中国物理B ›› 2022, Vol. 31 ›› Issue (4): 48104-048104.doi: 10.1088/1674-1056/ac3398

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Phase-field modeling of faceted growth in solidification of alloys

Hui Xing(邢辉)1, Qi An(安琪)1, Xianglei Dong(董祥雷)2,†, and Yongsheng Han(韩永生)3   

  1. 1 The Key Laboratory of Space Applied Physics and Chemistry, Northwestern Polytechnical University, Xi'an 710029, China;
    2 College of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China;
    3 The EMMS Group, State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2021-08-24 修回日期:2021-09-25 接受日期:2021-10-27 出版日期:2022-03-16 发布日期:2022-03-10
  • 通讯作者: Xianglei Dong E-mail:dxl881112@zzu.edu.cn
  • 基金资助:
    Project supported by the National Key Research and Development Program of China (Grant No. 2018YFB2001800), the National Natural Science Foundation of China (Grant No. 21978298), the Natural Science Foundation of Shaanxi Province in China (Grant No. 2020JM-111), Applied Basic Research Key Project of Yunnan, China (Grant No. 202002AB080001-1), and Henan Youth Talent Promotion Project, China (Grant No. 2020HYTP019).

Phase-field modeling of faceted growth in solidification of alloys

Hui Xing(邢辉)1, Qi An(安琪)1, Xianglei Dong(董祥雷)2,†, and Yongsheng Han(韩永生)3   

  1. 1 The Key Laboratory of Space Applied Physics and Chemistry, Northwestern Polytechnical University, Xi'an 710029, China;
    2 College of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China;
    3 The EMMS Group, State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2021-08-24 Revised:2021-09-25 Accepted:2021-10-27 Online:2022-03-16 Published:2022-03-10
  • Contact: Xianglei Dong E-mail:dxl881112@zzu.edu.cn
  • Supported by:
    Project supported by the National Key Research and Development Program of China (Grant No. 2018YFB2001800), the National Natural Science Foundation of China (Grant No. 21978298), the Natural Science Foundation of Shaanxi Province in China (Grant No. 2020JM-111), Applied Basic Research Key Project of Yunnan, China (Grant No. 202002AB080001-1), and Henan Youth Talent Promotion Project, China (Grant No. 2020HYTP019).

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摘要： A regularization of the surface tension anisotropic function used in vapor-liquid-solid nanowire growth was introduced into the quantitative phase-field model to simulate the faceted growth in solidification of alloys. Predicted results show that the value of δ can only affect the region near the tip, and the convergence with respect to δ can be achieved with the decrease of δ near the tip. It can be found that the steady growth velocity is not a monotonic function of the cusp amplitude, and the maximum value is approximately at ε=0.8 when the supersaturation is fixed. Moreover, the growth velocity is an increasing function of supersaturation with the morphological transition from facet to dendrite.

关键词: faceted growth, dendrite, phase-field model

Abstract: A regularization of the surface tension anisotropic function used in vapor-liquid-solid nanowire growth was introduced into the quantitative phase-field model to simulate the faceted growth in solidification of alloys. Predicted results show that the value of δ can only affect the region near the tip, and the convergence with respect to δ can be achieved with the decrease of δ near the tip. It can be found that the steady growth velocity is not a monotonic function of the cusp amplitude, and the maximum value is approximately at ε=0.8 when the supersaturation is fixed. Moreover, the growth velocity is an increasing function of supersaturation with the morphological transition from facet to dendrite.

Key words: faceted growth, dendrite, phase-field model

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)