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Chin. Phys. B, 2024, Vol. 33(9): 096103    DOI: 10.1088/1674-1056/ad57ac
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Dendritic tip selection during solidification of alloys: Insights from phase-field simulations

Qingjie Zhang(张清杰)1, Hui Xing(邢辉)1,2,†, Lingjie Wang(王灵杰)1, and Wei Zhai(翟薇)1
1 School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China;
2 Research & Development Institute of Northwestern Polytechnical University in Shenzhen, Shenzhen 518063, China
Abstract  The effect of undercooling ΔT and the interface energy anisotropy parameter ε4 on the shape of the equiaxed dendritic tip has been investigated by using a quantitative phase-field model for solidification of binary alloys. It was found that the tip radius ρ increases and the tip shape amplitude coefficient A4 decreases with the increase of the fitting range for all cases. The dendrite tip shape selection parameter σ decreases and then stabilizes with the increase of the fitting range, and σ increases with the increase of ε4. The relationship between σ and ε4 follows a power-law function σε4α, and α is independent of ΔT but dependent on the fitting range. Numerical results demonstrate that the predicted σ is consistent with the curve of microscopic solvability theory (MST) for ε4<0.02, and σ obtained from our phase-field simulations is sensitive to the undercooling when ε4 is fixed.
Keywords:  phase-field simulations      dendritic structure      interface energy anisotropy      tip shape selection parameter  
Received:  15 March 2024      Revised:  20 May 2024      Accepted manuscript online:  13 June 2024
PACS:  61.50.Ah (Theory of crystal structure, crystal symmetry; calculations and modeling)  
  81.10.Aj (Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)  
  02.70.-c (Computational techniques; simulations)  
  61.72.-y (Defects and impurities in crystals; microstructure)  
Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2021YFB3502600) and Shenzhen Science and Technology Program (Grant No. JCYJ20220530161813029).
Corresponding Authors:  Hui Xing     E-mail:  huixing@nwpu.edu.cn

Cite this article: 

Qingjie Zhang(张清杰), Hui Xing(邢辉), Lingjie Wang(王灵杰), and Wei Zhai(翟薇) Dendritic tip selection during solidification of alloys: Insights from phase-field simulations 2024 Chin. Phys. B 33 096103

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