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A Modified Phase-Field Model for Polymer Crystal Growth
Bin-xin Yang*,Chen-hui Zhang,Fang Wang
Author NameAffiliationE-mail
Bin-xin Yang* Department of Mathematics, Taiyuan University of Science and Technology, Taiyuan 030024, China binxinyang@tyust.edu.cn 
Chen-hui Zhang Department of Mathematics, Taiyuan University of Science and Technology, Taiyuan 030024, China  
Fang Wang Department of Mathematics, Taiyuan University of Science and Technology, Taiyuan 030024, China  
Abstract:
The irrationality of existing phase field model is analyzed and a modified phase-field model is proposed for polymer crystal growth, in which the parameters are obtained from real materials and very simple to use, and most importantly, no paradoxical parameters appeared in the model. Moreover, it can simulate different microstructure patterns owing to the use of a new different free energy function for the simulation of morphologies of polymer. The new free energy function considers both the cases of T<Tm and T≥Tm, which is more reasonable than that in published literatures that all ignored the T≥Tm case. In order to show the validity of the modified model, the finite difference method is used to solve the model and different crystallization morphologies during the solidification process of isotactic polystyrene are obtained under different conditions. Numerical results show that the growth rate of the initial secondary arms is obviously increased as the anisotropy strength increases. But the anisotropy strength seems to have no apparent effect on the global growth rate. The whole growth process of the dendrite depends mainly upon the latent heat and the latent heat has a direct effect on the tip radius and tip velocity of side branches.
Key words:  Phase-field method  Polymer crystallization  Numerical simulation  Dendritic  Lamellar
FundProject:This work is supported by the National Natural Science Foundation of China (No.11402210), the Natural Science Foundation of Shanxi Province (No.2012011019-2), and the Doctoral Fund of Taiyuan University of Science and Technology (No.20152024).
一个改进的聚合物结晶生长的相场模型
杨斌鑫*,张晨辉,王芳
摘要:
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DOI:10.1063/1674-0068/30/cjcp1703050
分类号: