Phase-field numerical simulation of three-dimensional competitive growth of dendrites in a binary alloy
Phase-field numerical simulation of three-dimensional competitive growth of dendrites in a binary alloy
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二元合金中枝晶三维竞争生长的相场数值模拟
DOI：
10.1007/s41230-018-7057-y
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发表时间：
2018-02
期刊：
影响因子：
1.6
通讯作者：
Beibei Jia
中科院分区：
文献类型：
--
作者：
Li Feng;Yalong Gao;Changsheng Zhu;Guosheng An;Xin Deng;Beibei Jia
用枝晶在固液界面迁移方向的法向量描述相场控制方程。利用枝晶生长界面迁移方向的法向量与模拟区域坐标轴所成的3个夹角，表达了界面各向异性方程，建立了多晶粒竞争生长的相场模型。以Al-2% mole-Cu二元合金为例，采用并行计算技术模拟了等温凝固过程中多晶粒的竞争生长。此外，通过实验方法对相场模拟结果进行了验证.模拟结果表明，等轴枝晶的竞争生长分为两种类型：第一种是在竞争生长过程中，参与竞争的不同晶粒上的一次枝晶尖端停止向各自的最佳生长方向生长;第二个也发生在竞争性增长期间，参与晶粒竞争的一次枝晶尖端沿其最佳生长方向不断生长。第一类竞争生长的枝晶形貌分为两种类型。当竞争双方均未获胜时，参与竞争的晶粒一次枝晶停止向最佳生长方向生长，竞争面扩大。然而，当一个人赢得了竞争，初级枝晶的优势，通过阻塞的晶粒，并继续在其最佳的生长方向生长。劣质晶粒的初生枝晶停止在其最佳生长方向上生长，然后在那些没有障碍的区域中生长。第二种竞争生长型枝晶的形态是初生枝晶的变形，从不同角度观察主要表现为偏转和弯曲。与金相图片相比，模拟结果能够全方位地展示竞争生长的形貌，因此该模拟方法能够更好地表征竞争生长过程。
The normal vector of migration direction in the solid-liquid interface of dendrites was used to describe the phase-field governing equation. By using the three angles formed by the normal vector for the migration direction of the dendritic growth interface and the coordinate axes of the simulation region, the authors expressed the interfacial anisotropy equation, and built a phase-field model for the competitive growth of multiple grains. Taking a Al-2%mole-Cu binary alloy as an example, the competitive growth of multiple grains during isothermal solidification was simulated by applying parallel computing techniques. In addition, the phase field simulation results were verified by the experimental method. The simulation results show that the competitive growth of equiaxed dendrite is divided into two types: the first occurs during the process of competitive growth, the tips of primary dendrite on different grains taking part in the competition stop growing in their optimal growth direction; the second also occurs during competitive growth, the tips of primary dendrite which participate in the competition on different grains never stop growing in their optimal growth direction. The dendritic morphologies of the first competition growth type are divided into two types. Primary dendrites of grains taking part in the competition stop growing in their optimal growth direction and the competition plane enlarges when neither one wins the competition. However, when one wins the competition, the primary dendrites of grains with superiority go through the blocking grains and continue to grow in their optimal growth direction. The primary dendrites of inferior grains stop growing in their optimal growth direction and then instead grow in those areas without obstacles. The dendritic morphology of the second competition-growth type is shown to be the deformation of primary dendrites, which are mainly represented as the deflection and bending observed from different views. Compared with the metallographic picture, the simulation results can show the morphology of the competitive growth in all directions, so this simulation method can better characterize the competitive growth process.
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