Phase field modeling of the ring-banded spherulites of crystalline polymers: The role of thermal diffusion

doi:10.1088/1674-1056/23/12/126103

中国物理B ›› 2014, Vol. 23 ›› Issue (12): 126103-126103.doi: 10.1088/1674-1056/23/12/126103

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Phase field modeling of the ring-banded spherulites of crystalline polymers: The role of thermal diffusion

王晓东, 欧阳洁, 苏进, 周文

Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China

收稿日期:2013-11-19 修回日期:2014-08-20 出版日期:2014-12-15 发布日期:2014-12-15
基金资助:
Project supported by the National Key Basic Research Program of China (Grant No. 2012CB025903), the National Natural Science Foundation of China (Grant No. 11402210), the Northwestern Polytechnical University Foundation for Fundamental Research (Grant No. JCY20130141), and the Ministry of Education Fund for Doctoral Students Newcomer Awards of China.

Phase field modeling of the ring-banded spherulites of crystalline polymers: The role of thermal diffusion

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

Received:2013-11-19 Revised:2014-08-20 Online:2014-12-15 Published:2014-12-15
Contact: Ouyang Jie E-mail:jieouyang@nwpu.edu.cn
Supported by:
Project supported by the National Key Basic Research Program of China (Grant No. 2012CB025903), the National Natural Science Foundation of China (Grant No. 11402210), the Northwestern Polytechnical University Foundation for Fundamental Research (Grant No. JCY20130141), and the Ministry of Education Fund for Doctoral Students Newcomer Awards of China.

摘要/Abstract

摘要：

The ring-banded spherulite is a special morphology of polymer crystals and has attracted considerable attention over recent decades. In this study, a new phase field model with polymer characteristics is established to investigate the emergence and formation mechanism of the ring-banded spherulites of crystalline polymers. The model consists of a non-conserved phase field representing the phase transition and a temperature field describing the diffusion of the released latent heat. The corresponding model parameters can be obtained from experimentally accessible material parameters. Two-dimensional calculations are carried out for the ring-banded spherulitic growth of polyethylene film under a series of crystallization temperatures. The results of these calculations demonstrate that the formation of ring-banded spherulites can be triggered by the self-generated thermal field. Moreover, some temperature-dependent characteristics of the ring-banded spherulites observed in experiments are reproduced by simulations, which may help to study the effects of crystallization temperature on the ring-banded structures.

关键词: ring-banded spherulite, phase field model, thermal diffusion, crystalline polymers

Abstract:

Key words: ring-banded spherulite, phase field model, thermal diffusion, crystalline polymers

中图分类号: (Theory of crystal structure, crystal symmetry; calculations and modeling)

61.50.Ah

81.10.-h (Methods of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)

王晓东, 欧阳洁, 苏进, 周文. Phase field modeling of the ring-banded spherulites of crystalline polymers: The role of thermal diffusion[J]. 中国物理B, 2014, 23(12): 126103-126103.

Wang Xiao-Dong (王晓东), Ouyang Jie (欧阳洁), Su Jin (苏进), Zhou Wen (周文). Phase field modeling of the ring-banded spherulites of crystalline polymers: The role of thermal diffusion[J]. Chin. Phys. B, 2014, 23(12): 126103-126103.

参考文献 0


[1]	Toda A, Okamura M, Taguchi K, Hikosaka M and Kajioka H 2008 Macromolecules 41 2484 doi: 10.1021/ma702267e

[2]	Keller A 1955 J. Polym. Sci. 17 291 doi: 10.1002/pol.1955.120178414

[3]	Woo E M and Chen Y F 2009 Polymer 50 4706 doi: 10.1016/j.polymer.2009.07.040

[4]	Jin Y, Wang W and Su Z H 2011 Appl. Spectrosc. 65 454 doi: 10.1366/10-06143

[5]	Zhang Y F, Liao X, Luo X L, Liu S L, Yang Q and Li G X 2014 RSC Adv. 4 10144 doi: 10.1039/c3ra47503d

[6]	Li J, Hu Z, Wang Z B, Gu Q, Wang Y Z and Huang Y D 2013 Ind. Eng. Chem. Res. 52 1892 doi: 10.1021/ie302406t

[7]	Li Y G, Huang H Y, Wang Z B and He T B 2014 Macromolecules 47 1783 doi: 10.1021/ma402579d

[8]	Woo E M and Nurkhamidah S 2013 Macromol. Chem. Phys. 214 673 doi: 10.1002/macp.201200673

[9]	Hikima Y, Morikawa J and Hashimoto T 2013 Macromolecules 46 1582 doi: 10.1021/ma302560q

[10]	Lotz B and Cheng S Z D 2005 Polymer 46 577 doi: 10.1016/j.polymer.2004.07.042

[11]	Wang Z B, Alfonso G C, Hu Z J, Zhang J D and He T B 2008 Macromolecules 41 7584 doi: 10.1021/ma8005697

[12]	Chen LQ 2002 Ann. Rev. Mater. Res. 32 113 doi: 10.1146/annurev.matsci.32.112001.132041

[13]	Tang S, Backofen R, Wang J C, Zhou Y H, Voigt A and Yu Y M 2011 J. Cryst. Growth 334 146 doi: 10.1016/j.jcrysgro.2011.08.027

[14]	Lin H K, Chen C C and Lan C W 2011 J. Cryst. Growth 318 51 doi: 10.1016/j.jcrysgro.2010.11.013

[15]	Gránásy L, Pusztai T, Tegze G, Warren J A and Douglas J F 2005 Phys. Rev. E 72 011605 doi: 10.1103/PhysRevE.72.011605

[16]	Kyu T, Chiu H W, Guenthner A J, Okabe Y, Saito H and Inoue T 1999 Phys. Rev. Lett. 83 2749 doi: 10.1103/PhysRevLett.83.2749

[17]	Xu H J, Chiu H W, Okabe Y and Kyu T 2006 Phys. Rev. E 74 011801

[18]	Xu H J, Matkar R and Kyu T 2005 Phys. Rev. E 72 011804 doi: 10.1103/PhysRevE.72.011804

[19]	Xu H J, Keawwattana W and Kyu T 2005 J. Chem. Phys. 123 124908 doi: 10.1063/1.2036976

[20]	Wang D, Shi T F, Chen J Z, An L J and Jia Y X 2008 J. Chem. Phys. 129 194903 doi: 10.1063/1.2985652

[21]	Wang D, Jin Z K, Xing Y, Gao H and Wang X K 2013 Comp. Mater. Sci. 68 23 doi: 10.1016/j.commatsci.2012.08.016

[22]	Wang D, Miao Z C, Wang X K and Cao H 2013 Acta Polym. Sin. 2 208

[23]	Wang X D, Ouyang J, Su J and Zhou W 2013 Chin. Phys. B 22 106103

[24]	Wang X D, Ouyang J, Su J and Zhou W 2014 J. Chem. Phys. 140 114102 doi: 10.1063/1.4868099

[25]	Schultz J M 2003 Polymer 44 433 doi: 10.1016/S0032-3861(02)00724-3

[26]	Kobayashi R 1993 Physica D 63 410 doi: 10.1016/0167-2789(93)90120-P

[27]	Harrowell P R and Oxtoby D W 1987 J. Chem. Phys. 86 2932 doi: 10.1063/1.452044

[28]	Hoffman J D and Weeks J J 1962 J. Res. Natl. Bur. Stand. Sec. A 66 13

[29]	Xu H and Cebe P 2005 Macromolecules 38 770 doi: 10.1021/ma048042l

[30]	Karma A and Rappel W J 1998 Phys. Rev. E 57 4323 doi: 10.1103/PhysRevE.57.4323

[31]	Boettinger W J, Warren J A, Beckermann C and Karma A 2002 Ann. Rev. Mater. Res. 32 163 doi: 10.1146/annurev.matsci.32.101901.155803

[32]	Warren J A, Kobayashi R, Alexander E, Lobkovsky E and Carter W C 2003 Acta Mater. 51 6035 doi: 10.1016/S1359-6454(03)00388-4

[33]	Janimak J J, Markey L and Stevens G C 2001 Polymer 42 4675 doi: 10.1016/S0032-3861(00)00637-6

[34]	Sasaki S, Sakaki Y, Takahara A and Kajiyama T 2002 Polymer 43 3441 doi: 10.1016/S0032-3861(02)00158-1

[35]	Mark J E 2000 Polymer Data Handbook (Oxford: Oxford University Press)

[36]	Mark J E 2002 Handbook of Physical Properties of Polymers (New York: Springer)

[37]	Surface Energy Data for PE: Polyethylene, CAS # 9002-88-4

[38]	Housmans J W, Peters G W M and Meijer H E H 2009 J. Therm. Anal. Calorim. 98 693 doi: 10.1007/s10973-009-0532-3

[39]	Lauritzen J I and Hoffman J D 1960 J. Res. Natl. Bur. Stand. Sec. A 64 73

[40]	Ren M Q, Mo Z S, Chen Q Y, Song J B, Wang S Y, Zhang H F and Zhao Q X 2004 Polymer 45 3511 doi: 10.1016/j.polymer.2004.03.027

[41]	Zhang Y Q, Fang H G, Wang Z K, Tang M and Wang Z G 2014 CrystEngComm 16 1026 doi: 10.1039/c3ce42083c

[42]	Pakula T and Kryszewski M 1976 Eur. Polym. J. 12 47 doi: 10.1016/0014-3057(76)90122-1

Phase field modeling of the ring-banded spherulites of crystalline polymers: The role of thermal diffusion

Phase field modeling of the ring-banded spherulites of crystalline polymers: The role of thermal diffusion

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