Skip to main content
SpringerLink
Log in

Swelling of Polymer Networks

  • Chapter
Biological and Synthetic Polymer Networks

Abstract

The theory of polymer swelling has been formulated by Flory and Rehner based on three main assumptions: (1) the change in the free energy of a swollen system is the sum of the contributions due to mixing of polymer and solvent and elastic deformation of network strands; (2) the mixing term can be described by the mean-field Flory—Huggins theory; (3) the elastic deformation of the network is described by the affine-deformation model.

Using these three assumptions, one can obtain the relationship between network structure and equilibrium saturation swelling. The method is commonly used to determine network parameters such as crosslink density.

In this chapter, the basic assumptions will be critically reviewed in view of recent work in rubber-like elasticity (Flory, P. J. and Erman, B., Macromolecules, 1982, 15,800), scaling theories and experimental results on network expansion during swelling, non-saturation swelling and swelling of networks by homopolymers.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Collins, E. A., Bares, J. and Billmeyer, F. W., Experiments in Polymer Science, John Wiley & Sons, New York, 1973.

    Google Scholar 

  2. Rabek, J. F., Experimental Methods in Polymer Chemistry, John Wiley & Sons, New York, 1980.

    Google Scholar 

  3. Orwoll, R. A., Rubber Chem. Technol., 1976, 50, 451.

    Article  Google Scholar 

  4. Flory, P. J., Principles of Polymer Chemistry, Cornell University Press, Ithaca, New York, 1967.

    Google Scholar 

  5. de Gennes, P. G., Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca, New York, 1979.

    Google Scholar 

  6. Flory, P. J. and Tatara, Y., J. Polym. Sci., Polvm. Phys. Ed., 1975, 13, 683.

    Article  CAS  Google Scholar 

  7. Dusek, K. and Prins, W., Adv. Polym. Sci., 1969, 6, 1.

    Article  CAS  Google Scholar 

  8. Daoud, M., Bouchaud, E. and Jannink, G., Macromolecules, 1986, 19, 1955.

    Article  CAS  Google Scholar 

  9. Brochard, F., J. Physique, 1981, 42, 505.

    Article  CAS  Google Scholar 

  10. Gent, A. N. and Tobias, R. H., J. Polym. Sci., Polym. Phys. Ed., 1982, 20, 2317.

    Google Scholar 

  11. Garrido, L. and Mark, J. E., J. Polym. Sci., Polym. Phys. Ed., 1985, 23, 1933.

    Article  CAS  Google Scholar 

  12. de Gennes, P. G., Macromolecules, 1986, 19, 1245.

    Article  Google Scholar 

  13. Lloyd, W. G. and Alfrey, T. Jr, J. Polym. Sci., 1962, 62, 301.

    Article  Google Scholar 

  14. Mark, J. E. and Sullivan, J. L., J. Chem. Phys., 1977, 66, 1006.

    Article  CAS  Google Scholar 

  15. Queslel, J. P. and Mark, J. E., Eur. Polym. J., 1986, 22, 273.

    Article  CAS  Google Scholar 

  16. Gee, G., Herbert, J. B. M. and Roberts, R. C., Polymer, 1965, 6, 541.

    Article  CAS  Google Scholar 

  17. Yen, L. Y. and Eichinger, B. E., J. Polym. Sci., Polym. Phys. Ed., 1978, 16, 121.

    Article  CAS  Google Scholar 

  18. Bastide, J., Candau, S. and Leibler, L., Macromolecules, 1981, 14, 719.

    Article  CAS  Google Scholar 

  19. Zrinyi, M. and Horkay, F., J. Polym. Sci., Polym. Phys. Ed., 1982, 20, 815.

    Article  CAS  Google Scholar 

  20. Tanaka, T., Phys. Rev. Lett., 1978, 40, 820.

    Article  CAS  Google Scholar 

  21. Munch, J. P., Candau, S., Herz, J. and Hild, G., J. Physique, 1977, 38, 971.

    Article  CAS  Google Scholar 

  22. Stein, R. S., Soni, V. K., Yang, H. and Erman, B., The scattering of light by swollen networks. This volume, p. 383.

    Google Scholar 

  23. Beltzung, M., Picot, C. and Herz, J., Macromolecules, 1984, 17, 663, and references therein.

    Article  CAS  Google Scholar 

  24. Deloche, B. and Samulski, E. T., Macromolecules, 1981, 14, 575.

    Article  CAS  Google Scholar 

  25. Gronski, W., Stadler, R. and Jacobi, M. M., Macromolecules, 1984, 17, 741.

    Article  CAS  Google Scholar 

  26. Cohen-Addad, J. P., Domard, M., Lorentz, G. and Herz, J., J. Physique, 1984, 45, 575.

    Article  CAS  Google Scholar 

  27. Ilavsky, M., Polymer, 1981, 22, 1687.

    Article  CAS  Google Scholar 

  28. Flory, P. J. and Rehner, J. Jr, J. Chem. Phys., 1943, 11, 521.

    Article  CAS  Google Scholar 

  29. Brotzman, R. W. and Eichinger, B. E., Macromolecules, 1981, 14, 1445;

    Article  CAS  Google Scholar 

  30. Brotzman, R. W. and Eichinger, B. E., Macromolecules 1982, 15, 531.

    Article  CAS  Google Scholar 

  31. McKenna, G. B. and Hinkley, J. A., Polymer, 1986, 27, 1368.

    Article  CAS  Google Scholar 

  32. Flory, P. J., J. Chem. Phys., 1942, 10, 51;

    Article  CAS  Google Scholar 

  33. Huggins, M. H., J. Phys. Chem., 1942, 46, 151.

    Article  CAS  Google Scholar 

  34. Flory, P. J., Discuss. Faraday Soc., 1970, 49, 7.

    Article  Google Scholar 

  35. Lacombe, R. H. and Sanchez, I. C., J. Phys. Chem., 1976, 80, 2568.

    Google Scholar 

  36. Gottlieb, M. and Herskowitz, M., Macromolecules, 1981, 14, 1468.

    Article  CAS  Google Scholar 

  37. Wall, F. T. and Flory, P. J., J. Chem. Phys., 1951, 19, 1435.

    Article  CAS  Google Scholar 

  38. Flory, P. J., J. Chem. Phys., 1977, 66, 5720.

    Article  CAS  Google Scholar 

  39. James, H. M. and Guth, E., J. Chem. Phys., 1947, 15, 669.

    Article  CAS  Google Scholar 

  40. Eichinger, B. E., Annu. Rev. Phys. Chem., 1983, 34, 359.

    Article  CAS  Google Scholar 

  41. Mark, J. E., Adv. Polym. Sci., 1982, 44, 1.

    Article  CAS  Google Scholar 

  42. Gottlieb, M. and Gaylord, R. J., Macromolecules, 1987, 20, 130.

    Article  CAS  Google Scholar 

  43. Mooney, M. J., Appl. Phys., 1940, 11, 582;

    Article  Google Scholar 

  44. Rivlin, R. S., Philos. Trans. Royal Soc. London A., 1948, A241, 379.

    Article  Google Scholar 

  45. Flory, P. J. and Erman, B., Macromolecules, 1982, 15, 800.

    Article  CAS  Google Scholar 

  46. Ball, R. C., Doi, M., Edwards, S. F. and Warner, M., Polymer, 1981, 22, 1010.

    Article  CAS  Google Scholar 

  47. Edwards, S. F., Brit. Polym. J., 1977, 9, 140.

    Article  CAS  Google Scholar 

  48. Graessley, W. W., Adv. Polym. Sci., 1982, 46, 67.

    Article  Google Scholar 

  49. Marrucci, G., Macromolecules, 1981, 14, 434.

    Article  CAS  Google Scholar 

  50. Gaylord, R. J., Polym. Bull., 1982, 8, 325.

    CAS  Google Scholar 

  51. Treloar, L. R. G., The Physics of Rubber Elasticity, Clarendon Press, Oxford, 1975.

    Google Scholar 

  52. Gaylord, R. J. and Douglas, J., Bull. Am. Phys. Soc., 1987, 32, 496.

    Google Scholar 

  53. Erman, B. and Flory, P. J., Macromolecules, 1982, 15, 806.

    Article  CAS  Google Scholar 

  54. Brotzman, R. W. and Mark, J. E., Macromolecules, 1986, 19, 667.

    Article  CAS  Google Scholar 

  55. Fischer, A. and Gottlieb, M., Proc. Networks 86, Elsinore, Denmark, 1986.

    Google Scholar 

  56. Gottlieb, M. and Gaylord, R. J., Macromolecules, 1984, 17, 2024.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Chemical Engineering Department, Ben Gurion University, Beer-Sheva, 84105, Israel

    Moshe Gottlieb

Authors
  1. Moshe Gottlieb
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Chemistry, University of Copenhagen, Denmark

    O. Kramer

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Elsevier Applied Science Publishers Ltd

About this chapter

Cite this chapter

Gottlieb, M. (1988). Swelling of Polymer Networks. In: Kramer, O. (eds) Biological and Synthetic Polymer Networks. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1343-1_27

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-1343-1_27

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7097-3

  • Online ISBN: 978-94-009-1343-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation