Viscosity predictions for model miscible polymer blends: Including self-concentration, double reptation, and tube dilation

Journal of Rheology

Volumn 49, Issue 6, 2005, Pages 1277-1302

  Haley, Jeffrey C ^a   Lodge, Timothy P ^a  

^a University of Minnesota   (United States)

Author keywords

Blends; Constitutive equations; Viscosity

Indexed keywords

CONSTITUTIVE EQUATIONS; LITERATURE DATA; MISCIBLE POLYMER BLENDS; SELF CONCENTRATION;

CONCENTRATION (PROCESS); MATHEMATICAL MODELS; MOLECULAR WEIGHT; RELAXATION PROCESSES; SOLUBILITY; VISCOSITY;

POLYMER BLENDS;

EID: 33749638767     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.2039847     Document Type: Article

References (63)

1. Aoki, Y., " Viscoelastic properties of blends of poly(acrylonitrile-co-styrene) and poly[styrene-co-(N-phenylmaleimide)]., " Macromolecules 23, 2309-2312 (1990).
2. Aoki, Y., and T. Tanaka, " Viscoelastic properties of miscible poly(methyl methacrylate)/poly(styrene-co-acrylonitrile) blends in the molten state., " Macromolecules 32, 8560-8565 (1999).
3. Arrhenius, S., " Über die innere Reibung verdünnter wässeriger Lösungen., " Z. Phys. Chem., Stoechiom. Verwandtschaftsl. 1, 285-298 (1887).
4. Balsara, N. P., D. Perahia, C. R. Safinya, M. Tirrell, and T. P. Lodge, " Birefringence detection of the order-to-disorder transition in block copolymer liquids., " Macromolecules 25, 3896-3901 (1992).
5. Bank, M., J. Leffingwell, and C. Thies, " Thermally induced phase separation of polystyrene-poly(vinyl methyl ether) mixtures., " J. Polym. Sci., Polym. Phys. Ed. 10, 1097-1109 (1972).
6. Composto, R. J., E. J. Kramer, and D. M. White, " Matrix effects on diffusion in polymer blends., " Macromolecules 25, 4167-4174 (1992).
7. De Gennes, P. G., " Reptation of a polymer chain in the presence of fixed obstacles., " J. Chem. Phys. 55, 572-579 (1971).
8. De Gennes, P. G., " Dynamics of entangled polymer solutions. I. The Rouse model., " Macromolecules 9, 587-593 (1976).
9. des Cloizeaux, J., " Double reptation vs. simple reptation in polymer melts., " Europhys. Lett. 5, 437-442 (1988).
10. Doi, M., and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986).
11. Doi, M., W. W. Graessley, E. Helfand, and D. S. Pearson, " Dynamics of polymers in polydisperse melts., " Macromolecules 20, 1900-1906 (1987).
12. Friedman, E. M., and R. S. Porter, " Polymer viscosity-molecular weight distribution correlations via blending: For high molecular weight poly(dimethyl siloxanes) and for polystyrenes., " Trans. Soc. Rheol. 19, 493-508 (1975).
13. Gell, C. B., Ph.D. thesis, Princeton University, 1996.
14. Gilman, H., and F. K. Cartledge, " The analysis of organolithium compounds., " J. Organomet. Chem. 2, 447-454 (1964).
15. Graessley, W. W., " Entangled linear, branched and network polymer systems-Molecular theories., " Adv. Polym. Sci. 47, 67-117 (1982).
16. Graessley, W. W., and M. J. Struglinski, " Effects of polydispersity on the linear viscoelastic properties of entangled polymers. 2. Comparison of viscosity and recoverable compliance with tube model predictions., " Macromolecules 19, 1754-1760 (1986).
17. Green, P. F., P. J. Mills, C. J. Palmström, J. W. Mayer, and E. J. Kramer, " Limits of reptation in polymer melts., " Phys. Rev. Lett. 53, 2145-2148 (1984).
18. Haley, J. C., and T. P. Lodge, " A framework for predicting the viscosity of miscible polymer blends., " J. Rheol. 48, 463-486 (2004a).
19. Haley, J. C., and T. P. Lodge, " Failure of time-temperature superposition in dilute miscible polymer blends., " Colloid Polym. Sci. 282, 793-801 (2004b).
20. Haley, J. C., T. P. Lodge, Y. He, M. D. Ediger, E. D. Von Meerwall, and J. Mijovic, " Composition and temperature dependence of terminal and segmental dynamics in polyisoprene/poly(vinylethylene) blends., " Macromolecules 36, 6142-6151 (2003).
21. Han, C. D., and H. H. Yang, " Rheological behavior of compatible polymer blends. I. Blends of poly(styrene-co-acrylonitrile) and poly(e-caprolactone)., " J. Appl. Polym. Sci. 33, 1199-1220 (1987).
22. He, Y., T. R. Lutz, and M. D. Ediger, " Segmental and terminal dynamics in miscible polymer mixtures: Tests of the Lodge-McLeish model., " J. Chem. Phys. 119, 9956-9965 (2003a).
23. He, Y., T. R. Lutz, and M. D. Ediger, " Comparison of the composition and temperature dependences of segmental and terminal dynamics in polybutadiene/poly(vinyl ethylene) blends., " Macromolecules 37, 9889-9898 (2004).
24. He, Y., T. R. Lutz, M. D. Ediger, and T. P. Lodge, " Prediction of segmental and global dynamics in disordered styrene-isoprene tetrablock copolymers., " Macromolecules 36, 9170-9175 (2003b).
25. Hirose, Y., O. Urakawa, and K. Adachi, " Dielectric study on the heterogeneous dynamics of miscible polyisoprene/poly(vinyl ethylene) blends: Estimation of the relevant length scales for the segmental relaxation dynamics., " Macromolecules 36, 3699-3708 (2003).
26. Hoffmann, M., " Rheological behavior and molecular structure of polymers and their solutions. Interdependence of quantitative relations., " Makromol. Chem. 153, 99-124 (1972).
27. Kataoka, T., and S. Ueda, " Viscosity of poly(dimethylsiloxane) blends., " J. Polym. Sci., Polym. Chem. Ed. 5, 3071-3089 (1967).
28. Kendall, J., and K. P. Monroe, " Viscosity of liquids. II. Viscosity-composition curves for ideal liquid mixtures., " J. Am. Chem. Soc. 39, 1787-1802 (1917).
29. Klein, J., " The onset of entangled behavior in semidilute and concentrated polymer solutions., " Macromolecules 11, 852-858 (1978).
30. Leroy, E., A. Alegria, and J. Colmenero, " Quantitative study of chain connectivity inducing effective glass transition temperatures in miscible polymer blends., " Macromolecules 35, 5587-5590 (2002).
31. Liu, C., J. Wang, and J. He, " Rheological and thermal properties of m -LLDPE blends with m -HDPE and LDPE., " Polymer 43, 3811-3818 (2002).
32. Lodge, T. P., and T. C. B. McLeish, " Self-concentrations and effective glass transition temperatures in polymer blends., " Macromolecules 33, 5278-5284 (2000).
33. Lutz, T. R., Y. He, M. D. Ediger, M. Pitsikalis, and N. Hadjichristidis, " Dilute polymer blends: Are the segmental dynamics of isolated polyisoprene chains slaved to the dynamics of the host polymer?, " Macromolecules 37, 6440-6448 (2004).
34. Marrucci, G., " Relaxation by reptation and tube enlargement: A model for polydisperse polymers., " J. Polym. Sci., Polym. Phys. Ed. 23, 159-177 (1985).
35. Milner, S. T., and T. C. B. McLeish, " Reptation and contour-length fluctuations in melts of linear polymers., " Phys. Rev. Lett. 81, 725-728 (1998).
36. Milner, S. T., T. C. B. McLeish, R. N. Young, A. Hakiki, and J. M. Johnson, " Dynamic dilution, constraint-release, and star-linear blends., " Macromolecules 31, 9345-9353 (1998).
37. Miwa, Y., T. Tanabe, K. Yamamoto, Y. Sugino, M. Sakaguchi, M. Sakai, and S. Shimada, " Segmental dynamics and self-concentration around chain ends in miscible blends of poly(cyclohexyl methacrylate) and poly(cyclohexyl acrylate) as studied by the spin-label technique., " Macromolecules 37, 8612-8617 (2004).
38. Miwa, Y., K. Usami, K. Yamamoto, M. Sakaguchi, M. Sakai, and S. Shimada, " Direct detection of effective glass transitions in miscible polymer blends by temperature-modulated differential scanning calorimetry., " Macromolecules 38, 2355-2361 (2005).
39. Ndoni, S., C. M. Papadakis, F. S. Bates, and K. Almdal, " Laboratory-scale setup for anionic polymerization under inert atmosphere., " Rev. Sci. Instrum. 66, 1090-1095 (1995).
40. Park, S. J., and R. G. Larson, " Tube dilation and reptation in binary blends of monodisperse linear polymers., " Macromolecules 37, 597-604 (2004).
41. Pathak, J. A., S. K. Kumar, and R. H. Colby, " Miscible polymer blend dynamics: Double reptation predictions of linear viscoelasticity in model blends of polyisoprene and poly(vinyl ethylene)., " Macromolecules 37, 6994-7000 (2004).
42. Prest, W. M., Jr., " Viscoelastic properties of blends of entangled' polymers., " J. Polym. Sci., Polym. Phys. Ed. 8, 1897-1908 (1970).
43. Roovers, J., and P. M. Toporowski, " Rheological study of miscible blends of 1,4-polybutadiene and 1,2-polybutadiene (63% 1,2)., " Macromolecules 25, 1096-1102 (1992).
44. Rubinstein, M., and R. H. Colby, " Self-consistent theory of polydisperse entangled polymers: Linear viscoelasticity of binary blends., " J. Chem. Phys. 89, 5291-5306 (1988).
45. Sakaguchi, T., N. Taniguchi, O. Urakawa, and K. Adachi, " Calorimetric study of dynamical heterogeneity in blends of polyisoprene and poly(vinylethylene)., " Macromolecules 38, 422-428 (2005).
46. Struglinski, M. J., and W. W. Graessley, " Effects of polydispersity on the linear viscoelastic properties of entangled polymers. 1. Experimental observations for binary mixtures of linear polybutadiene., " Macromolecules 18, 2630-2643 (1985).
47. Thorpe, T. E., and J. W. Rodger, " The viscosity of mixtures of miscible liquids., " J. Chem. Soc. 71, 374 (1897).
48. Tsenoglou, C., " Viscoelasticity of binary homopolymer blends., " Polym. Prepr. (Am. Chem. Soc. Div. Polym. Chem.) 28, 185-186 (1987).
49. Tsenoglou, C., " Network architecture and modulus of miscible heteropolymer blends., " J. Polym. Sci., Part B: Polym. Phys. 26, 2329-2339 (1988).
50. Tsenoglou, C., " Viscoelasticity and self-diffusion in miscible heteropolymer blends., " New Trends Phys. Phys. Chem. Polym., [Proc. Int. Symp.], 375-383 (1989).
51. Tuminello, W. H., " Molecular weight and molecular weight distribution from dynamic measurements of polymer melts., " Polym. Eng. Sci. 26, 1339-1347 (1986).
52. Utracki, L. A., and M. R. Kamal, The rheology of polymer alloys and blends, Polymer Blends Handbook (Kluwer Academic Publishers, Dordrecht, Netherlands, 2002), Vol. 1, pp. 449-546.
53. Viovy, J. L., M. Rubinstein, and R. H. Colby, " Constraint release in polymer melts: tube reorganization versus tube dilation., " Macromolecules 24, 3587-3596 (1991).
54. Wang, S., S.-Q. Wang, A. Halasa, and W. L. Hsu, " Relaxation dynamics in mixtures of long and short chains: Tube dilation and impeded curvilinear diffusion., " Macromolecules 36, 5355-5371 (2003).
55. Watanabe, H., " Viscoelasticity and dynamics of entangled polymers., " Prog. Polym. Sci. 24, 1253-1403 (2000).
56. Watanabe, H., S. Ishida, Y. Matsumiya, and T. Inoue, " Viscoelastic and dielectric behavior of entangled blends of linear polyisoprenes having widely separated molecular weights: Test of tube dilation picture., " Macromolecules 37, 1937-1951 (2004a).
57. Watanabe, H., S. Ishida, Y. Matsumiya, and T. Inoue, " Test of full and partial tube dilation pictures in entangled blends of linear polyisoprenes., " Macromolecules 37, 6619-6631 (2004b).
58. Watanabe, H., and T. Kotaka, " Viscoelastic properties and relaxation mechanisms of binary blends of narrow molecular weight distribution polystyrenes., " Macromolecules 17, 2316-2325 (1984).
59. Wisniewsky, C., G. Marin, and P. Monge, " Viscoelastic behavior of compatible polymer blends. Polystryrene/tetramethylpolycarbonate., " Eur. Polym. J. 20, 691-695 (1984).
60. Wu, S., " Entanglement between dissimilar chains in compatible polymer blends: poly(methyl methacrylate) and poly(vinylidene fluoride)., " J. Polym. Sci., Part B: Polym. Phys. 25, 557-566 (1987a).
61. Wu, S., " Chain entanglement and melt viscosity of compatible polymer blends: Poly(methyl methacrylate) and poly(styrene-acrylonitrile)., " Polymer 28, 1144-1148 (1987b).
62. Wu, S., " Entanglement, friction, and free volume between dissimilar chains in compatible polymer blends., " J. Polym. Sci., Part B: Polym. Phys. 25, 2511-2529 (1987c).
63. Yang, H. H., C. D. Han, and J. K. Kim, " Rheology of miscible blends of poly(methyl methacrylate) with poly(styrene-co-acrylonitrile) and with poly(vinylidene fluoride)., " Polymer 35, 1503-1511 (1994).