Open AccessNumerical simulation of dendritic evolution based on an improved cellular automaton model involving solute field
Author(s) -
J. J. Wang,
Hongji Meng,
Jinshui Yang,
Zhi Xie
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/657/1/012071
Subject(s) - cellular automaton , dendrite (mathematics) , process (computing) , work (physics) , biological system , growth rate , materials science , interface (matter) , statistical physics , field (mathematics) , crystal growth , mechanics , distribution (mathematics) , computer science , thermodynamics , algorithm , physics , mathematics , geometry , surface tension , mathematical analysis , pure mathematics , gibbs isotherm , biology , operating system
This paper studied the single crystal growth of Fe-0.64C alloy under a fixed cooling rate, proposed an improved cellular automaton model. The influence of solute field on dendrite growth is especially considered into the model. And a new solute distribution scheme based on Fick's first law and solute conservation was proposed from the microscopic scale. In addition, the present work improved the acquisition algorithm, which takes the growth length of the interface cell to the neighbouring cell as the determination condition of the capture. A solid fraction calculation method based on the solidification area of interface cell to total area is also proposed. The results show that this model can not only dynamically display the formation process of secondary dendrites and high-order dendrites, but also simulate the distribution of solute inside the dendrites and at the interface front.