中国物理B ›› 2022, Vol. 31 ›› Issue (2): 28102-028102.doi: 10.1088/1674-1056/ac0eed

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Numerical study of growth competition between twin grains during directional solidification by using multi-phase field method

Chang-Sheng Zhu(朱昶胜)1,2, Ting Wang(汪婷)1,†, Li Feng(冯力)2, Peng Lei(雷鹏)1, and Fang-Lan Ma(马芳兰)1   

  1. 1 School of Computer and Communication, Lanzhou University of Technology, Lanzhou 730050, China;
    2 State Key Laboratory of Gansu Advanced Processing and Recycling of Non-Ferrous Metal, Lanzhou University of Technology, Lanzhou 730050, China
  • 收稿日期:2021-05-19 修回日期:2021-06-21 接受日期:2021-06-28 出版日期:2022-01-13 发布日期:2022-01-22
  • 通讯作者: Ting Wang E-mail:1364867689@qq.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 52161002, 51661020, and 11364024), the Postdoctoral Science Foundation of China (Grant No. 2014M560371), and the Funds for Distinguished Young Scientists of Lanzhou University of Technology, China (Grant No. J201304).

Numerical study of growth competition between twin grains during directional solidification by using multi-phase field method

Chang-Sheng Zhu(朱昶胜)1,2, Ting Wang(汪婷)1,†, Li Feng(冯力)2, Peng Lei(雷鹏)1, and Fang-Lan Ma(马芳兰)1   

  1. 1 School of Computer and Communication, Lanzhou University of Technology, Lanzhou 730050, China;
    2 State Key Laboratory of Gansu Advanced Processing and Recycling of Non-Ferrous Metal, Lanzhou University of Technology, Lanzhou 730050, China
  • Received:2021-05-19 Revised:2021-06-21 Accepted:2021-06-28 Online:2022-01-13 Published:2022-01-22
  • Contact: Ting Wang E-mail:1364867689@qq.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 52161002, 51661020, and 11364024), the Postdoctoral Science Foundation of China (Grant No. 2014M560371), and the Funds for Distinguished Young Scientists of Lanzhou University of Technology, China (Grant No. J201304).

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摘要： A multi-phase field model is established to simulate the growth competition and evolution behavior between seaweed and columnar dendrites during directional solidification. According to the effects of surface tension and interfacial energy, we quantitatively analyze the influences of factors such as inclination angles, pulling velocity, and anisotropic strength on twin growth. The results demonstrate that the pulling velocity and anisotropic strength have an important influence on the morphology and evolution of the seaweed and dendritic growth. The low pulling velocity and anisotropic strength are both key parameters for maintaining the stable morphology of seaweed during competitive growth in a bicrystal, showing that the lateral branching behavior is the root of the dendrites that can ultimately dominate the growth. And it is clarified that the lateral branching behavior and lateral blocking are the root causes of the final dominant growth of dendrites. With the increase of anisotropy strength, the seaweed is eliminated fastest in case 1, the seaweed is transformed into degenerate dendritic morphology, and eliminates the seaweed by promoting the generation and lateral growth of the lateral branches of the dendrites. The increase of pulling velocity is to increase the undercooling of favorable oriented grain and accelerate the growth rate of dendrites, thus producing more new primary dendrites for lateral expansion and accelerating the elimination rate of unfavorable oriented grain.

关键词: multi-phase field simulation, grain growth competition, directional solidification, twin grains

Abstract: A multi-phase field model is established to simulate the growth competition and evolution behavior between seaweed and columnar dendrites during directional solidification. According to the effects of surface tension and interfacial energy, we quantitatively analyze the influences of factors such as inclination angles, pulling velocity, and anisotropic strength on twin growth. The results demonstrate that the pulling velocity and anisotropic strength have an important influence on the morphology and evolution of the seaweed and dendritic growth. The low pulling velocity and anisotropic strength are both key parameters for maintaining the stable morphology of seaweed during competitive growth in a bicrystal, showing that the lateral branching behavior is the root of the dendrites that can ultimately dominate the growth. And it is clarified that the lateral branching behavior and lateral blocking are the root causes of the final dominant growth of dendrites. With the increase of anisotropy strength, the seaweed is eliminated fastest in case 1, the seaweed is transformed into degenerate dendritic morphology, and eliminates the seaweed by promoting the generation and lateral growth of the lateral branches of the dendrites. The increase of pulling velocity is to increase the undercooling of favorable oriented grain and accelerate the growth rate of dendrites, thus producing more new primary dendrites for lateral expansion and accelerating the elimination rate of unfavorable oriented grain.

Key words: multi-phase field simulation, grain growth competition, directional solidification, twin grains

中图分类号:  (Solidification)

  • 81.30.Fb
81.10.Aj (Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)