黏弹性熔体充模流动诱导残余应力模拟

杨斌鑫; 欧阳洁

doi:10.7498/aps.61.234602

摘要

流动诱导残余应力是塑料制品产生应力开裂以及翘曲变形等现象的重要原因, 对成型过程中流动诱导残余应力研究具有重要意义. 推导了基于黏弹性eXtended Pom-Pom本构关系的能量方程, 进而建立了描述黏弹性流体非等温充模流动的气-液两相模型. 用同位网格有限体积法进行了求解, 得到了凝固层和剪切速率分布, 给出了充填结束时影响制件力学性能的流动诱导残余应力. 结果表明, 型腔中凝固层的厚度与注射速率有关, 注射速率越大, 充模时间越短, 凝固层越薄. 在制品表层紧邻模壁的地方, 剪切速率和残余应力几乎为零; 在制品次表层的位置, 制件内剪切速率和流动残余应力也较高; 而在远离模壁的地方, 剪切速率和流动残余应力也较小.

关键词:

Abstract

Flow induced residual stress is the major reason for stress cracking and warping of plastic products, the study on which is significant to overcome the flaws of products. In this paper, the energy equation based on Extended Pom-Pom constitutive relationship is deduced. A non-isothermal viscoelastic-Newtonian two-phase fluid model for mold filling process of viscoelastic materials is set up. The conservative interface capturing technique and the flow field solving method are coupled to perform a dynamic simulation. The distribution of the frozen skin layer and the shear rates are given. The flow induced residual stress is predicted and analyzed. The numerical results show that the thickness of the frozen skin layer is dependent on the injection velocity and a higher injection velocity corresponds to a thin frozen skin layer. Near the walls of the product, the shear rate and the residual stress are almost zero. At the position of subsurface, the shear rate and the residual stress reach their largest values. At the positions far away from the walls of the product, the shear rate and the residual stress are small.

Keywords:

作者及机构信息

杨斌鑫¹,
欧阳洁²

1.
太原科技大学应用科学学院, 太原 030024;

2.
西北工业大学理学院应用数学系, 西安 710129

基金项目: 国家重点基础研究发展计划(批准号: 2012CB025903)、山西省自然科学基金(批准号: 2012011019-2) 和太原科技大学博士基金(批准号: 20112011)资助的课题.

Authors and contacts

Yang Bin-Xin¹,
Ouyang Jie²

1.
School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China;

2.
Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China

Funds: Project supported by the National Basic Research Program of China (Grant No. 2012CB025903), the Natural Science Foundation of Shanxi Province, China (Grant No. 2012011019-2), and the Taiyuan University of Science and Technology Doctoral Sustentation Fund, China (Grant No. 20112011).

参考文献

[1]	Shen C Y 2009 Simulation of Injection Molding and Theories and Methods for Optimization of Moulds Designing (Beijing: Science Press) p1-23 (in Chinese) [申长雨 2009 注塑成型模拟及模具优化设计理论与方法(北京:科学出版社) 第1—23页]
[2]	Yang B X, Ouyang J, Li X J 2012 Acta Phys. Sin. 61 044701 [杨斌鑫, 欧阳洁, 栗雪娟 2012 物理学报 61 044701]
[3]	Sethian J A 1999 SIAM Review 41 199
[4]	Osher S, Sethian J A 1988 J. Comput. Phys. 79 12
[5]	Osher S, Fedkiw R P 2001 J. Comput. Phys. 169 463
[6]	Sussman M, Fatemi E, Smereka P, Osher S 1998 Computational Fluids 27 663
[7]	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
[8]	Peters G W M, Baaijens F P T 1997 Journal of Non-Newtonian Fluid Mechanics 68 205
[9]	Peters G W M 1993 Thermorheological Modeling of Viscoelastic Materials (Dordrecht: Kluwer Academic Publishers) p1-200
[10]	Oliveira P J, Pinho F T, Pinto G A 1998 Journal of Non-Newtonian Fluid Mechanics 79 1
[11]	Yang B X, Ouyang J, Jiang T, Liu C T 2010 CMES-Computer Modeling in Engineering and Sciences 63 191
[12]	Harten A, Osher S 1987 SIAM Journal Numerical Analysis 24 279
[13]	Liu X D, Osher S, Chan T 1994 J. Comput. Phys. 115 217
[14]	Jiang G S, Peng D P 2000 SIAM Journal on Scientific Computing 21 2126
[15]	Harten A 1983 J. Comput. Phys. 49 357
[16]	Beaumont J P, Nagel R, Sherman R 2002 Successful Injection Molding: Process, Design and Simulation (Cincinnati: Hanser Publisher) p1-391

施引文献

[1]	Shen C Y 2009 Simulation of Injection Molding and Theories and Methods for Optimization of Moulds Designing (Beijing: Science Press) p1-23 (in Chinese) [申长雨 2009 注塑成型模拟及模具优化设计理论与方法(北京:科学出版社) 第1—23页]
[2]	Yang B X, Ouyang J, Li X J 2012 Acta Phys. Sin. 61 044701 [杨斌鑫, 欧阳洁, 栗雪娟 2012 物理学报 61 044701]
[3]	Sethian J A 1999 SIAM Review 41 199
[4]	Osher S, Sethian J A 1988 J. Comput. Phys. 79 12
[5]	Osher S, Fedkiw R P 2001 J. Comput. Phys. 169 463
[6]	Sussman M, Fatemi E, Smereka P, Osher S 1998 Computational Fluids 27 663
[7]	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
[8]	Peters G W M, Baaijens F P T 1997 Journal of Non-Newtonian Fluid Mechanics 68 205
[9]	Peters G W M 1993 Thermorheological Modeling of Viscoelastic Materials (Dordrecht: Kluwer Academic Publishers) p1-200
[10]	Oliveira P J, Pinho F T, Pinto G A 1998 Journal of Non-Newtonian Fluid Mechanics 79 1
[11]	Yang B X, Ouyang J, Jiang T, Liu C T 2010 CMES-Computer Modeling in Engineering and Sciences 63 191
[12]	Harten A, Osher S 1987 SIAM Journal Numerical Analysis 24 279
[13]	Liu X D, Osher S, Chan T 1994 J. Comput. Phys. 115 217
[14]	Jiang G S, Peng D P 2000 SIAM Journal on Scientific Computing 21 2126
[15]	Harten A 1983 J. Comput. Phys. 49 357
[16]	Beaumont J P, Nagel R, Sherman R 2002 Successful Injection Molding: Process, Design and Simulation (Cincinnati: Hanser Publisher) p1-391

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