金属凝固过程中热动力学相场模型——相场变量扩散模型的推导  

Thermal Kinetics Phase Field Model for Metal Solidification——Mathematic Derivation of Dendrite Growth Phase Field Variable Diffusion Model

作　　者：丁恒敏[1] 张铁桥[1] 浦吕春[1] 

机构地区：[1]昆明理工大学材料科学与工程学院,云南昆明650093

出　　处：《热加工工艺》2013年第9期48-50,共3页Hot Working Technology

基　　金：国家自然科学基金资助项目(50964009);云南省科技厅应用基金面上项目(2009ZC030M)

摘　　要：相场方程用于模拟枝晶生长,已有近20年的历史。现有的相场方程是直接通过Ginzburg-Landau方程导出的,虽然得到了广泛应用,但方程中各个变量物理意义并没有搞清,国内外研究者甚至都作了许多错误的解读。本文以固相率作为相场变量,在坚实的热力学、传热学基础理论上,给出了金属凝固过程中科学严谨的相变量扩散模型及其推导过程。The phase field equation for the simulation of dendritic growth has a history of near twenty years. The existing phase field equation was directly derived by Ginzburg-Landau equations. However, by widely used, the physical meaning of each variable in the equation is not clear. So the domestic and foreign researchers have made a lot of mistakes and interpretation. Using the solid fraction as a phase field variables in the field, based on the thermodynamics and heat transfer theory, a rigorous scientific phase variable diffusion model for the pure metal solidification and its derivation process were given.

关 键 词：枝晶生长 凝固过程 相场变量扩散模型 数学推导 

分 类 号：TG111.4[金属学及工艺—物理冶金]