Constitutive Equations of Polymer Melts under Vibration Force Fields: A Review

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 5, Issue 1, 2004, Pages 37-44

  Zhang, Juan ^a  

^a DONGHUA UNIVERSITY   (China)

Author keywords

Constitutive equation; Entanglement density; Structure network; Vibration

Indexed keywords

EID: 1142264395     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2004.5.1.37     Document Type: Review

References (54)

1. Dealy, J. M., and Wissbrun, K. F., Melt rheology and its role in plastics processing, Van Nostrand Reinhold, New York, NY, 1990: 219-224
2. Tee, T. T., and Dealy, J. M., "Nonlinear viscoelasticity of polymer melts", Transactions of the Society of Rheology, 19(1975): 595-615
3. Qu,J.-P., Dissertation of Doctoral Degree, Sichuan University, 1999 (in Chinese)
4. Coleman, B. D., and W. Noll, Ann. N. Y., Acad. Sci. 89(1961): 672
5. Coleman, B. D., and Markovitz, H., J. Appl. Phys., 35(1964): 1
6. Booij, H.C., "Influence of superimposed steady shear flow on the dynamic properties of non-Newtonian fluids, I. Measurement on non-Newtonian fluids", Rheologica Acta, 5(1966): 215-221
7. Booij, H.C., "Influence of superimposed steady shear flow on the dynamic properties of non-Newtonian fluids, II Theoretical approach based on the Oldroy theory", Rheologica Acta, 5(1966): 221-227
8. Oldroyd, J. G., Proc. Roy. Soc. (London), A 218(1953): 122
9. Oldroyd, J. G., Proc. Roy. Soc. (London), A 245(1958): 278
10. Isayev, A.I., and Hieber C. A., "Oscillatory shear flow of polymeric systems", Journal of Polymer Science: Polymer Physics Edition, 20(1982): 423-440
11. Isayev, A.I., and Wong C. M., "Parallel superposition of small- and large-amplitude oscillations upon steady shear flow of polymer fluids", J. of Polymer Science: Part B: Polymer Physcics, 26(1988): 2303-2327
12. Wong, C. M., and Isayev A. I., "Orthogonal superposition of small and large amplitude oscillations upon steady shear flow of polymer fluids", Rheologica Acta, 28(1989): 176-189
13. Leonov, A. I., Lipkina, E. Kh., Paskhin, E. D., Prokunin, A. N., Rheol. Acta, 15(1976): 411
14. Wang Ke-jian, and Zhou Chi-xing, Journal of Shanghai Jiaotong University, 34(11)(2000): 1535-1538(in Chinese)
15. Lodge A. S., Trans. Faraday Soc., 52(1956): 120
16. Lodge A. S., Elastic Liquids, Academic Press, London, 1964
17. Yamamoto, M., J. Phys Soc. Japan, 11(1956): 413
18. Yamamoto, M., J. Phys. Soc. Japan, 13(1958): 1200
19. Marrucci, G., Titomanlio, G., and Sarti, G. C., "Testing of a constitutive equation for entangled networks by elongational and shear data of polymer melts", Rheologica Acta, 12(1973): 269-275
20. Acierno, D., La Mantia, F. P., Marrucci, G., Titomanlio, G., "A nonlinear viscoelastic model with structure-dependent relaxation times. I. Basic formulation", J. Non-Newtonian Fluid Mech. 1(1976): 125-145
21. De Cleyn, G., and Mewis, J., "A constitutive equation for polymer liquids: Application to shear flow", J. Non-Newtonian Fluid Mech. 9(1981): 91-105
22. Mewis, J., and De Cleyn, G., "Shear history effects in the spinning of polymers", AIChE J., 28(1982): 900-907
23. Mewis, J., and Denn, M. M., "Constitutive equations based on the transient network concept", J. Non-Newtonian Fluid Mech. 12(1983): 69-83
24. Moldenaers, P., and Mewis, J., "Extensional flow predictions of some differential models", Elsevier Applied Science, London, 1986: 351-355
25. Moldenaers, P., and Mewis, J., "Predictions of differential models with variable microstructure on macromolecules", Montreal, Canada, July, 1990: 8-13
26. Doeksen, D.K., Jongschaap, R.J., and Kamphuis, H., "Comment on the Berkeley kinetic network model", Polym. Eng. Sci., 25 (1985): 782-787
27. Jongschaap, R.J., Kamphuis, H., and Doeksen, D.K., "A generalized network model for polymeric liquids", Rheol. Acta, 22(1983): 539-549
28. Liu, T.Y., Soong, D.S., and Williams, M.C., "Transient and steady rheology of polydisperse entangled melts predictions of a kinetic network model and data comparisons", J. Polym. Sci., 22(1984): 1561-1587
29. Liu, T. Y., Soong, D.S., and Williams, M.C., "Time-dependent rheological properties and transient structural states of entangled polymeric Liquids - A kinetic network model", Polym Eng.Sci, 21(1981): 675-687
30. Liu, T.Y., Mead, D.W., Soong, D.S., and Williams, M.C., "A parallel-plate rheometer for the measurement of steady-state and transient rheological properties", Rheologica Acta, 22(1983):81-89
31. De Kee, D., and Chan Man Fong, C. F., "Rheological properties of structured fluids", Polym. Eng. Sci., 34(1994): 438-445
32. De Kee, D., and Chan Man Fong, C. F., "Elongational, hysteresis and oscillatory flows of complex fluids", Polym. Eng. Sci., 35(1995): 1031-1036
33. Giacomin, A. J., and Jeyaseelan, R. S., "A constitutive theory for polyolefins in large amplitude oscillatory shear", Polymer Engineering and Science, 35(1995): 768-777
34. Giacomin, A.J., and Oakley, J.G., "Structural network models for molten plastics evaluated in large amplitude oscillatory shear", J.Rheol., 36(8)(1992): 1529-1546
35. Giacomin, A.J., Jeyaseelan, R.S., and Stanfill, K.O., "Relating blow moldability to large amplitude oscillatory shear behavior", Polym. Eng.Sci., 34(11)(1994):888-893
36. Jeyaseelan, R.S., Giacomin, A.J., "Predicting polymer melt behavior near the inception of wall slip in oscillatory shear", J. Non-Newtonian Fluid Mech., 53(1994): 99-111
37. Giacomin, A.J., Jeyaseelan, R.S., Samurkas, T., and Dealy, J.M., "Validity of separable BKZ model for large amplitude oscillatory shear", J.Rheol,31 (5)(1993): 811-826
38. Giacomin, A.J., Samurkas, T., and Dealy, J.M., "A novel sliding plate rheometer for molten plastics", Polym Eng. Sci., 29(1989):499-504
39. Jeyaseelan., R.S., and Giacomin, A.J., "Best fit for differential constitutive model parameters to non-linear oscillation data", J. Non-Newtonian Fluid Mech., 47(1993): 267-280
40. Yosik, J. A., Giacomin, A.J., and Paula, Moldenaers., "A kinetic network model for nonlinear flow behavior of molten plastics in both shear and extension". J.Non-Newtonian Fluid Mech. 70(1997): 103-123
41. Scon Keat Lan, Giacomin, A.J., and Fan, Ding, "Dynamic Slip and Nonlinear Viscoelasticity", Polym. Eng. Sci. 40(2000): 5079-524
42. Giacomin, A. J., and Dealy, J.M., Large Amplitude Oscillatory Shear, Techniques in Rheological Measurement, London, 1992
43. Giacomin, A. J., and Jeyaseelan, R. S., "How affine is the entanglement network of molten low-density polyethylene in large amplitude oscillatory shear"? Transactions of the ASME, 116(1994): 14-18
44. Phan-Thien, N., "A nonlinear network viscoelastic model", Journal of Rheology, 22(1978): 259-283
45. Larson, R. G., "A constitutive equation for polymer melts based on partially extending strand convection", Journal of Rheology, 28(1984): 545-571
46. Zhang, J., Dissertation of Doctoral Degree, South China University of Technology, 2003
47. Zhang.J., Qu,J.-P., "Nonaffine Network Structural Model for Molten Low-Density Polyethlene and High-Density Polyethylene in Oscillatory Shear" Journal of Shanghai University, 6(4)(2002): 292-296
48. Zhang,J., Qu J.-P., "Nonaffine network structural models for polymer melts in oscillatory shear force field I. Kinetics rate equation", China Plastics, 16(5)(2002): 76-79 (in Chinese)
49. Zhang, J., Qu J-P., "Nonaffine network structural models for polymer melts in oscillatory shear force field II. Nonaffine network structural models", China Plastics, 16(6)(2002): 23-26(in Chinese)
50. Zhang.J., Qu,J.-P., "Nonaffine network structural model of molten high polymer in sinusoidal strain field", Mechanics in Engineering, 25(2)(2003): 15-18 (in Chinese)
51. Zhang J., Qu J.-P., "Effect on the entanglement density of polymer melt in oscillatory shear force field", J. of South China University of Technology, 31(4)(2003): 1-5
52. Zhang,J., Qu,J.-P., "Nonaffine network structural model of molten high polymer and its numerical analyzes", Chinese Quarterly of Mechanics, 24(1)(2003): 96-102 (in Chinese)
53. Zhang,J., Qu,J.-P., "Transient network structural model of polymer melts for extrusion flow in vibration force field", Journal of South China University of Technology, 30(11)(2002): 21-262(in Chinese)
54. Gordon, R. J., and Schowalter, W. R., "Anisotropic fluid theory: A different approach to the dumbbell theory of dilute polymer solutions", Transactions of The Society of Rheology, 16(1972): 79-97