枝晶生长的三维元胞自动机模拟

doi:10.3724/SP.J.1037.2011.00050

金属学报

2011, Vol. 47

Issue (9): 1099-1104 DOI: 10.3724/SP.J.1037.2011.00050

论文

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枝晶生长的三维元胞自动机模拟

赵九洲, 江鸿翔

中国科学院金属研究所, 沈阳 110016

A THREE-DIMENSIONAL CELLULAR AUTOMATON SIMULATION FOR DENDRITIC GROWTH

JIANG Hongxiang, ZHAO Jiuzhou

Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016

引用本文:

赵九洲江鸿翔. 枝晶生长的三维元胞自动机模拟[J]. 金属学报, 2011, 47(9): 1099-1104.
, . A THREE-DIMENSIONAL CELLULAR AUTOMATON SIMULATION FOR DENDRITIC GROWTH[J]. Acta Metall Sin, 2011, 47(9): 1099-1104.

全文: PDF(1975 KB)

摘要: 通过将元胞自动机和有限差分方法相耦合, 建立了立方体系金属和合金枝晶生长的三维模型. 应
用该模型, 模拟了Al-Cu合金过冷熔体中自由枝晶的生长和定向凝固条件下Al-Cu合金凝固组织演变过程.
模拟结果清楚展现了过冷熔体中自由枝晶的生长过程和定向凝固过程中枝晶的形成与淹没, 与理论预测和
实验结果相吻合, 表明所发展的模型能够较准确地描述立方体系金属和合金的凝固组织演变过程.

关键词 ：枝晶生长, 三维元胞自动机, 枝晶间距

Abstract：Perhaps dendrite is the most observed solidification microstructure of many metallic materials. The dendritic morphologies show a dominating effect on the performance of casting products. A lot of work has been carried out to investigate the formation mechanism of dendritic microstructure. It is found that the development of dendritic microstructures is a complicated process controlled by the interplay of many factors such as thermal and solute transfer, capillary

$etc$ . Cellular automaton (CA) can simulate the solidification process with a high computational efficiency, thus, attracts great attentions. In recent years, progress has been made on the two dimensional CA models for the solidification microstructure formation. But up to date researches on three dimensional CA model are very limited. A combined cellular automaton-finite difference (CA-FD) model for the three dimensional simulation of dendritic growth was developed in this paper. Simulations were performed to investigate the dendritic growth in an undercooled Al-Cu alloy as well as in a directionally solidified Al-Cu alloy. The numerical results showed clearly the development of the free dendrite in the undercooled melt and the microstructure evolution in the directionally solidified alloy and agreed well with the theoretical predictions and the experimental results.

Key words： dendritic growth three dimensional cellular automaton dendritic spacing

收稿日期: 2011-01-20

基金资助:

国家自然科学基金项目u0837601, 51071159和51031003资助

作者简介: 江鸿翔, 男, 1988年生, 硕士生

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https://www.ams.org.cn/CN/10.3724/SP.J.1037.2011.00050 或 https://www.ams.org.cn/CN/Y2011/V47/I9/1099

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