Research on Phase-Field Model of Three-Dimensional Dendritic Growth for Binary Alloy
Research on Phase-Field Model of Three-Dimensional Dendritic Growth for Binary Alloy
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二元合金三维枝晶生长相场模型研究
DOI：
10.1166/jctn.2015.4353
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发表时间：
2015-11
影响因子：
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通讯作者：
Yang Lu
中科院分区：
文献类型：
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作者：
Li Feng;Jingfang Jia;Changsheng Zhu;Yang Lu
基于二元合金单相体系和纯扩散枝晶生长的三维相场模型（KKS模型），以枝晶固液界面迁移方向法向量为自变量，描述相场控制函数和界面自由能各向异性方程。并利用枝晶生长界面迁移法向与最优生长方向之间的夹角来描述界面自由能各向异性函数，目的是改进相场模型。以Al-Cu二元合金为例，模拟了不同过冷度下不同生长取向的三维枝晶生长和枝晶尖端生长速度。将模拟结果与KKS模型的模拟结果和经典凝固理论（LKT （BCT）理论）的预测结果进行了比较。结果表明，仿真结果与理论预测结果吻合较好。本文研究的界面自由能各向异性函数中三个角度变量的定义域相同，且三者之间存在一一对应的关系，从而实现了不同晶粒在不同最优生长方向下共同生长的固液界面演化的数值模拟。
Based on the three-dimensional phase-field model (KKS model) of single-phase system and pure diffusion dendritic growth for binary alloy, the normal vector of dendritic solid–liquid interface migration direction is employed as an independent variable to describe phase-field governing function and interfacial free energy anisotropy equation, and the angle between the normal direction of dendritic growth interface migration and the optimal growth direction is used to describe interfacial free energy anisotropy function, and the purpose is to improve phase-field model. Taking Al–Cu binary alloy for example, the three-dimensional dendritic growth with different growth orientations and the dendritic tip growth velocities under different undercoolings are simulated. The simulation results are compared with the KKS model’s simulation results and the predicted results of the classical solidification theory (LKT (BCT) theory). The results show that the simulation results agree well with the theoretical prediction results. The definitional domains of three angle variables in the interfacial free energy anisotropy function used this paper research are the same and there is a one-to-one relationship among them, and then the numerical simulation of solid–liquid interface evolution about different grains’ common growth with different optimal growth orientations is realized.