,研究体积分数对生长指数m、动力学系数k和粒径分布的影响。结果表明:低体积分数(小于10%)的Ostwald熟化中,生长指数函数中的生长指数m不依赖于体积分数的变化,m=3.0;而随着体积分数的增加,动力学系数k变化不大,在k=0.003附近。随着熟化相体积分数的增加,晶粒生长尺寸分布加宽。
关键词:  低体积分数  Ostwald熟化  生长指数  相场模型
DOI:
投稿时间:2013-07-05修订日期:2013-09-29
基金项目:国家自然科学基金(51161003,50661001,50061001)、广西自然科学重点基金(2012GXNSFDA053001)、广西大学广西有色金属及特色材料加工重点实验室开放基金(GXKFJ12-01)和2012年广西大学本科实验技能与科技创新能力训练项目资助。
Phase-field Simulation of Ostwald Ripening in the Low Volume Fraction Fegime
ZHU Tian-xia1, LU Zhe1, LIU Wen-xiang1, GAO Ying-jun1,2
(1.College of Physics Science and Engineering, Guangxi University, Nanning, Guangxi, 530004, China;2.Ministry Key Laboratory for Non-ferrous Metal and Featured Materials, Guangxi University, Nanning, Guangxi, 530004, China)
Abstract:
The phase field model is established to simulate Ostwald ripening in the low volume fraction regime.The changes in the relative density field and long-range orientation field are governed by Cahn-Hilliard equation and Allen-Cahn equation to study the effects of volume fraction on the growth exponent m, the kinetic coefficient k and the size distribution.The results show that the growth exponent m is equal to 3, independent from the volume fraction, while there are little changes in the kinetic coefficient k, which is near 0.003, as the volume fraction increases.The shape of size distribution broadens with increasing volume fraction of the coarsening phase.
Key words:  low volume fraction regime  Ostwald ripening  growth exponent  phase field model

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