Entanglement Effects in Polymer Solutions

  • William W. Graessley

Abstract

Viscoelastic behavior in polymer solutions is a reflection of dynamical processes at the molecular level. These processes are driven by Brownian motion, and they govern diffusion and the rate of rearrangement of chain orientation and conformation. Mechanical response and molecular relaxation go hand in hand. Properties which depend on large-scale chain motions are strong functions of the molecular architecture (chain length, long chain branching, etc.) at all levels of polymer concentration.

Keywords

Shear Rate Linear Chain Polymer Species Longe Relaxation Time Plateau Modulus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J. D. Ferry, Viscoelastic Properties of Polymers, 3rd ed., John Wiley and Sons, New York (1980).Google Scholar
  2. 2.
    P. G. de Gennes, Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca, New York (1979).Google Scholar
  3. 3.
    G. C. Berry and T. G. Fox, Adv. Polym. Sci. 5, 261 (1968).CrossRefGoogle Scholar
  4. 4.
    W. W. Graessley, Adv. Polym. Sci. 16, 1 (1974).CrossRefGoogle Scholar
  5. 5.
    W. W. Graessley, Adv. Polym. Sci. 47, 67 (1982).CrossRefGoogle Scholar
  6. 6.
    P. J. Flory, Statistical Mechanics of Chain Molecules, Interscience, New York (1969).Google Scholar
  7. 7.
    G. C. Berry, H. Nakayasu, and T. G. Fox, /. Polym. Sci. Polym. Phys. 17, 1825 (1979)CrossRefGoogle Scholar
  8. W. W. Graessley, Polymer 21, 258 (1980)CrossRefGoogle Scholar
  9. B. L. Hager and G. C. Berry, J. Polym. Sci. Polym. Phys. 20, 911 (1982).CrossRefGoogle Scholar
  10. 8.
    W. H. Stockmayer, in Molecular Fluids, Les Houches 1973(B. Balian and G. Weill, eds.), pp. 107-144, Gordon and Breach, London (1976).Google Scholar
  11. 9.
    H. Markovitz, J. Polym. Sci. Polym. Symp. 50, 431 (1975)CrossRefGoogle Scholar
  12. D. J. Plazek, E. Riande, H. Markovitz, and N. Raghupathi, J. Polym. Sci. Polym. Phys. 17, 2189 (1979).CrossRefGoogle Scholar
  13. 10.
    V. R. Raju, E. V. Menezes, G. Marin, W. W. Graessley, and L. J. Fetters, Macro-molecules 14, 1668 (1981).CrossRefGoogle Scholar
  14. 11.
    W. W. Graessley and S. F. Edwards, Polymer 22, 1329 (1981).CrossRefGoogle Scholar
  15. 12.
    W. W. Graessley and J. Roovers, Macromolecules 12, 959 (1979).CrossRefGoogle Scholar
  16. 13.
    S. Granick and J. D. Ferry, Macromolecules 16, 39 (1983), and references therein.CrossRefGoogle Scholar
  17. 14.
    P. J. Flory, Principles of Polymer Chemistry, p. 412, Cornell University Press, Ithaca, New York (1953).Google Scholar
  18. 15.
    M. Doi and S. F. Edwards, J. Chem. Soc. Faraday Soc. Trans. 2 74, 1789 (1978).CrossRefGoogle Scholar
  19. 16.
    M. Doi and S. F. Edwards, J. Chem. Soc. Faraday Soc. Trans. 2 74, 1802 (1978).CrossRefGoogle Scholar
  20. 17.
    M. Doi and S. F. Edwards, J. Chem. Soc. Faraday Soc. Trans. 2 74, 1818 (1978).CrossRefGoogle Scholar
  21. 18.
    M. Doi and S. F. Edwards, J. Chem. Soc. Faraday Soc. Trans. 2 75, 38 (1979).CrossRefGoogle Scholar
  22. 19.
    P. G. de Gennes, J. Chem. Phys. 55, 572 (1971).CrossRefGoogle Scholar
  23. 20.
    W. W. Graessley, J. Polym. Sci. Polym. Phys. 18, 27 (1980).CrossRefGoogle Scholar
  24. 21.
    J. Klein and B. J. Briscoe, Proc. R. Soc. (London) 365, 53 (1979).CrossRefGoogle Scholar
  25. 22.
    J. Klein, Macromolecules 11, 852 (1978)CrossRefGoogle Scholar
  26. M. Daoud and P. G. deGennes, J. Polym. Sci. Polym. Phys. 17, 771 (1981).Google Scholar
  27. 23.
    P. G. de Gennes, J. Phys. 36, 1199 (1975).CrossRefGoogle Scholar
  28. 24.
    M. Doi and N. Y. Kuzuu, J. Polym. Sci. Lett. 18, 775 (1980)CrossRefGoogle Scholar
  29. M. Doi, J. Polym. Sci. Lett. 19, 265 (1981).CrossRefGoogle Scholar
  30. 25.
    H. C. Kan, J. D. Ferry, and L. J. Fetters, Macromolecules 13, 1571 (1980).CrossRefGoogle Scholar
  31. 26a.
    J. Klein, Philos. Mag. A43, 771 (1981).Google Scholar
  32. 26b.
    L. Legér, H. Hervet, and F. Rondelez, Macromolecules 14, 1732 (1981).CrossRefGoogle Scholar
  33. 27.
    W. W. Graessley, Ace. Chem. Res. 10, 332 (1977).CrossRefGoogle Scholar
  34. 28.
    R. Roovers, N. Hadjichristidis, and L. J. Fetters, Macromolecules 16, 214 (1983)CrossRefGoogle Scholar
  35. M. Daoud and J. P. Cotton, J. Phys. 43, 531 (1982).CrossRefGoogle Scholar
  36. 29.
    J. Carella, Ph. D. thesis, Northwestern University, Evanston (1983).Google Scholar
  37. 30.
    J. Roovers and W. W. Graessley, Macromolecules 14, 766 (1981).CrossRefGoogle Scholar
  38. 31.
    J. S. Ham, J. Chem. Phys. 26, 625 (1957).CrossRefGoogle Scholar
  39. 32.
    W. W. Graessley and V. R. Raju, J. Polym. Sci. Polym. Symp. 71, 77 (1984).CrossRefGoogle Scholar
  40. 33.
    W. E. Rochefort, G. G. Smith, H. Rachapudy, V. R. Raju, and W. W. Graessley, J. Polym. Sci. Polym. Phys. 17, 1197 (1979).CrossRefGoogle Scholar
  41. 34.
    W. W. Graessley, Macromolecules 15, 1164 (1982).CrossRefGoogle Scholar
  42. 35.
    A. S. Lodge, Body Tensor Fields in Continuum Mechanics, pp. 142–143, Academic Press, New York (1974)Google Scholar
  43. see also M. H. Wagner, Rheologica Acta 18, 33 (1979).CrossRefGoogle Scholar
  44. 36.
    B. Bernstein, E. A. Kearsley, and L. J. Zapas, Trans. Soc. Rheology 7, 391 (1963)CrossRefGoogle Scholar
  45. see also B. Bernstein and R. L. Fosdick, Rheologica Acta 9, 186 (1970)CrossRefGoogle Scholar
  46. L. J. Zapas and J. C. Phillips, J. Res. Natl. Bur. Stand. A75, 33 (1971).Google Scholar
  47. 37.
    R. B. Bird, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Vol. 1, John Wiley and Sons, New York (1977).Google Scholar
  48. 38.
    J. Meissner, Rheologica Acta 10, 230 (1971)CrossRefGoogle Scholar
  49. J. Meissner, J. Appl. Polym. Sci. 16, 2877 (1972)CrossRefGoogle Scholar
  50. R. C. Crawley and W. W. Graessley, Trans. Soc. Rheol. 21, 19 (1977).CrossRefGoogle Scholar
  51. 39.
    W. W. Graessley, T. Masuda, J. E. L. Roovers, and N. Hadjichristidis, Macromolecules 9, 127 (1976).CrossRefGoogle Scholar
  52. 40.
    W. W. Graessley, J. Chem. Phys. 47, 1942 (1967).CrossRefGoogle Scholar
  53. 41.
    K. Osaki and M. Kurata, Macromolecules 13, 671 (1980)CrossRefGoogle Scholar
  54. C. M. Vrentas and W. W. Graessley, J. Rheol. 26, 359 (1982).CrossRefGoogle Scholar
  55. 42.
    E. V. Menezes and W. W. Graessley, J. Polym. Sci. Polym. Phys. 20, 1817 (1982).CrossRefGoogle Scholar
  56. 43.
    Y. Einaga, K. Osaki, M. Kurata, S. Kimura, and M. Tamura, Polym. J. (Japan) 2, 550 (1971).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • William W. Graessley
    • 1
  1. 1.Corporate Research-Science LaboratoriesExxon Research and Engineering Co.AnnandaleUSA

Personalised recommendations