Phase field method study on oriented tilted dendrite growth of alloy by adaptive finite element method

Abstract

Abstract: The article established a phase field model that is an oriented tilted dendrite of alloy, and used a non-uniform grid adaptive finite element method to solve the phase field model of thin interface layer thickness. The thesis also researched the evolution process of the tilting dendrite of Al-Cu(w(Cu)=4%) alloy, and quantitatively analyzed the effect of cooling rate and the main crystal spacing on solidification structure. The results demonstrated that the cooling rate and the main crystal spacing and the pulling speed can control the growth angle of the tilting dendrite. With the increase of the cooling rate, the growth of dendrite will deviate from the preferred direction to the direction of temperature gradient. On the contrary, with the increase of main crystal spacing and pulling speed, the growth angle of dendrite will gradually deviate from the temperature gradient direction to the preferred crystal direction. In addition, compared with the uniform grid method, the adaptive finite element method reduces the running time of the CPU by an order of magnitude. And as the computational domain increases, the computational efficiency of the adaptive finite element method is higher.

Key words: phase field simulation, adaptive finite element, directional solidification, Al-4wt.%Cu alloy

CLC Number:

TG111

ZHU Chang-sheng, GAO Hong-wei, MA Fang-lan, FENG Li, LEI Peng. Phase field method study on oriented tilted dendrite growth of alloy by adaptive finite element method[J]. Journal of Lanzhou University of Technology, 2021, 47(3): 15-22.

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