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论文摘要

基于元胞自动机法的铝合金定向凝固过程微观组织数值模拟

Numerical Simulation of Microstructure in Aluminum Alloy Directional Solidification Based on Cellular Automaton Method

作者:黄建峰(成都大学)

Author:Huang Jian-Feng()

收稿日期:2010-03-21          年卷(期)页码:2010,42(6):219-226

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:定向凝固; 元胞自动机; 数值模拟;微观组织

Key words:directional solidification; cellular automata; numerical simulation; microstructure

基金项目:中国人民解放军总装备部武器装备预研基金项目

中文摘要

基于溶质扩散和界面能的作用,考虑成分过冷、曲率过冷和界面能各向异性和界面扰动,并改进了溶质再分配的算法以及界面液相浓度偏导数的离散格式,建立了凝固过程中晶体的生长模型。利用此模型并采用元胞自动机方法对铝合金定向凝固过程中的平界面、胞状和枝晶状三种典型界面形貌演化进行了模拟,并把模拟参数和模拟结果与经典凝固理论进行了比较,发现在G/V值略小于成分过冷判据给出的临界值时就已经获得平界面。并验证了平均一次枝晶间距与温度梯度和抽拉速度的变化关系,与理论结果吻合较好。

英文摘要

Based on the physical processes of solute diffusion and interfacial energy, a model of describing crystal growth was developed with the improvement of algorithm of solute redistribution and the improved discretization scheme of partial derivative of liquid concentration at the interface, including the effects of constitutional undercooling, curvature undercooling, anisotropy of interfacial energy and perturbation on the interface. By using this model, cellular automata method was adopted to simulate morphology evolution of the three typical interface including planar, cellular and dendritic in aluminum alloy directional solidification. By comparing the simulation parameters and results in this model with in the classical solidification theory, it was discovered that the planar interface was formed when the G/V value was slightly smaller than the critical value given by constitutional undercooling criterion. The variation relationship of the average primary dendrite spacing with the temperature gradient and the drawing velocity were studied and matched well with the theoretical results.

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