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金属学报  2011, Vol. 47 Issue (9): 1135-1140    DOI: 10.3724/SP.J.1037.2011.00195
  论文 本期目录 | 过刊浏览 |
三元合金单相凝固路径的统一解析模型
赵光伟, 李新中, 徐达鸣, 傅恒志, 杜勇, 贺跃辉
1) 哈尔滨工业大学材料科学与工程学院, 哈尔滨 150001
2) 中南大学粉末冶金国家重点实验室, 长沙 410083
A UNIFIED ANALYTICAL MODEL FOR THE PRIMARY SOLIDIFICATION PATH IN TERNARY ALLOYS
ZHAO Guangwei, LI Xinzhong, XU Daming, FU Hengzhi, DU Yong, HE Yuehui
1) School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001
2) State Key Laboratory of Powder Metallurgy, Central South University, Changsha 410083
引用本文:

赵光伟 李新中 徐达鸣 傅恒志 杜勇 贺跃辉. 三元合金单相凝固路径的统一解析模型[J]. 金属学报, 2011, 47(9): 1135-1140.
, , , , . A UNIFIED ANALYTICAL MODEL FOR THE PRIMARY SOLIDIFICATION PATH IN TERNARY ALLOYS[J]. Acta Metall Sin, 2011, 47(9): 1135-1140.

全文: PDF(1216 KB)  
摘要: 基于合金枝晶凝固微观偏析统一模型, 导出一种新的描述三元合金单相凝固路径的解析模型. 该模型具有统一性, 不仅可涵盖平衡、非平衡和准平衡3种极限凝固路径模式, 而且可考虑任意凝固相的反扩散、冷速和枝晶几何形貌等因素的影响. 通过对 Al-1.0Cu-6.3Mg, Al-1.49Si-0.64Mg和Al-1.49Si-2.90Mg(质量分数, %)合金在不同凝固反扩散条件下凝固路径的实例计算, 证明了本文三元合金单相凝固路径统一解析模型与算法的可行性.
关键词 三元合金凝固路径微观偏析解析模型    
Abstract:Accurate prediction for the solidification path of a multicomponent alloy and the amounts of the secondary phases presented under a given solidification condition is critical in understanding and controlling the performances of the solidified alloy materials/parts. The degree of freedom of a single-phase solidification in multicomponent alloys is at least more than one, whilch brings some difficulty in accurate predicting of the solidification path. A new analytical model for predicting a single-phase solidification paths in ternary alloys was developed based on a previously proposed unified microsegregation model for dendrite solidification of binary alloys. The present unified analytical model can not only include the three limiting solidification conditions of equilibrium, nonequilibrium and paraequilibrium solidification, but also take into account of any solid diffusion coefficient, dendrite geometrical morphologies and solidification rates, etc. The algorithms for calculating the solidification paths of ternary alloys was closely coupled with a commercial software package/database of Thermo-Calc via its TQ6-interface in order to directly access to the thermodynamic data. The availability of the proposed analytical model for predicting the primary solidification paths of ternary alloys were demonstrated by the sample computations on Al-1.0Cu-6.3Mg, Al-1.49Si-0.64Mg and Al-1.49Si-2.90Mg alloys under different solidification conditions of solid back diffusion. It was found that the solidification conditions affect the solidification paths significantly. For an alloy, especially with a nominal composition far away from the ternary eutectic point, different solid back diffusion conditions and solidification rate can result in different amounts and even different kinds of secondary phase.
Key wordsternary alloy    solidification path    microsegregation    analytical model
收稿日期: 2011-04-02     
基金资助:

国家自然科学基金项目51071062和50801019, 国家重点基础研究发展计划项目2011CB610406和中南大学粉末冶金国家重点实验室开放课题项目2008112042资助

作者简介: 赵光伟, 男, 1981年生, 博士生
[1] Lu X S. Phase Diagram and Phase Transformation. Hefei: Press of University of Science and Technology of China, 1990: 3

(陆学善. 相图与相变. 合肥: 中国科学技术大学出版社, 1990: 3)

[2] Wang C L. Phase Diagrams and Its Application. Beijing: Higher Education Press, 2008: 17

(王崇琳. 相图理论及其应用. 北京: 高等教育出版社, 2008: 17)

[3] Mehrabian R, Flemings M C. Metall Trans, 1970; 1: 455

[4] Shawn C A, Krane J M. Mater Sci Eng, 2003; A359: 91

[5] Lacaze J, Lesoult G, Relave O, Ansara I, Riquet J P. Z Metallkd, 1987; 78: 141

[6] Boettinger W J, Kattner U R, Banerjee D K. In: Thomas B G, Beckermann C eds., Modeling of Casting, Welding and Advanced Solidification Processes VIII, Warrendale: TMS, 1998: 159

[7] Chen S L, Yang Y, Chen S W, Lu X G, Chang Y A. J Phase Equilibria Diffusion, 2009; 30: 429

[8] Dupont J N. Metall Mater Trans, 2006; 37A: 1937

[9] Xie F Y, Kraft T, Zuo Y, Moon C H, Chang Y A. Acta Mater, 1999; 47: 489

[10] Ro´osz A, Exner H E. Acta Matall Mater, 1990; 38: 375

[11] Won Y M, Thomas B G. Metall Mater Trans, 2001; 32A: 1755

[12] Matsumiya T. Mater Trans, 1992, 33: 783

[13] Xu D M, Guo J J, Fu H Z. In: Howard J ed., Proceedings of the 5th Decennial International Conference on Solidification Processing. Sheffield: The University of Sheiffield, 2007: 94

[14] Xu D M. Metall Mater Trans, 2001; 32B: 1129

[15] Zhao G W, Xu D M, Song M H, Fu H Z, Du Y, He Y H. Acta Metall Sin, 2009; 45: 956

(赵光伟, 徐达鸣, 宋梦华, 傅恒志, 杜勇, 贺跃辉. 金属学报, 2009; 45: 956)
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