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A 2D model is developed to investigate the grain growth behavior under the influence of temperature gradient using the phase field method. The model is used to simulate the effect of temperature gradient on the nonuniform and directional grain growth behavior during annealing of polycrystalline materials. The results show that the static temperature gradient leads to the nonumiform grain growth, and that the grain growth exponent deviates from that of normal grain growth. In the case of annealing with a moving temperature gradient, the columnar grains may develop towards the locations with the highest temperature in the heated zone. Moreover, the grain growth behavior is closely related to the moving speed of the moving heated zone. Columnar grains occur only when the moving speed of the heated zone is higher than the minimum grain growth rate but lower than the maximum grain growth rate.
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Keywords:
- grain growth /
- phase field method /
- grain boundary mobility /
- zone annealing
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[38] Fan D, Chen L Q, Chen S P 1997 Mater. Sci. Eng. A 238 78
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[46] [47] Anderson M P, Srolovitz D J, Grest G S, Sahni P S 1984 Acta Metal. 32 783
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[51] -
[1] Doherty R D, Hughes D A, Humphreys F J, Jonas J J, Juul Jensen D, Kassner M E, King W E, McNelley T R, McQueen H J, Rollett A D 1997 Mater. Sci. Eng. A 238 219
[2] Humphreys F J, Hatherly M 2004 Recrystallization and related annealing phenomena (second edition) (Oxford: Elsevier) pp121-167
[3] [4] [5] Li J, Johns S L, Iliescu B M, Frost H J, Baker I 2002 Acta Mater. 50 4491
[6] Baker I, Li J 2002 Acta Mater. 50 805
[7] [8] Rollett A D, Srolovitz D J, Anderson M P 1989 Acta Mater. 37 1227
[9] [10] [11] Holm E A, Zacharopoulos N, Srolovitz D J 1998 Acta Mater. 46 953
[12] [13] Simmons J P, Wen Y H, Shen C, Wang Y Z 2003 Mater. Sci. Eng. A 365 136
[14] Chen L Q 1995 Scripta Metall. Mater. 32 115
[15] [16] Li J J, Wang J C, Yang G C 2008 Chin. Phys. B 17 3516
[17] [18] [19] Gao Y J, Zhang H L, Jin X, Huang C G, Luo Z R 2009 Acta Metall. Sin. 45 1190 (in Chinese) [高英俊、张海林、金星 、黄创高、罗志荣 2009 金属学报 45 1190]
[20] [21] Lu Y, Beckermanm C, Ramirez J C 2005 J. Crys. Grow. 280 320
[22] [23] Moelans N 2006 Ph. D. Dissertation (Leuven: Katholieke Universiteit Leuven)
[24] Yang H, Zhang Q G, Chen M 2005 Acta Phys. Sin. 54 3740 (in Chinese) [杨 弘、张清光、陈 民 2005 物理学报 54 3740]
[25] [26] Moelans N, Blanpain B, Wollants P 2008 Phys. Rev. Let. 101 025502
[27] [28] Kazaryan A, Wang Y, Dregia S A, Patton B R 2002 Acta Mater. 50 2491
[29] [30] Chan J W, Hilliard J E 1958 J. Chem. Phy. 28 258
[31] [32] [33] Encyclopedia Britannica (Encyclopedia Britannica, Inc., Chicago, IL)
[34] Zong Y P, Wang M T, Guo W 2009 Acta Phys. Sin. 58 S161 (in Chinese) [宗亚平、王明涛、郭 巍 2009 物理学报 58 S161]
[35] [36] [37] Chen L Q, Shen J 1998 Comput. Phys. Commun. 108 147
[38] Fan D, Chen L Q, Chen S P 1997 Mater. Sci. Eng. A 238 78
[39] [40] [41] Chen Q, Ma N, Wu K S, Wang Y Z 2004 Scripta Mater. 50 471
[42] Wei C Y, Gao Y J, Zhang L N 2008 Chin. J. Nonfer. Metal. 18 132 (in Chinese) [魏承炀、高英俊、张丽娜 2008 中国有色金属学报 18 132]
[43] [44] [45] Grest G S, Anderson M P 1988 Phys. Rev. B 38 4752
[46] [47] Anderson M P, Srolovitz D J, Grest G S, Sahni P S 1984 Acta Metal. 32 783
[48] Song X Y, Liu G Q, He Y Z 1998 Prog. Natur. Sci. 8 337 (in Chinese) [宋晓艳、刘国权、何宜柱 1998 自然科学进展 8 337]
[49] [50] Chen D Q, Zheng Z Q, Liu Z Y, Li S C 2003 Acta Metall. Sin. 39 1238 (in Chinese) [陈大钦、郑子樵、刘祖耀、李世晨 2003 金属学报 39 1238]
[51]
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