定向倾斜枝晶生长规律及竞争行为的相场法研究

王雅琴; 王锦程; 李俊杰

doi:10.7498/aps.61.118103

摘要

采用多相场模型对定向凝固过程中倾斜枝晶生长进行了研究, 模拟了单一取向枝晶列的演化规律及不同取向枝晶列汇聚生长竞争淘汰行为. 结果表明, 枝晶尖端过冷度随倾斜角度的增大而增大, 即相同条件下倾斜枝晶尖端位置总是低于非倾斜枝晶; 汇聚生长时择优取向枝晶总是阻挡非择优取向枝晶, 但在抽拉速度较低时, 由于溶质扩散场的相互重叠, 晶界处择优取向枝晶的生长受到相邻非择优枝晶的影响而延缓, 这可能导致非择优取向枝晶淘汰择优取向枝晶.

关键词:

Abstract

The multi-phase field model is employed to simulate the growth of tilted dendrites during directional solidification. In this simulation, the evolution of a single oriented dendritic array and the overgrowth behavior between two converging grains with different orientations are studied. The simulated results show that the dendritic tip undercooling increases with the tilt angle, which means that the tip position of tilted dendrite is always lower than that of the non-tilted in the same condition. The favorably oriented grain always blocks the unfavorably oriented one in the case of converging growth. However, when the pulling velocity is low, the growth of the preferred crystalline orientation dendrites at the grain boundary is lagged by the immediate unfavorably ones because of the solutal interaction, which may result in the fact that the unfavorably oriented grain overgrows the favorably oriented one.

Keywords:

作者及机构信息

1.
西北工业大学凝固技术国家重点实验室, 西安 710072

基金项目: 国家自然科学基金(批准号: 51071128, 51101124)、国家重点基础研究发展计划(批准号: 2011CB610401)、西北工业大学基础研究基金(批准号: JC201006)和凝固技术国家重点实验室自主研究基金(批准号: 67-QP-2011)资助的课题.

Authors and contacts

1.
State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 51071128, 51101124), the National Basic Research Program of China (Grant No. 2011CB610401), the Fundamental Research Fund of Northwestern Polytechnical University, China (Grant No. JC201006), and the Free Research Fund of State Key Laboratory of Solidification Processing, China (Grant No. 67-QP-2011).

参考文献

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[5]	Akamatsu S, Ihle T 1997 Phys. Rev. E 56 4479
[6]	Zhou Y Z, Volek A, Green N R 2008 Acta Mater. 56 2631
[7]	Zhou Y Z, Green N R 2008 Superalloys Champion, USA, September 14--18, 2008 p317
[8]	Zhou Y Z, Jin T, Sun X F 2010 Acta Metall. Sin. 46 1327 (in Chinese) [周亦胄, 金涛, 孙晓峰 2010 金属学报 46 1327]
[9]	Okada T, Saito Y 1996 Phys. Rev. E 54 650
[10]	Pocheau A, Deschamps J, Georgelin M 2007 JOM 59 71
[11]	Pocheau A, Deschamps J, Georgelin M 2010 Phys. Rev. E 81 1539
[12]	Yu Y M, Yang G C, Zhao D W, Lü Y L 2001 Acta Phys. Sin. 50 2423 (in Chinese) [于艳梅, 杨根仓, 赵达文, 吕衣礼 2001 50 2423]
[13]	Karma A, Sarkissian A 1996 Metall. Mater. Trans. A 27 635
[14]	Zhu Y C, Wang J C, Yang G C, Yang Y J 2007 Acta Phys. Sin. 56 5542 (in Chinese) [朱耀产, 王锦程, 杨根仓, 杨玉娟 2007 56 5542]
[15]	Folch R, Plapp M 2003 Phys. Rev. E 68 010602
[16]	Li J J, Wang J C, Xu Q, Yang G C 2007 Acta Phys. Sin. 56 1514 (in Chinese) [李俊杰, 王锦程, 许泉, 杨根仓 2007 56 1514]
[17]	Steinbach I, Pezzolla F, Nestler B 1996 Phys. D 94 135
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[19]	Yang X L, Dong H B, Wang W 2004 Mater. Sci. Eng. A 386 129
[20]	Walton D, Chalmers B 1959 Trans. Metall. Soc. AIME 215 447
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[23]	Trivedi R, Shen Y, Liu S 2003 Metall. Mater. Trans. A 34 395
[24]	Souza N D, Aradakani M G, Wagner A 2002 J. Mater. Sci. 27 481

施引文献

[1]	Tiller W A, Jackson K A, Rutter J W 1953 Acta Metall. 1 428
[2]	Mullins W W, Sekerka R K 1964 J. Appl. Phys. 35 444
[3]	Warren J A, Langer J S 1993 Phys. Rev. E 47 2702
[4]	Deschamps J, Georgelin M, Pocheau A 2008 Phys. Rev. E 78 011605
[5]	Akamatsu S, Ihle T 1997 Phys. Rev. E 56 4479
[6]	Zhou Y Z, Volek A, Green N R 2008 Acta Mater. 56 2631
[7]	Zhou Y Z, Green N R 2008 Superalloys Champion, USA, September 14--18, 2008 p317
[8]	Zhou Y Z, Jin T, Sun X F 2010 Acta Metall. Sin. 46 1327 (in Chinese) [周亦胄, 金涛, 孙晓峰 2010 金属学报 46 1327]
[9]	Okada T, Saito Y 1996 Phys. Rev. E 54 650
[10]	Pocheau A, Deschamps J, Georgelin M 2007 JOM 59 71
[11]	Pocheau A, Deschamps J, Georgelin M 2010 Phys. Rev. E 81 1539
[12]	Yu Y M, Yang G C, Zhao D W, Lü Y L 2001 Acta Phys. Sin. 50 2423 (in Chinese) [于艳梅, 杨根仓, 赵达文, 吕衣礼 2001 50 2423]
[13]	Karma A, Sarkissian A 1996 Metall. Mater. Trans. A 27 635
[14]	Zhu Y C, Wang J C, Yang G C, Yang Y J 2007 Acta Phys. Sin. 56 5542 (in Chinese) [朱耀产, 王锦程, 杨根仓, 杨玉娟 2007 56 5542]
[15]	Folch R, Plapp M 2003 Phys. Rev. E 68 010602
[16]	Li J J, Wang J C, Xu Q, Yang G C 2007 Acta Phys. Sin. 56 1514 (in Chinese) [李俊杰, 王锦程, 许泉, 杨根仓 2007 56 1514]
[17]	Steinbach I, Pezzolla F, Nestler B 1996 Phys. D 94 135
[18]	Kim S G, Kim W T, Suzuki T 2004 J. Cryst. Growth 261 135
[19]	Yang X L, Dong H B, Wang W 2004 Mater. Sci. Eng. A 386 129
[20]	Walton D, Chalmers B 1959 Trans. Metall. Soc. AIME 215 447
[21]	Burden M H, Hunt J D 1974 J. Cryst. Growth 22 99
[22]	Huang W, Geng X, Zhou Y 1993 J. Cryst. Growth 134 105
[23]	Trivedi R, Shen Y, Liu S 2003 Metall. Mater. Trans. A 34 395
[24]	Souza N D, Aradakani M G, Wagner A 2002 J. Mater. Sci. 27 481

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