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基于充模过程的两相黏弹性流体模型, 采用同位网格有限体积法, 结合浸入边界法和界面追踪的复合水平集流体体积方法实现了带嵌件型腔内充模过程的动态模拟. 基于上述模型和算法模拟了熔体前沿界面及熔接线的动态演化过程, 而且通过线性应力-光学定律得到了熔接线附近的流动诱导应力分布情况; 讨论了熔体温度及模具温度对熔接线区域凝固层厚度的影响. 数值结果表明: 本文提出的方法可用于模拟复杂型腔内的充模过程以及熔接线的自动追踪; 由于聚合物黏弹性熔体流动的复杂性, 当两股熔体相遇后, 熔接线不同位置的应力分布变化较大; 熔体或模具温度越高, 熔接线区域凝固层厚度越薄, 提高熔体或模具温度能够改善甚至消除充模过程中的熔接线.
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关键词:
- 浸入边界法 /
- 复合水平集流体体积方法 /
- 有限体积法 /
- 熔接线
[1] Kim S W, Turng L S 2006 Polym. Eng. Sci. 46 1263
[2] Hetu J F, Gao D M, Rejon A G, Salloum G 1998 Polym. Eng. Sci. 38 223
[3] Jiang T, Ouyang J, Ren J L 2012 Comp. Phys. Comm. 183 50
[4] Chiu P H, Lin Y T A 2011 J. Comput. Phys. 230 185
[5] Liu R X, Shu Q W 2003 Some New Methods of Computational Fluid Dynamics (Beijing: Science Press) (in Chinese) [刘儒勋, 舒其望 2003 计算流体力学的若干新方法(北京:科学出版社)]
[6] Bonito A, Picasso M, Laso M 2006 J. Comput. Phys. 215 691
[7] Han Y, Cai G B, Xu X, Renou B, Boukhalfa A 2014 Chin. Phys. B 23 058901
[8] Wang F, Li J L, Yang B X 2014 Acta Phys. Sin. 63 084601 (in Chinese) [王芳, 李俊林, 杨斌鑫 2014 物理学报 63 084601]
[9] Park I R, Kim K S, Kim J, Van S H 2009 Int. J. Numer. Meth. Fl. 61 1331
[10] Sussman M 2003 J. Comput. Phys. 187 110
[11] Dai J F, Fan X P, Meng B, Liu J F 2015 Acta Phys. Sin. 64 094704 (in Chinese) [戴剑锋, 樊学萍, 蒙波, 刘骥飞 2015 物理学报 64 094704]
[12] Li Q, Ouyang J, Yang B X, Li X J 2012 Appl. Math. Model. 36 2262
[13] Zheng S P, Ouyang J, Zhao Z F, Zhang L 2012 Comput. Math. Appl. 64 2860
[14] Ren J L, Lu W G, Jiang T 2015 Acta Phys. Sin. 64 080202 (in Chinese) [任金莲, 陆伟刚, 蒋涛 2015 物理学报 64 080202]
[15] Shen C Y 2009 Simulation of Injection Molding and Theories and Methods for Optimization of Moulds Designing (Beijing: Science Press) (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)]
[16] Yang B X, Ouyang J, Wang F 2013 J. Appl. Math. 2013 856171
[17] Araujo B J, Teixeira J C F, Cunha A M, Groth C P T 2009 Int. J. Numer. Meth. Fl. 59 801
[18] Peskin C S 1972 J. Comput. Phys. 10 252
[19] Yuan R F, Zhong C W, Zhang H 2015 J. Comput. Phys. 296 184
[20] Cai Li, Gao H, Luo X Y, Nie Y F 2015 Sci. China: Phys. Mech. Astron. 45 024702 (in Chinese) [蔡力, 高昊, 罗小玉, 聂玉峰 2015 中国科学: 物理, 力学, 天文学 45 024702]
[21] Boronat T, Segui V J, Peydro M A, Reig M J 2009 J. Mater. Process. Tech. 209 2735
[22] Isayev A I, Shyu G D, Li C T 2006 J. Polym. Sci. Pol. Phys. 44 622
[23] Osher S, Fedkiw R 2003 Level Set Methods and Dynamic Implicit Surfaces (New York: Springer) p9
[24] Pijl S P 2005 Ph. D. Dissertation (Delft: Delft University of Technology)
[25] Li Q, Ouyang J, Yang B X, Jiang T 2011 Appl. Math. Model. 35 257
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[1] Kim S W, Turng L S 2006 Polym. Eng. Sci. 46 1263
[2] Hetu J F, Gao D M, Rejon A G, Salloum G 1998 Polym. Eng. Sci. 38 223
[3] Jiang T, Ouyang J, Ren J L 2012 Comp. Phys. Comm. 183 50
[4] Chiu P H, Lin Y T A 2011 J. Comput. Phys. 230 185
[5] Liu R X, Shu Q W 2003 Some New Methods of Computational Fluid Dynamics (Beijing: Science Press) (in Chinese) [刘儒勋, 舒其望 2003 计算流体力学的若干新方法(北京:科学出版社)]
[6] Bonito A, Picasso M, Laso M 2006 J. Comput. Phys. 215 691
[7] Han Y, Cai G B, Xu X, Renou B, Boukhalfa A 2014 Chin. Phys. B 23 058901
[8] Wang F, Li J L, Yang B X 2014 Acta Phys. Sin. 63 084601 (in Chinese) [王芳, 李俊林, 杨斌鑫 2014 物理学报 63 084601]
[9] Park I R, Kim K S, Kim J, Van S H 2009 Int. J. Numer. Meth. Fl. 61 1331
[10] Sussman M 2003 J. Comput. Phys. 187 110
[11] Dai J F, Fan X P, Meng B, Liu J F 2015 Acta Phys. Sin. 64 094704 (in Chinese) [戴剑锋, 樊学萍, 蒙波, 刘骥飞 2015 物理学报 64 094704]
[12] Li Q, Ouyang J, Yang B X, Li X J 2012 Appl. Math. Model. 36 2262
[13] Zheng S P, Ouyang J, Zhao Z F, Zhang L 2012 Comput. Math. Appl. 64 2860
[14] Ren J L, Lu W G, Jiang T 2015 Acta Phys. Sin. 64 080202 (in Chinese) [任金莲, 陆伟刚, 蒋涛 2015 物理学报 64 080202]
[15] Shen C Y 2009 Simulation of Injection Molding and Theories and Methods for Optimization of Moulds Designing (Beijing: Science Press) (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)]
[16] Yang B X, Ouyang J, Wang F 2013 J. Appl. Math. 2013 856171
[17] Araujo B J, Teixeira J C F, Cunha A M, Groth C P T 2009 Int. J. Numer. Meth. Fl. 59 801
[18] Peskin C S 1972 J. Comput. Phys. 10 252
[19] Yuan R F, Zhong C W, Zhang H 2015 J. Comput. Phys. 296 184
[20] Cai Li, Gao H, Luo X Y, Nie Y F 2015 Sci. China: Phys. Mech. Astron. 45 024702 (in Chinese) [蔡力, 高昊, 罗小玉, 聂玉峰 2015 中国科学: 物理, 力学, 天文学 45 024702]
[21] Boronat T, Segui V J, Peydro M A, Reig M J 2009 J. Mater. Process. Tech. 209 2735
[22] Isayev A I, Shyu G D, Li C T 2006 J. Polym. Sci. Pol. Phys. 44 622
[23] Osher S, Fedkiw R 2003 Level Set Methods and Dynamic Implicit Surfaces (New York: Springer) p9
[24] Pijl S P 2005 Ph. D. Dissertation (Delft: Delft University of Technology)
[25] Li Q, Ouyang J, Yang B X, Jiang T 2011 Appl. Math. Model. 35 257
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