NUMERICAL SIMULATION OF DENDRITE GRAIN GROWTH OF DD6 SUPERALLOY DURING DIRECTIONAL SOLIDIFICATION PROCESS

doi:10.3724/SP.J.1037.2013.00496

Acta Metall Sin

2014, Vol. 50

Issue (3): 345-354 DOI: 10.3724/SP.J.1037.2013.00496

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NUMERICAL SIMULATION OF DENDRITE GRAIN GROWTH OF DD6 SUPERALLOY DURING DIRECTIONAL SOLIDIFICATION PROCESS

ZHANG Hang¹, XU Qingyan¹(

), SHI Zhenxue², LIU Baicheng¹

1 Key Laboratory for Advanced Materials Processing Technology, Ministry of Education, School of Materials Sciences and Engineering, Tsinghua University, Beijing 100084
2 National Key Laboratory of Science and Technology on Advanced High Temperature Structural Materials,Beijing Institute of Aeronautical Materials, Beijing 100095

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ZHANG Hang, XU Qingyan, SHI Zhenxue, LIU Baicheng. NUMERICAL SIMULATION OF DENDRITE GRAIN GROWTH OF DD6 SUPERALLOY DURING DIRECTIONAL SOLIDIFICATION PROCESS. Acta Metall Sin, 2014, 50(3): 345-354.

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Abstract

Modern aero and power industry needs high-performance gas turbine. Directional solidification (DS) columnar grain and single crystal (SX) blade as key parts of gas turbine serve in heavy stress and high temperature conditions. The DS and SX blade are mainly produced by high rapid solidification (HRS) method, and HRS is one of useful DS technology, which has a property that the heat dissipating ways are changing during the process and the temperature gradients will vary correspondingly. The dendrite grain arrays were the substructure of a DS or SX blade. The structure of the dendrite grain arrays influences the mechanical property of the final casting very much, but is seriously affected by the solidification parameters, such as temperature gradient. In this work, the dendrite grain growth of DD6 superalloy was studied based on cellular automaton-finite difference (CA-FD) model concerning the HRS method's macro solidification parameters. Mathematic models for dendrite grain growth controlled by temperature field and solute field were built to describe the competitive growth and morphology evolution of dendrite grains. Then the dendrite calculation model was coupled with the models of DS process calculation, and some HRS solidification parameters were included, such as withdrawal rate, pouring temperature, etc. The coupled models were used to predict the dendrite grain competitive growth of DD6 superalloy during the DS process. The variation of solute distribution and the dynamic adjustment of dendritic spacing during the process could be predicted by simulating calculation. The DS experiment was carried out with a cylinder sample, and dendrite grains' distribution in the transverse and longitude section was observed by OM and SEM. Then the simulated dendritic morphology was compared with that by experiment. The primary and secondary dendritic spacing by experiment and simulation were measured, and the compared results revealed that as the DS process going on the temperature gradient decreased gradually and the primary dendritic spacing was increasing. So simulation results of the DS dendritic competitive growth were validated by the experiment results, and the proposed models could predict the dendrite grain morphology and the adjustments of DS dendritic spacing of DD6 superalloy very well.

Key words: CA DD6 superalloy directional solidification dendrite grain growth numerical simulation

Received: 18 August 2013

ZTFLH:

TG132.3

Fund: Supported by National Basic Research Program of China (No.2011CB706801), National Natural Science Foundation of China (No.51171089) and National Science and Technology Major Project (Nos.2011ZX04014-052 and 2012ZX04012-011)

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	Hang ZHANG
	Qingyan XU
	Zhenxue SHI
	Baicheng LIU

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https://www.ams.org.cn/EN/10.3724/SP.J.1037.2013.00496 OR https://www.ams.org.cn/EN/Y2014/V50/I3/345

Fig.1

定向凝固炉简化结构示意图

Fig.2

宏微观耦合计算模型示意图

Fig.3 Schematic of linear interpolation method (x, y, z—macro grids coordinates; l, m, n—micro grids coordinates in x, y and z directions, respectively; T_Mac , T_{Macx +1}, _{TMacy +1} and T_{Macz +1}—temperature values of the macro grid present, macro grid of x+1, macro grid of y+1 and macro grid of z+1, respectively; G_x , G_y and G_z —temperature gradients in x, y and z directions, respectively; λ_x , λ_y and λ_z —micro grid lengths in x, y and z directions, respectively)

Fig.4

DD6合金棒状试样组模图

Table 1 Simulating parameters of DD6 superalloy

Fig.5

DD6合金棒状试样的耦合计算过程

Fig.6

DD6高温合金枝晶定向生长过程模拟

Fig.7

DD6高温合金枝晶定向生长溶质分布

Fig.8

DD6高温合金枝晶定向生长横截面形貌的模拟与实验对比

Fig.9

DD6高温合金枝晶竞争生长的实验与模拟对比图

Fig.10

DD6高温合金枝晶定向凝固纵向二次臂形貌的实验与模拟对比结果

Height mm	1^st arm spacing $λ 1$ / μm		2^nd arm spacing $λ 2$ / μm		G K·mm^-1
Height mm	Exp	Simul	Exp	Simul	G K·mm^-1
10	128.1	133.6	49.4	40.1	4.77
14	206.6	196.6	62.7	49.5	4.10
18	211.0	208.4	58.8	45.5	3.30
26	223.9	201.2	57.6	51.2	2.26

Table 2 Experimental and simulated results of dendritic arm spacing of DD6 superalloy

[1]	Sato A, Harada H, Yeh A, Kawagishi K. In: Reed R, Green K, Caron, Gabb T P, Fahrmann M G, Huron E S, Woodard S R eds., 11th International Symposium on Superalloys. Champion, PA: TMS, 2008: 131
[2]	Kawagishi K, Yeh A, Yokokawa T, Kobayashi T, Koizumi Y, Harada H. In: Huron E S, Reed R C, Hardy M C, Mills M J, Montero R E, Portella P D, Telesman J eds., 12th International Symposium on Superalloys. Seven Springs, PA: TMS, 2012: 443
[3]	Shi C X, Zhong Z Y. Acta Metall Sin, 1997; 33: 1
	(师昌绪, 仲增墉. 金属学报, 1997; 33: 1)
[4]	Shi C X, Zhong Z Y. Acta Metall Sin, 2010; 46: 1281
	(师昌绪, 仲增墉. 金属学报, 2010; 46: 1281)
[5]	Li J R, Zhong Z G, Tang D Z, Liu S Z, Wei P, Wei P Y, Wu Z T, Huang D. In: Pollock T M, Kissinger R D, Bowman R R, Green K A, Mclean M, Oison S, Schirra J J eds., 10th International Symposium on Superalloys. Warrendale, PA: TMS, 2000: 777
[6]	Boettinger W J, Coriell S R, Greer A L, Karma A, Kurz W, Rappaz M, Trivedi R. Acta Mater, 2000; 48: 43
[7]	Asta M, Beckermann C, Karma A, Kurz W, Napolitano R, Plapp M, Purdy G, Rappaz M, Trivedi R. Acta Mater, 2009; 57: 941
[8]	Karma A, Rappel W J. Phys Rev, 1998; 57E: 4323
[9]	Beckermann C, Diepers H J, Steinbach I, Karma A, Tong X. J Comput Phys, 1999; 154: 468
[10]	Chen L Q. Annu Rev Mater Res, 2002; 32: 113
[11]	Karma A, Rappel W J. Phys Rev, 1999; 60E: 3614
[12]	Folch R, Plapp M. Phys Rev, 2005; 72E: 011602
[13]	Kassner K, Misbah C, Muller J, Kappey J, Kohlert P. Phys Rev, 2001; 63E: 036117
[14]	Tong X, Beckermann C, Karma A, Li Q. Phys Rev, 2001; 63E: 061601
[15]	Rappaz M, Gandin C A. Acta Metall Mater, 1993; 41: 345
[16]	Kurz W, Giovanola B, Trivedi R. Acta Metall, 1986; 34: 823
[17]	Nastac L. Acta Mater, 1999; 47: 4253
[18]	Wang W, Lee P D, McLean M. Acta Mater, 2003; 51: 2971
[19]	Zhu M F, Hong C P. ISIJ Int, 2001; 41: 436
[20]	Zhu M F, Chen J, Sun G X, Hong C P. Acta Metall Sin, 2005; 41: 583
	(朱鸣芳, 陈晋, 孙国雄, 洪俊杓. 金属学报, 2005; 41: 583)
[21]	Liu B C, Xiong S M, Xu Q Y. Metall Mater Trans, 2007; 38B: 525
[22]	Shi Y F, Xu Q Y, Gong M, Liu B C. Acta Metall Sin, 2011; 47: 620
	(石玉峰, 许庆彦, 龚铭, 柳百成. 金属学报, 2011; 47: 620)
[23]	Yuan L, Lee P D. Model Simul Mater Sci Eng, 2010; 18: 055008
[24]	Jiang H X, Zhao J Z. Acta Metall Sin, 2011; 47: 1099
	(江鸿翔, 赵九洲. 金属学报, 2011; 47: 1099)
[25]	Pan S, Zhu M. Acta Mater, 2010; 58: 340
[26]	Shi Y F, Xu Q Y, Liu B C. Trans Nonferrerous Met Soc, 2012; 22: 2756
[27]	David S A, Debroy T. Science, 1992; 257: 497
[28]	Pan D, Xu Q Y, Liu B C. Acta Metall Sin, 2010; 46: 294
	(潘冬, 许庆彦, 柳百成. 金属学报, 2010; 46: 294)
[29]	Yu J, Xu Q Y, Cui K, Liu B C, Kimatsuka A, Kuroki A, Hirata A. J Mater Sci Technol, 2007; 23: 47
[30]	Pan D, Xu Q Y, Liu B C. Sci China-Phys Mech Astron, 2011; 54: 851
[31]	Pan D, Xu Q Y, Liu B C, Li J R, Yuan H L, Jin H P. JOM, 2010; 62(5): 30
[32]	Zhang H, Xu Q Y, Tang N, Pan D, Liu B C. Sci China-Technol Sci, 2011; 54: 3191
[33]	Trivedi R, Kurz W. Int Mater Rev, 1994; 39: 49
[34]	Trivedi R, Kurz W. Acta Metall Mater, 1994; 42: 15
[35]	Fu H Z,Guo J J,Liu L,Li J S. Directional Solidification and Processing of Advanced Materials. Beijing: Science Press, 2008: 525
	(傅恒志,郭景杰,刘林,李金山. 先进材料定向凝固. 北京: 科学出版社, 2008: 525)
[36]	Yu J.PhD Dissertation. Tsinghua University, Beijing, 2007
	(于靖. 清华大学博士学位论文, 北京, 2007)
[37]	Liang Z J. PhD Dissertation. Tsinghua University, Beijing, 2003
	(梁作俭. 清华大学博士学位论文, 北京, 2003)
[38]	Pan D.PhD Dissertation. Tsinghua University, Beijing, 2010
	(潘冬. 清华大学博士学位论文, 北京, 2010)
[39]	Li L, Overfelt R A. J Mater Sci, 2002; 37: 3521
[40]	Nastac L, Chou J S, Pang Y. In: Mitchell A, Ridgway L, Baldwin M eds., Proceedings of the International Symposium on Liquid Metal Processing and Casting (LMPC-1999), Warrendale, PA: TMS, 1999: 207
[41]	Zou J, Doherty R, Wang H P, Perry E M, Kaisand L R. In: Piwonka T S ed., Proceedings of the Modeling of Casting, Welding and Advanced Solidification Processes-VI, Warrendale, PA: TMS, 1993: 45.
[42]	Editorial Committee. Practical Handbook of Engineering Materials. 2nd Ed., Beijing: China Standards Press, 2002: 771
	(丛书编委会. 工程材料实用手册. 第2版, 北京: 中国标准出版社, 2002: 771)
[43]	Huang W D, Geng X G, Zhou Y H. J Cryst Growth, 1993; 134: 105
[44]	Lin X, Huang W D, Pan Q Y, Ding G L, Xue Y F, Zhou Y H. Acta Metall Sin, 1997; 33: 1140
	(林鑫, 黄卫东, 潘清跃, 丁国陆, 薛玉芳, 周尧和. 金属学报, 1997; 33: 1140)
[45]	Ding G L, Lin X, Huang W D, Zhou Y H. Acta Metall Sin, 1995; 31: 469
	(丁国陆, 林鑫, 黄卫东, 周尧和. 金属学报, 1995; 31: 469)
[46]	Halder E, Exner H E. Acta Metall, 1988; 36: 1665
[47]	Li Q, Beckermann C. Acta Mater, 1999; 47: 2345
[48]	Yoshioka H, Tada Y, Hayashi Y. Acta Mater, 2004; 52: 1515
[49]	Li Q, Beckermann C. Acta Mater, 1999; 47: 2345
[50]	Lu S, Hunt J D. J Cryst Growth, 1992; 123: 17
[51]	Kurz W,Fisher D J,translated by Mao X M,Bao G Q. Fundamentals of Solidification. Xi'an: Northwestern Polytechnical University Press, 1987: 20
	(Kurz W,Fisher D J 著,毛协民,包冠乾译. 凝固原理. 西安: 西北工业大学出版社, 1987: 20)
[52]	Bouchard D, Kirkaldy J S. Metall Mater Trans, 1997; 28B: 651
[53]	Hemings M C. Solidification Processing. New York: McGraw Hill, 1974: 1

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