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A phase-field model for simulating various spherulite morphologies of semi-crystalline polymers |
Wang Xiao-Dong (王晓东), Ouyang Jie (欧阳洁), Su Jin (苏进), Zhou Wen (周文) |
Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710129, China |
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Abstract A modified phase-field model is proposed for simulating the isothermal crystallization of polymer melts. The model consists of a second-order phase-field equation and a heat conduction equation. It obtains its model parameters from the real material parameters and is easy to use with tolerable computational cost. Due to the use of a new free energy functional form, the model can reproduce various single crystal morphologies of polymer melts under quiescent conditions, including dendritic, lamellar branching, ring-banded, breakup of ring-banded, faceted hexagonal, and spherulitic structures. Simulation results of isotactic polystyrene crystals demonstrate that the present phase-field model has the ability to give qualitative predictions of polymer crystallization under isothermal and quiescent conditions.
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Received: 24 December 2012
Revised: 26 March 2013
Accepted manuscript online:
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PACS:
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61.50.Ah
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(Theory of crystal structure, crystal symmetry; calculations and modeling)
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81.30.-t
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(Phase diagrams and microstructures developed by solidification and solid-solid phase transformations)
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Fund: Project supported by the National Key Basic Research Program of China (973 Program) (Grant No. 2012CB025903), the Foundation for Fundamental Research of Northwestern Polytechnical University, China (Grant No. JCY20130141), the Doctorate Foundation of Northwestern Polytechnical University, China (Grant No. cx201019), and the Fund for Doctoral Students Newcomer Awards from the Ministry of Education of China. |
Corresponding Authors:
Ouyang Jie
E-mail: jieouyang@nwpu.edu.cn
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Cite this article:
Wang Xiao-Dong (王晓东), Ouyang Jie (欧阳洁), Su Jin (苏进), Zhou Wen (周文) A phase-field model for simulating various spherulite morphologies of semi-crystalline polymers 2013 Chin. Phys. B 22 106103
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[1] |
Taguchi K, Toda A and Miyamoto Y 2006 J. Macromal. Sci. B 45 1141
|
[2] |
Bassett D C and Vaughan A S 1985 Polymer 26 717
|
[3] |
Jin Y, Wang W and Su Z H 2011 Appl. Spectrosc. 65 454
|
[4] |
Gránásy L, Pusztai T and Warren J A 2004 J. Phys.: Condens. Matter 16 R1205
|
[5] |
Ketdee S and Anantawaraskul S 2008 Chem. Eng. Comm. 195 1315
|
[6] |
López J, Gómez P and Hernández J 2010 J. Comput. Phys. 229 6663
|
[7] |
Raabe1 D and Godara A 2005 Mater. Sci. Eng. 13 733
|
[8] |
Wendler F, Mennerich C and Nestler B 2011 J. Crystal Growth 327 189
|
[9] |
Zaeem M A, Yin H and Felicelli S D 2012 J. Mater. Sci. Technol. 28 137
|
[10] |
Gránásy L, Pusztai T, Tegze G, Warren J A and Douglas J F 2005 Phys. Rev. E 72 011605
|
[11] |
Wu K A and Voorhees P W 2012 Acta Mater. 60 407
|
[12] |
Kundin J, Siquieri R and Emmerich H 2013 Physica D 243 116
|
[13] |
Chen C, Chen Z, Zhang J, Yang T and Du X J 2012 Chin. Phys. B 21 118103
|
[14] |
Karma A and Rappel W J 1998 Phys. Rev. E 57 4323
|
[15] |
Xu H J, Matkar R and Kyu T 2005 Phys. Rev. E 72 011804
|
[16] |
Xu H J, Chiu H W, Okabe Y and Kyu T 2006 Phys. Rev. E 74 011801
|
[17] |
Warren J A and Boettinger W J 1995 Acta Metall. Mater. 43 689
|
[18] |
Kobayashi R, Warren J A and Carter W C 1998 Physica D 119 415
|
[19] |
Wang D, Shi T F, Chen J Z, An L J and Jia Y X 2008 J. Chem. Phys. 129 194903
|
[20] |
Kobayashi R 1993 Physica D 63 410
|
[21] |
Harrowell P R and Oxtoby D W 1987 J. Chem. Phys. 86 2932
|
[22] |
Hoffman J D and Weeks J J 1962 J. Res. Natl. Bur. Stand. A 66 13
|
[23] |
Zhou D, Shi A C and Zhang P W 2008 J. Chem. Phys. 129 154901
|
[24] |
Housmans J W, Peters G W M and Meijer H E H 2009 J. Therm. Anal. Calorim. 98 693
|
[25] |
Wang X D, Ouyang J and Su J 2010 Acta Phys. Sin. 59 6369 (in Chinese)
|
[26] |
Duan Y X, Zhang Y, Yan S K and Schultz J M 2005 Polymer 46 9015
|
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