Dendritic morphology and characteristic parameters during solidification of Fe-C alloy with phase field model
XIA Yong1, SHEN Hou-fa2, LIU Hua-song1, WANG Pu1, TANG Hai-yan1, ZHANG Jia-quan1
1. School of Metallurgical and Ecological Engineering, University of Science and Technology Beijing, Beijing 100083, China; 2. School of Materials Science and Engineering, Tsinghua University, Beijing 100084, China
Abstract:In order to realize the quantitative characterization of the dendrite morphology during the alloy solidification process,reveal the influence of solute distribution and undercooling on the microsegregation in the solidification front,and then carry out the quantitative study of the liquid phase permeability between solidification dendrites,the phase field model is adopted to discuss the microstructure and characteristic parameters of Fe-0.5%C alloy during solidification,and the fractal dimension and dimensionless circumference were introduced to quantitatively analyze the dendrite morphology,microsegregation and mush zone permeability. The results show that the fractal dimension and dimensionless circumference can be used to estimate the complexity of dendrite morphology quantitatively. The fractal dimension increases from 1.28 to 1.791,and the dimensionless circumference increases from 2.39 to 12.6 when the undercooling increases from 20 to 27 K. With increasing undercooling,the solute concentration in both the central axis of dendrite and the solid/liquid interface increase,and the diffusion layer thickness at the dendrite tip decreases,i.e.,the segregation ratio between dendrites increases. Taking as the tortuosity factors of the dendrite in liquid,the fractal dimension and dimensionless circumference were used to estimate the mush permeability during solidification. Compared the fractal dimension,the dimensionless circumference is reliable in estimating the permeability with the value of 1.36×10-15-1.75×10-13 m2 for the given undercoolings.
夏勇, 沈厚发, 刘华松, 王璞, 唐海燕, 张家泉. Fe-C合金凝固枝晶形貌及特性参数的相场模拟[J]. 钢铁, 2021, 56(3): 137-145.
XIA Yong, SHEN Hou-fa, LIU Hua-song, WANG Pu, TANG Hai-yan, ZHANG Jia-quan. Dendritic morphology and characteristic parameters during solidification of Fe-C alloy with phase field model[J]. Iron and Steel, 2021, 56(3): 137-145.
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