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改进模拟枝晶生长常用的二维元胞自动机模型,根据Al-Cu二元合金相图,拟合出固液分配系数和液相线斜率随温度变化的曲线方程,并将其耦合入改进的模型中。应用该模型模拟出金属凝固过程中单个、多个枝晶的生长形貌和溶质浓度分布,将模拟结果与固液分配系数和液相线斜率恒定时得到的结果进行对比分析。结果表明,改进后的模型实现了枝晶生长过程中固液相溶质浓度的分离,耦合曲线方程后模拟得到的溶质浓度分布更加均匀平滑,更符合凝固基本理论。
Based on Al-Cu binary alloy phase diagram, the two-dimensional Cellular Automata model, which is commonly used for simulating dendrite growth, is improved. The equation of solid-liquid partition coefficient and the slope of liquidus phase with temperature are fitted, In the model. The model was used to simulate the growth morphology and solute concentration distribution of single and multiple dendrites in the process of metal solidification. The simulation results were compared with those obtained when the liquid-liquid partition coefficient and the liquidus slope were constant. The results show that the modified model realizes the separation of solid-liquid solute concentration during dendrite growth. The solute concentration distribution simulated by the coupled curve equation is more uniform and smooth, and more in line with the basic theory of solidification.