Skip to main content
SpringerLink
Log in

Investigation of the Structure of Polymer Networks from the Data on Dynamic Moduli at Different Static Deformations

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

Based on the previously developed molecular theory, we analyze experiments in which a small periodic deformation is applied to a statically extended elastomer and then the dynamic modulus is measured as a function of the static extension ratio λ. The dependence of the loss modulus on λ, which contains three parameters, is investigated, and what information on the network structure is contained in these parameters is elucidated. The accuracy of the information obtained is discussed with the use of the literature experimental data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. J. E. Mark and B. Erman, Rubberlike Elasticity. A Molecular Primer, Wiley, New York–Chichester–Briston–Toronto–Singapore (1988).

    Google Scholar 

  2. D. J. P. Harrison, W. R. Yates, and J. F. Johnson, J. Macromol. Sci. C, 25, No. 4, 481–549 (1985).

    Google Scholar 

  3. P. M. Mott and C. M. Roland, Macromolecules, 29, No. 26, 8492–8496 (1996).

    Google Scholar 

  4. S. Westermann, W. Pichout-Hintzen, D. Richter, E. Straube, and R. May, Macromolecules, 34, No. 7, 2186–2194 (2001).

    Google Scholar 

  5. T. Kawamura, K. Uruyama, and S. Kohjiva, J. Chem. Phys., 112, No. 20, 9105–9111 (2000).

    Google Scholar 

  6. J. P. Cohen Addad, in: J. P. Cohen Addad (ed.), Physical Properties of Polymeric Gels, Chichester (1996), pp. 39–88.

  7. E. Fisher, F. Grinberg, R. Kimmich, and S. Hafner, J. Chem. Phys., 109, No. 2, 846–854 (1998).

    Google Scholar 

  8. L. P. Smirnov, Vysokomolek. Soed. A-B, 42, No. 10, 1775–1792 (2000).

    Google Scholar 

  9. I. P. Borodin and T. N. Khazanovich, Vysokomolek. Soed. A, 15, No. 9, 2121–2127 (1973).

    Google Scholar 

  10. I. P. Borodin, Vysokomolek. Soed. A, 22, No. 6, 1302–1310 (1980).

    Google Scholar 

  11. I. P. Borodin and T. N. Khazanovich, Polymer, 27, No. 7, 1044–1049 (1986).

    Google Scholar 

  12. I. P. Borodin and T. N. Khazanovich, in: Structure and Dynamics of Molecular Systems [in Russian], Ioshkar-Ola (2001), pp 7–10.

  13. J. D. Ferry, Viscoelastic Properties of Polymers, 3rd edn., Wiley, New York (1980).

    Google Scholar 

  14. Yu. Ya. Gotlib and K. M. Salikhov, Akust. Zh., 9, No. 2, 301–312 (1963).

    Google Scholar 

  15. A. Kloczkowski, J. E. Mark, and H. L. Frish, Macromolecules, 23, No. 14, 3481–3490 (1990).

    Google Scholar 

  16. M. Mondello, G. S. Grest, E. B. Webb, III, and P. Peczak, J. Chem. Phys., 109, No. 2, 798–805 (1998).

    Google Scholar 

  17. M. Mooney, J. Polym. Sci., 34, No. 127, 599–626 (1959).

    Google Scholar 

  18. T. N. Khazanovich, Mekh. Polimer., No. 6, 980–986 (1969).

  19. R. A. Harris and J. E. Hearst, J. Chem. Phys., 44, No. 7, 2595–2602 (1966).

    Google Scholar 

  20. P. Mason, J. Appl. Polym. Sci., 5, No. 16, 428–435 (1961).

    Google Scholar 

  21. E. A. Meinecke, Rheol. Acta, 10, No. 2, 302–309 (1971).

    Google Scholar 

  22. N. Sasaki, T. Uchiumi, Y. Sugo, and N. Nishida, Polym. Bull., 12, No. 3, 215–222 (1984).

    Google Scholar 

  23. R. Diaz Calleja, E. Riande, and J. Guzma'n, Polymer, 29, No. 12, 2203–2207 (1988).

    Google Scholar 

  24. R. B. Bird, C. F. Curtiss, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Vol. 2, Kinetic Theory, 2nd edn., Wiley, New York (1987).

    Google Scholar 

  25. H. C. Öttinger, Stochastic Processes in Polymeric Fluids, Berlin–Heidelberg–New York (1966).

  26. P. J. Flory, Statistical Mechanics of Chain Molecules, New York (1969).

  27. Yu. Ya. Gotlib and A. A. Darinskii, Vysokomolek. Soed. A, 16, No. 10, 2296–2302 (1974).

    Google Scholar 

  28. Yu. Ya. Gotlib and A. A. Darinskii, Vysokomolek. Soed. A, 18, No. 1, 77–84 (1976).

    Google Scholar 

  29. W. H. Stockmayer, W. Gobush, Y. Chikahisa, and D. K. Carpenter, Disc. Faraday Soc., No. 49, 182–192 (1970).

  30. A. A. Darinskii, Yu. Ya. Gotlib, A. V. Lyulin, and I. M. Neelov, Vysokomolek. Soed. A, 36, No. 7, 1148–1153 (1994).

    Google Scholar 

  31. I. M. Neelov, A. V. Lyulin, F. I. Torchinskii, A. A. Darinskii, and R. Kuk, Vysokomolek. Soed. A, 38, No. 8, 1394–1402 (1996).

    Google Scholar 

  32. A. Amash and P. Zugenmaier, J. Polym. Sci. B, Polym. Phys., 35, No. 9, 1439–1448 (1997).

    Google Scholar 

  33. D. J. K. Taylor, R. F. T. Stepto, R. A. Jones, and I. Ward, Macromolecules, 32, No. 6, 1978–1989 (1999).

    Google Scholar 

  34. P. J. Flory, Proc. Roy. Soc. London A, 351, No. 1666, 351–380 (1976).

    Google Scholar 

  35. D. S. Pearson, Macromolecules, 10, No. 3, 696–701 (1977).

    Google Scholar 

  36. Yu. Ya. Gotlib, M. I. Lifshits, V. A. Shevelev, I. S. Lishanskii, and I. V. Balanina, Vysokomolek. Soed. A, 18, No. 10, 2299–2303 (1976).

    Google Scholar 

  37. A. A. Lundin and T. N. Khazanovich, Vysokomolek. Soed. A, 31, No. 2, 363–368 (1989).

    Google Scholar 

  38. M. E. Ries, M. G. Brereton, P. G. Klein, I. M. Ward, P. Ekanayake, H. Menge, and H. Schneider, Macromolecules, 32, No. 6, 4461–4468 (1999).

    Google Scholar 

  39. I. P. Borodin and T. N. Khazanovich, Vysokomolek. Soed. A, 17, No. 6, 1353–1359 (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kostroma State Technological University, Kostroma, Russia

    I. P. Borodin

  2. Russian Academy of Sciences, N. N. Semenov Institute of Chemical Physics, Moscow, Russia

    T. N. Khazanovich & V. L. Bodneva

Authors
  1. I. P. Borodin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. N. Khazanovich
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. L. Bodneva
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borodin, I.P., Khazanovich, T.N. & Bodneva, V.L. Investigation of the Structure of Polymer Networks from the Data on Dynamic Moduli at Different Static Deformations. Journal of Engineering Physics and Thermophysics 76, 604–609 (2003). https://doi.org/10.1023/A:1024777132192

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1024777132192

Keywords

Search

Navigation