物理学报2012，Vol.61Issue(22)：452-461,10.
双边扩散枝晶生长的定量相场模型
Quantitative phase-field model for dendritic growth with two-sided diffusion
摘要
Abstract
A quantitative phase-field (PF) model with an anti-trapping current (ATC) is developed to simulate the dendritic growth with two- sided diffusion. The asymptotic analysis is performed at the second-order for the PF equations coupled with nonlinear thermodynamic properties and an ATC term under the equal chemical potential condition. The PF mobility and ATC are derived based on the asymptotic analysis in the thin interface limit, and the solute drag model. Then the model is reduced to the dilute solution limit for dendrite solidification of binary alloys. The test of convergence with respect to the interface width exhibits an excellent convergent behavior of the proposed model. The performance of the model is then validated by comparing PF simulations with the predictions of the Gibbs-Thomson relation, the linearized solvability theory, and the modified-Lipton-Glicksman-Kurz (M-LGK) analytical model, for the isothermal dendritic growth of an Fe-0.15 mol%C alloy. The results demonstrate quantitative capabilities of the model that effectively suppresses the abnormal solute trapping effect when the interface is taken artificially to be wide. It is also found that the present model can quantitatively describe dendrite growth with various solid diffusivities, ranging from the case with one-sided diffusion to the symmetrical model.关键词
相场模拟/凝固/枝晶生长/双边扩散Key words
phase-field modelling/solidification/dendritic growth/two-sided diffusion分类
化学化工引用本文复制引用
潘诗琰,朱鸣芳..双边扩散枝晶生长的定量相场模型[J].物理学报,2012,61(22):452-461,10.基金项目
美国AOSmithCorporateTechnologyCenter,国家自然科学基金（批准号：50971042）和江苏省先进金属材料高技术研究重点实验室开放课题（AMM201005）资助的课题. （）
