合金凝固过程中显微组织演化的元胞自动机模拟*
收稿日期: 2016-08-05
网络出版日期: 2016-09-05
基金资助
* 国家自然科学基金项目51371051和51501091, 中央高校基本科研业务费专项资金项目2242016K40008, 以及东南大学优秀博士论文培育基金YBJJ1627资助
CELLULAR AUTOMATON MODELING OF MICRO-STRUCTURE EVOLUTION DURING ALLOY SOLIDIFICATION
Received date: 2016-08-05
Online published: 2016-09-05
Supported by
Supported by National Natural Science Foundation of China (Nos.51371051 and 51501091) and Fundamental Research Funds for the Central Universities of China (No. 2242016K40008)
朱鸣芳 , 汤倩玉 , 张庆宇 , 潘诗琰 , 孙东科 . 合金凝固过程中显微组织演化的元胞自动机模拟*[J]. 金属学报, 2016 , 52(10) : 1297 -1310 . DOI: 10.11900/0412.1961.2016.00361
Microstructure evolution during solidification is a complex process controlled by the interplay of heat, solute, capillary, thermodynamics and kinetics. Computational modeling can provide detailed information about the interactions between transport phenomena and phase transformation. Thus, it has emerged as an important and indispensable tool in studying the underlying physics of microstructural formation in solidification. During the last two decades, extensive efforts have been dedicated to explore the numerical models based on the methods of phase field (PF), cellular automaton (CA), front tracking (FT), and level set (LS), for the simulation of solidification microstructures. The CA approach can reproduce various realistic microstructure features with an acceptable computational efficiency, indicating the considerable potential for practical applications. It has, therefore, drawn great interest in academia and achieved remarkable advances in the simulation of microstructures. This paper gives an overview of CA based models, spanning from the meso-scale to the micro-scale, for the prediction of microstruc ture evolution during alloy solidification. The governing equations and numerical algorithms of CA based models and derived coupling models are summarized, including the calculations of nucleation, growth kinetics, interface curvature, surface tension anisotropy and crystallographic orientation, thermal and solutal transport, melt convection utilizing the lattice Boltzmann method (LBM), the coupling of CA with control volume (CV) method, the coupling of CA with CALPHAD approach for multi-component alloy systems, as well as the approaches for eliminating the artificial anisotropy caused by the CA square cells. The main achievements in this field are addressed by presenting examples encompassing a wide variety of problems involving dendritic growth in pure diffusion and with melt convection, eutectic solidification, microstructure formation in multi-component alloys, dendritic growth with gas pore formation, and multi-scale simulation. Finally, the future prospects and challenges for the CA modeling of solidification microstructures are discussed.
Key words： alloy; solidification; microstructure; numerical modeling; cellular automaton
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