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The localisation model of rubber elasticity. II

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Summary

The effect of the spatial localization of a network chain by surrounding chains is incorporated into the chain probability distribution function and the network free energy is then calculated using the statistical mechanical formalism for constrained systems. In addition to a term having the classical ‘Gaussian’ form, the resulting expression contains another term which depends on both the cross-link density of the network and the plateau modulus of the uncross-linked melt.

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References

  1. Deam, R. T. and Edwards, S. F., Phil. Trans. R. Soc. A, 280, 317 (1978).

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  2. Gaylord, R. J., and Douglas, J. F., Polymer Bulletin, 18, 347 (1987).

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  3. Edwards, S. F., Proc. Phys. Soc., 92, 9 (1967).

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  4. Douglas, J. F., Macromolecules, 22, 3707 (1989). See Appendix B.

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Authors and Affiliations

  1. Department of Materials Science and Engineering, University of Illinois, Green Street, 1304 W., Urbana, IL, 61801, USA

    Richard J. Gaylord

  2. Polymer Division, National Institute of Standards and Technology, 20899, Gaithersburg, MD, USA

    Jack F. Douglas

Authors
  1. Richard J. Gaylord
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  2. Jack F. Douglas
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Gaylord, R.J., Douglas, J.F. The localisation model of rubber elasticity. II. Polymer Bulletin 23, 529–533 (1990). https://doi.org/10.1007/BF00419973

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  • DOI: https://doi.org/10.1007/BF00419973

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