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Relaxation in elastic and viscoelastic materials

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Abstract

The mechanical compliance and modulus retardation/relaxation functions are examined in terms of a general behaviour which contains more than one process. An analytical approach to the transformation in the anelastic response between the compliance and the modulus is derived and applied to a cooperative model of relaxation behaviour. In particular it is shown that mechanical viscoelasticity is equivalent to the anomalous low frequency dispersion process that has been observed in dielectrics containing quasifree charges. Comparison with published experimental data over a wide range of solid materials shows the validity of the cooperative model to mechanical relaxation.

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References

  1. B. Gross, “Mathematical Structure of the Theories of Viscoelasticity (Hermann, Paris, 1968).

    Google Scholar 

  2. J. D. Ferry, “Viscoelastic Properties of Polymers”, 2nd edn (Wiley and Sons, New York, 1970).

    Google Scholar 

  3. S. Havriliak andS. Negami,J. Polym. Sci. C14 (1966) 99.

    Google Scholar 

  4. K. S. Cole andR. H. Cole,J. Chem. Phys. 9 (1941) 341.

    Google Scholar 

  5. D. W. Davidson andR. H. Cole,ibid. 19 (1951) 1484.

    Google Scholar 

  6. R. M. Fuoss andJ. G. Kirkwood,J. Amer. Chem. Soc. 63 (1941) 385.

    Google Scholar 

  7. R. M. Hill,Phys. Status Solidi (b)103 (1981) 319.

    Google Scholar 

  8. L. A. Dissado andR. M. Hill,Nature 279 (1979) 685.

    Google Scholar 

  9. Idem, Phil. Mag. B41 (1981) 625.

    Google Scholar 

  10. Idem, J. Mater. Sci. 16 (1981) 638.

    Google Scholar 

  11. V. V. Daniel, “Dielectric Relaxation” (Academic Press, London, 1967).

    Google Scholar 

  12. A. K. Jonscher,Phil. Mag. B38 (1978) 587.

    Google Scholar 

  13. J. M. C. Duhamel,J. Ec. Polytech. 22 (1833) 1.

    Google Scholar 

  14. B. E. Read andG. Dean, “The Determination of the Dynamic Properties of Polymers and Composites” (Hilger, Bristol, 1978).

    Google Scholar 

  15. L. A. Dissado,Physica Scripta T1 (1982) 110.

    Google Scholar 

  16. L. A. Dissado andR. M. Hill,Proc. Roy. Soc. A390 (1983) 131.

    Google Scholar 

  17. R. M. Hill,J. Mater. Sci. 17 (1982) 3630.

    Google Scholar 

  18. L. C. Slater, “Confluent Hypergeometric Functions” (Oxford University Press, Oxford, 1960).

    Google Scholar 

  19. Idem, “Generalised Hypergeometric Functions” (Oxford University Press, Oxford, 1966).

    Google Scholar 

  20. L. A. Dissado andR. M. Hill,J. Chem. Soc. Faraday Trans. to be published.

  21. A. K. Jonscher,Colloid Polym. Sci. 253 (1975) 231.

    Google Scholar 

  22. J. Wong andC. A. Angell, “Glass Structure by Spectroscopy” (Dekker, New York, 1976) Chap. 11.

    Google Scholar 

  23. D. J. Plazek andJ. H. Magill,J. Chem. Phys. 45 (1966) 3038.

    Google Scholar 

  24. F. S. Conant, G. L. Hall andW. J. Lyons,J. Appl. Phys. 21 (1950) 499.

    Google Scholar 

  25. D. J. Plazek,J. Chem. Phys. 69 (1965) 3480.

    Google Scholar 

  26. R. B. Blizzard,J. Appl. Phys. 22 (1951) 730.

    Google Scholar 

  27. M. L. Williams andJ. D. Ferry,J. Colloid. Sci. 9 (1954) 479.

    Google Scholar 

  28. W. C. Child andJ. D. Ferry,ibid. 12 (1957) 317.

    Google Scholar 

  29. J. Heijboer, TNO Communications No. 435, Delft (1972).

  30. W. E. Rochefort, G. C. Smith, H. Rachapady, V. R. Raju andW. W. Graessley,J. Polym. Sci: Polym. Phys. Ed. 17 (1979) 1197.

    Google Scholar 

  31. V. R. Raju, H. Rachapady andW. W. Graessley,J. Polym. Sci: Polym. Phys. Ed. 17 (1979) 1223.

    Google Scholar 

  32. J. J. Mills,J. Non-Cryst. Solids 14 (1974) 255.

    Google Scholar 

  33. T. S. Kě,Phys. Rev. 71 (1947) 533.

    Google Scholar 

  34. J. Kubat, “International Conference on Rheology, 1963” (Interscience, New York, 1965) p. 281.

    Google Scholar 

  35. T. Kyu, N. Yasuda, S. Suehiro, T. Hashimoto andH. Kawai,Polymer 21 (1980) 1205.

    Google Scholar 

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Hill, R.M., Dissado, L.A. Relaxation in elastic and viscoelastic materials. J Mater Sci 19, 1576–1595 (1984). https://doi.org/10.1007/BF00563056

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  • DOI: https://doi.org/10.1007/BF00563056

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