Title A 3D phase-field model for simulating the crystal growth of semi-crystalline polymers
Authors Wang, Xiaodong
Zhang, Hongxi
Zhou, Wen
Ouyang, Jie
Affiliation Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China.
Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China.
Keywords Phase-field
Crystallization
Morphology
Polymer
Anisotropic function
3D
POLYCRYSTALLINE SOLIDIFICATION
NUMERICAL-SIMULATION
DENDRITIC GROWTH
CRYSTALLIZATION
NUCLEATION
SPHERULITES
DIMENSIONS
DYNAMICS
Issue Date 2017
Publisher INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
Citation INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. 2017, 115, 194-205.
Abstract In this study a 3D phase-field model, which is a generalization of the 2D phase-field model we ever presented, has been established for investigating the crystal growth of semi-crystalline polymers. By coupling a non-conserved crystal order parameter with a temperature field which is generated by latent heat of crystallization, our developed model can obtain its model parameters from real material parameters. Unlike the model of metals and small molecular compounds, this model has considered the partial crystallization property of semi-crystalline polymers. Moreover, due to the long-chain molecular structure, polymer crystallizations usually exhibit complex anisotropy and have polymorphous nature. In order to account for the various anisotropy of interfacial energy in 3D, three anisotropic functions for describing the anisotropic interfacial growth patterns are deduced phenomenologically which are based on a number of existing experimental facts. Simulation results have preliminarily demonstrated the good performance of our phase-field model in reproducing the complex and diverse morphology of semi crystalline polymers in 3D. Several kinds of crystal patterns, which have been observed in experiments, can be reproduced. (C) 2017 Elsevier Ltd. All rights reserved.
URI http://hdl.handle.net/20.500.11897/497552
ISSN 0017-9310
DOI 10.1016/j.ijheatmasstransfer.2017.08.016
Indexed SCI(E)
EI
Appears in Collections: 数学科学学院

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