复杂型腔充模中纤维取向的动态模拟

杨斌鑫; 欧阳洁; 栗雪娟

doi:10.7498/aps.61.044701

摘要

基于描述短纤维增强复合材料充模过程的气-固-液三相模型及同位网格有限体积法, 实现了纤维增强复合材料沿复杂型腔水平中面充模过程的动态模拟. 不仅得到了界面位置、各物理量的信息, 而且得到了纤维在型腔中的运动情况(包括纤维的平动和取向). 结果表明, 与沿型腔厚度方向纤维取向的表层-芯层结构不同, 纤维沿型腔水平中面的取向与型腔结构有关, 入口处纤维取向环绕型腔入口, 沿水平或竖直方向纤维取向与来流方向垂直, 型腔拐角处纤维取向指向拐点.

关键词:

Abstract

A dynamic simulation of fiber reinforced composite mold filling process in a complex cavity is presented based on the gas-solid-liquid three-phase model for mold filling and the finite volume method on non-staggered grids. The interface evolution and the information about physical quantities, such as velocity, stresses, pressure, etc, are given. The motions of fibers, including transformation and orientation, are obtained as well. Numerical results show that fiber orientation in the horizontal mid-plane is related to the shape of the cavity, which is quite different from the case of the skin-core-skin structure orientation along cavity thickness. In the inlet region, fibers encircle the cavity inlet, and fiber orientation is vertical to the incoming flow direction along the horizontal and the vertical regions of the cavity, while around the corners of the cavity, fibers point to the corners of the cavity.

Keywords:

作者及机构信息

1.
西北工业大学理学院应用数学系, 西安 710129;

2.
太原科技大学数学系, 太原 030024

基金项目: 国家重点基础研究发展计划(批准号: 2012CB025903), 国家自然科学基金项目(批准号：10871159)和太原科技大学基金(批准号： 20112011)资助的课题.

Authors and contacts

1.
Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710129, China;

2.
Department of Mathematics, Taiyuan University of Science and Technology, Taiyuan 030024, China

Funds: Project supported by the National Key Basic Research Program of China (Grant No. 2012CB025903), the National Natural Science Foundation of China (Grant No. 10871159) and the Taiyuan Univerity of Science and Technology Foundation, China(Grant No. 20112011).

参考文献

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[2]	Yerramalli C S, Waas A M 2007 CMES: Computer Modeling in Engineering & Sciences 6 1
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[6]	McGrath J J, Wille J M 1995 Composites Science and Technology 53 133
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[8]	Chung D H, Kwon T H 2002 Korea-Australia Theology Journal 14 175
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[10]	Ye H Y, Zhou C X 1994 Polymer Material Science and Engineering 10 73 (in Chinese) [叶红宇, 周持兴 1994 高分子材料科学与工程 10 73]
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施引文献

[1]	Zhang H P, Ouyang J, Ruan C L 2009 Acta Phys. Sin. 58 0619 (in Chinese) [张红平, 欧阳洁, 阮春蕾 2009 物理学报 58 0619]
[2]	Yerramalli C S, Waas A M 2007 CMES: Computer Modeling in Engineering & Sciences 6 1
[3]	Verbis J T, Tsinopoulos S V, Polyzos D 2002 CMES: Computer Modeling in Engineering & Sciences 3 803
[4]	Pyo S H, Lee H K 2009 CMES: Computer Modeling in Engineering & Sciences 40 271
[5]	Henry De Frahan H, Verleye V, Dupret F, Crochet M J 1992 Polymer Engineering and Science 32 254
[6]	McGrath J J, Wille J M 1995 Composites Science and Technology 53 133
[7]	Kim E G, Park J K, Jo S H 2001 Journal of Materials Processing Technology 111 225
[8]	Chung D H, Kwon T H 2002 Korea-Australia Theology Journal 14 175
[9]	Zhou W,Wang L G, Fan X J, Li Y J, Chen Y H 1995 CIESC Journal 46 493 (in Chinese) [周伟, 王立刚, 范西俊, 李玉景, 陈一泓 1995 化工学报 46 493]
[10]	Ye H Y, Zhou C X 1994 Polymer Material Science and Engineering 10 73 (in Chinese) [叶红宇, 周持兴 1994 高分子材料科学与工程 10 73]
[11]	Lin L F 1998 Materials Science and Technology 16 28 (in Chinese) [林兰芬 1998 材料科学与工艺 16 28]
[12]	Zhang H P, Ouyang J 2007 Acta Materiae Compositae Sinica 24 153 (in Chinese) [张红平, 欧阳洁 2007 复合材料学报 24 153]
[13]	Yang B X, Ouyang J, Jiang T, Liu C T 2010 CMES - Computer Modeling in Engineering and Sciences 63 191
[14]	Tsuji Y, Morikawa Y, Tanaka T 1987 International Journal of Multiphase Flow 19 187
[15]	Sussman M, Fatemi E, Smereka P, Osher S 1998 Computational Fluids 27 663
[16]	Tran-Cong S, Gay M, Efstathios E 2004 Powder Technology 139 21
[17]	Ouyang J, Li J H 1999 Chemical Engineering Science 54 2077
[18]	Jeffery G B 1992 Proceedings of the Royal Society of London Series A 102 161
[19]	Zhou K, Lin J Z 2008 Fibers and Polymers 9 39
[20]	Aboubacar M, Aguayo J P, Phillips P M, Phillips T N, Tamaddon- Jahromi H R, Snigerev B A, Webster M F 2005 Journal of Non- Newtonian Fluid Mechanics 126 207

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