合金凝固过程元胞自动机模型及模拟方法的发展<sup>*</sup>

doi:10.3724/SP.J.1037.2013.00567

金属学报

2014, Vol. 50

Issue (6): 641-651 DOI: 10.3724/SP.J.1037.2013.00567

本期目录 | 过刊浏览

合金凝固过程元胞自动机模型及模拟方法的发展^*

赵九洲¹(

), 李璐¹, 张显飞²

1 中国科学院金属研究所, 沈阳110016
2 沈阳理工大学材料科学与工程学院, 沈阳110159

DEVELOPMENT OF CELLULAR AUTOMATON MODELS AND SIMULATION METHODS FOR SOLIDIFICATION OF ALLOYS

ZHAO Jiuzhou¹(

), LI Lu¹, ZHANG Xianfei²

1 Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016
2 School of Materials Science and Engineering, Shenyang Ligong University, Shenyang 110159

引用本文:

赵九洲, 李璐, 张显飞. 合金凝固过程元胞自动机模型及模拟方法的发展^*[J]. 金属学报, 2014, 50(6): 641-651.
Jiuzhou ZHAO, Lu LI, Xianfei ZHANG. DEVELOPMENT OF CELLULAR AUTOMATON MODELS AND SIMULATION METHODS FOR SOLIDIFICATION OF ALLOYS[J]. Acta Metall Sin, 2014, 50(6): 641-651.

全文: PDF(3006 KB) HTML

摘要:

元胞自动机(CA)是一种高效且物理意义明确的模拟方法, 能够较准确地模拟合金的凝固组织演变过程. 本文简述了合金凝固过程CA模拟方法的基本原理, 综述了合金凝固组织演变CA模型的发展历程, 分析了现存的CA模型的特点, 展望了合金凝固CA模型的未来发展方向.

关键词 ：合金, 凝固组织, 枝晶, 数值模拟, 元胞自动机

Abstract：

Dendritic structure is the most frequently observed solidification microstructure of alloys. It has a dominant effect on the mechanical properties of alloys. The formation of the dendritic microstructure has attracted extensive attentions. It has been demonstrated that numerical simulation is a powerful tool for studying the microstructure formation during the solidification of alloys. Various models, such as the front-tracking (FT) model, the phase-field (PF) model and the cellular automaton (CA) model have been proposed to simulate the formation process of dendrite. Compared with other methods, CA is an effective numerical simulation method with high calculation efficiency and clear physical meaning. It is more suitable to be applied to simulate the formation kinetics of the dendritic microstructure of alloys. It has been widely applied in the investigation of the solidification of alloys. This paper makes a detailed introduction to the common process of CA modeling and simulation, the constructing method of CA model and the calculation method for some key parameters such as nucleation rate of nuclei, growth velocity of dendrite, etc. A review of the development of the CA models for the solidification of alloys is carried out. The features and applications of the existing CA models are critically assessed. The applications of the CA models in the investigations of the practical solidification process are summarized. The problems to be solved and the future development of CA models are also pointed out.

Key words： alloy solidification microstructure dendrite numerical simulation cellular automaton

收稿日期: 2013-09-09

ZTFLH:

TG111.4

基金资助:*国家自然科学基金项目51071159, 51271185和51031003资助

作者简介: null

作者简介: 赵九洲, 男, 1962年生, 研究员

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https://www.ams.org.cn/CN/10.3724/SP.J.1037.2013.00567 或 https://www.ams.org.cn/CN/Y2014/V50/I6/641

图1 二维正方形CA体系常用邻居构型

图2 三维立方CA体系中的邻居构型[8]

图3 型壁和熔体内的非均匀形核[13]

图4 固液界面生长方向示意图

图5 2D 正方算法示意图[13]

图6 固液界面元胞固相分数计算示意图

图7 固相分数增长算法示意图

图8 Al-11.6%Cu-0.85%Mg合金定向凝固组织演变过程[59]

图9 定向凝固Al-11.6Cu-0.85Mg合金枝晶间距[59]

图10 应用不同溶质扩散系数处理方法时计算的枝晶尖端生长速度随时间的变化[59]

[1]	Wheeler A A, Murray B T, Schaefer R J. Physica, 1993; 66D: 243
[2]	Warren J A, Boettinger W J. Acta Metall Mater, 1995; 43: 689
[3]	Zhang R J, Jing T, Jie W Q, Liu B C. Acta Mater, 2006; 54: 2235
[4]	McCarthy J F, Blake N W. Acta Mater, 1996; 44: 2093
[5]	Juric D, Tryggvason G. J Comput Phys, 1996; 123: 127
[6]	Zhao P, Venere M, Heinrich J C, Porier D R. J Comput Phys, 2003; 183: 434
[7]	Liu Y, Xu Q Y, Liu B C. Tsinghua Sci Technol, 2006; 5: 495
[8]	Jiang H X, Zhao J Z. Acta Metall Sin, 2011; 47: 1099
[8]	(江鸿翔,赵九洲. 金属学报, 2011; 47: 1099)
[9]	Turnbull D J. J Chem Phys, 1952; 20: 411
[10]	Hunt J D. Mater Sci Eng, 1984; 65: 75
[11]	Stefanescu D M, Upadhya G, Bandyopadhyay D. Metall Trans, 1990; 21A: 997
[12]	Oldfield W. Trans ASM, 1966; 59: 945
[13]	Rappaz M, Gandin C A. Acta Metall Mater, 1993; 41: 345
[14]	Yao X, Dargusch M S, Dahle A K, Davidson C J, Stjohn D H. J Mater Res, 2008; 23: 2312
[15]	Cho S H, Okanem T, Umeda T. Sci Technol Adv Mater, 2002; 2: 241
[16]	Dong H B, Lee P D. Acta Metall, 2005; 53: 659
[17]	Kurz W, Giovanola B, Trivedi R. Acta Metall, 1986; 34: 823
[18]	Zhu M F, Kim J M, Hong C P. ISIJ Int, 2001; 41: 992
[19]	Sekerka R F. J Cryst Growth, 2004; 264: 530
[20]	Beltran-Sanchez L, Stefanescu D M. Metall Mater Trans, 2004; 35A: 2471
[21]	Pan S Y, Zhu M F. Acta Metall, 2010; 58: 340
[22]	Gandin C A, Rappaz M. Acta Metall Mater, 1994; 42: 2233
[23]	Rappaz M, Gandin C A, Desbiolles J L, Thevoz P. Metall Mater Trans, 1996; 27A: 695
[24]	Zhu M F, Lee S Y, Hong C P. Phys Rev, 2004; 69E: 061610
[25]	Yin H, Felicelli S D, Wang L. Acta Mater, 2011; 59: 3124
[26]	Gandin C A, Rappaz M. Acta Mater, 1997; 45: 2187
[27]	Dong H B, Lee P D. Acta Mater, 2005; 53: 659
[28]	Brown S G R, Spittle J A, Williams T. Acta Metall Mater, 1994; 42: 2893
[29]	Spittle J A, Brown S G R. J Mater Sci, 1995; 30: 3989
[30]	Gandin C A, Rappaz M, Tintillier R. Metall Mater Trans, 1993; 24: 467
[31]	Gandin C A, Desbiolles J L, Rappaz M, Thevoz P. Metall Mater Trans, 1999; 30A: 3153
[32]	Dilthey U, Pavlik V, Reichel T. In: Cerjak H, Bhadeshia H K D H eds., Mathematical Modeling of Weld Phenomena 3. London: The Institute of Materials, 1997: 85
[33]	Sasikumar R, Sreenivasan R. Acta Metall Mater, 1994; 42: 2381
[34]	Kothe D B, Mjolsness R C, Torrey M D. Ripple: A Computer Program for Incompressible Flows with Free Surface. Los Alamos: Los Alamos National Lab, 1991: 1
[35]	Beltran-Sanchez L, Stefanescu D M. Metall Mater Trans, 2003; 34A: 367
[36]	Nastac L. Acta Mater, l999; 47: 4253
[37]	Beltran-Sanchez L, Stefanescu D M. Metall Mater Trans, 2004; 35A: 2471
[38]	Zhu M F, Hong C P. ISIJ Int, 2001; 41: 436
[39]	Zhu M F, Hong C P. Phys Rev, 2002; 66: 155428
[40]	Zhu M F, Hong C P. ISIJ Int, 2002; 42: 520
[41]	Zhu M F, Dai T, Li C Y, Hong C P. Sci China E, 2005; 35E: 67
[41]	(朱鸣芳, 戴挺, 李成允, 洪俊杓. 中国科学E, 2005; 35: 673) url:
[42]	Zhu M F, Stefanescu D M. Acta Mater, 2007; 55: 1741
[43]	Li Q, Li D Z, Qian B N. Acta Metall Sin, 2004; 40: 634
[43]	(李强, 李殿中, 钱百年. 金属学报, 2004; 40: 634)
[44]	Li Q, Li D Z, Qian B N. Acta Metall Sin, 2004; 40: 1215
[44]	(李强, 李殿中, 钱百年. 金属学报, 2004; 40: 1215)
[45]	Wei L, Lin X, Wang M, Huang W D. Acta Phys Sin, 2012; 61: 098104
[45]	(魏雷, 林鑫, 王猛, 黄卫东. 物理学报, 2012; 61: 098104)
[46]	Lin X, Wei L, Shan B W, Huang W D. In: Howard J ed., Proc 5th Decennial International Conference on Solidification Processing, Sheffield: University of Sheffield, 2007: 53
[47]	Lin X, Wei L, Wang M, Huang W D. Mater Sci Forum, 2010: 654-656: 1528
[48]	Fu Z N, Xu Q Y, Xiong S M. Chin J Nonferrous Met, 2007; 17: 1567
[48]	(付振南, 许庆彦, 熊守美. 中国有色金属学报, 2007; 17: 1567)
[49]	Marek M. Physica, 2013; 253D: 73
[50]	Li D Z, Su S F, Xu X H, Wang J Q, Chen J Z, Liu Y M. Foundary, 1997; (8): 1
[50]	(李殿中, 苏仕方, 徐雪华, 王君卿, 陈家芝, 刘一鸣. 铸造, 1997; (8): 1)
[51]	Li D Z, Du Q, Hu Z Y, Li Y Y. Acta Metall Sin, 1999; 39: 1201
[51]	(李殿中, 杜强, 胡志勇, 李依依. 金属学报, 1999; 39: 1201)
[52]	Kang X H, Du Q, Li D Z. Acta Metall Sin, 2004; 40: 452
[52]	(康秀红, 杜强, 李殿中. 金属学报, 2004; 40: 452)
[53]	Yin H, Felicelli S D. Acta Mater, 2010; 58: 1455
[54]	Shi Y F, Xu Q Y, Gong M, Liu B C. Acta Metall Sin, 2011; 47: 620
[54]	(石玉峰, 许庆彦, 龚铭, 柳百成. 金属学报, 2011; 47: 620)
[55]	Zaeem M A, Yin H, Felicelli S D. J Mater Sci Technol, 2012; 28: 137
[56]	Zaeem M A, Yin H, Felicelli S D. Appl Math Modell, 2013; 37: 3495
[57]	Jarvis D J, Brown S G R, Spittle J A. Mater Sci Technol, 2000; 16: 1420
[58]	Zhu M F, Cao W, Chen S L, Hong C P, Chang Y A. J Phase Equilib Diffus, 2007; 28: 130
[59]	Zhang X F. PhD Dissertation, Institute of Metal Research, Chinese Academy of Sciences, Shenyang, 2012
[59]	(张显飞. 中国科学院金属研究所博士学位论文, 沈阳, 2012)

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