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材料工程  2016, Vol. 44 Issue (6): 9-16    DOI: 10.11868/j.issn.1001-4381.2016.06.002
  材料与工艺 本期目录 | 过刊浏览 | 高级检索 |
Al-4%Cu凝固过程枝晶生长的数值模拟
张敏, 徐蔼彦, 汪强, 李露露
西安理工大学 材料科学与工程学院, 西安 710048
Numerical Simulation on Dendrite Growth During Solidification of Al-4%Cu Alloy
ZHANG Min, XU Ai-yan, WANG Qiang, LI Lu-lu
School of Material Science and Engineering, Xi'an University of Technology, Xi'an 710048, China
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摘要 改进了模拟枝晶生长常用的二维元胞自动机和有限差分(CA-FD)模型,新模型引入扰动函数来控制二、三次枝晶的生长;在枝晶生长过程中,将溶质浓度明确地分为液相溶质浓度和固相溶质浓度两部分;并在溶质再分配与扩散过程中采用八邻位差分以减少网格形状导致溶质扩散的各向异性。模拟了Al-4%Cu二元合金过冷熔体中,单个和多个等轴晶沿不同择优方向生长及单方向和多方向柱状树枝晶竞争生长过程中的枝晶形貌、液相溶质浓度和固相溶质浓度分布情况。模拟结果表明:扰动的引入能够促使枝晶产生分支,并控制二、三次枝晶的生长速率;液/固相溶质计算模型能够准确地模拟出枝晶生长过程中液/固相溶质分布;此外改进后的模型实现了枝晶沿任意方向的竞争生长。
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张敏
徐蔼彦
汪强
李露露
关键词 数值模拟元胞自动机法枝晶形貌溶质浓度    
Abstract:A new two-dimensional cellular automata and finite difference (CA-FD) model of dendritic growth was improved, which a perturbation function was introduced to control the growth of secondary and tertiary dendrite, the concentration of the solute was clearly defined as the liquid solute concentration and the solid-phase solute concentration in dendrite growth processes, and the eight moore calculations method was used to reduce the anisotropy caused by the shape of the grid in the process of redistribution and diffusion of solute. Single and multi equiaxed dendrites along different preferential direction, single and multi directions of columnar dendrites of Al-4% Cu alloy were simulated, as well as the distribution of liquid solute concentration and solid solute concentration. The simulation results show that the introduced perturbation function can promote the dendrite branching, liquid/solid phase solute calculation model is able to simulate the solute distribution of liquid/solid phase accurately in the process of dendritic growth, and the improved model can realize competitive growth of dendrite in any direction.
Key wordsnumerical simulation    cellular automaton method    dendritic morphology    solute concentration
收稿日期: 2014-05-23      出版日期: 2016-06-13
中图分类号:  TG292  
通讯作者: 张敏(1967-),男,博士,主要从事焊接成型过程的力学行为及其结构质量控制焊接和凝固过程的组织演变行为及其先进焊接材料的研究工作,地址:陕西省西安市金花南路5号西安理工大学(710048),E-mail:zhmmn@xaut.edu.cn     E-mail: zhmmn@xaut.edu.cn
引用本文:   
张敏, 徐蔼彦, 汪强, 李露露. Al-4%Cu凝固过程枝晶生长的数值模拟[J]. 材料工程, 2016, 44(6): 9-16.
ZHANG Min, XU Ai-yan, WANG Qiang, LI Lu-lu. Numerical Simulation on Dendrite Growth During Solidification of Al-4%Cu Alloy. Journal of Materials Engineering, 2016, 44(6): 9-16.
链接本文:  
http://jme.biam.ac.cn/CN/10.11868/j.issn.1001-4381.2016.06.002      或      http://jme.biam.ac.cn/CN/Y2016/V44/I6/9
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