Skip to main content
Log in

Characterization of mechanical relaxation processes

  • Papers
  • Published:
Journal of Materials Science Aims and scope Submit manuscript

Abstract

The experimental observation of power-law behaviour in the spectral response of dielectric relaxation has been extended to other relaxation processes, particularly mechanical loss. Examples of the power-law behaviour are given and summarized diagrammatically. It is shown that there is an essential difference between the magnitudes of the power-law exponents for mechanical and dielectric relaxation. A relationship between the two is proposed and shown to be experimentally valid.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. K. Jonscher,Colloidal Polymer Sci. 253 (1975) 231;Nature 267 (1977) 673.

    Google Scholar 

  2. R. M. Hill,Nature 267 (1978) 96.

    Google Scholar 

  3. Idem, J. Mater. Sci. 16 (1981) 118.

    Google Scholar 

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

    Google Scholar 

  5. Idem, Phil Mag. B. 41 (1980) 625.

    Google Scholar 

  6. L. J. Slater, “Generalised Hypergeometric Functions” (Cambridge University Press, Cambridge, 1966).

    Google Scholar 

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

    Google Scholar 

  8. R. M. Hill,Phys. Stat. Sol. (b) 103 (1981) 319.

    Google Scholar 

  9. D. W. McCall, “Physics of Dielectric Solids, 1980”, edited by C. Goodman, Institute of Physics Conference Series No 58 (Institute of Physics, Britstol and London, 1980) p. 46.

    Google Scholar 

  10. A. M. North andP. J. Phillips,Brit. Polymer. J. 1 (1969) 76.

    Google Scholar 

  11. S. Havriliak andS. Negami,J. Phys. D. 2 (1969) 1301.

    Google Scholar 

  12. R. M. Hill andL. A. Dissado,J. Phys. C. in press.

  13. P. Debye, “Polar Molecules” (Dover Press, New York, 1945).

    Google Scholar 

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

  15. M. L. Williams andJ. D. Ferry,J. Colloid. Sci. 10 (1955) 474.

    Google Scholar 

  16. W. Dannhauser, W. C. Child andJ. D. Ferry,J. Colloid Sci. A-2 6 (1958) 967.

    Google Scholar 

  17. W. C. Child andJ. D. Ferry,J. Colloid. Sci. 12 (1957) 389.

    Google Scholar 

  18. Idem, ibid. 12 (1957) 327.

    Google Scholar 

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

    Google Scholar 

  20. J. F. Saunders, J. D. Ferry andR. H. Valentine,J. Polymer Sci. A-2 6 (1968) 967.

    Google Scholar 

  21. T. Kyu, N. Yasudu, S. Suchino, T. Hashimoto andH. Kawai,Polymer 21 (1980) 1205.

    Google Scholar 

  22. B. S. Berry,J. Phys. Chem. Solids 31 (1970) 1827.

    Google Scholar 

  23. C. Wert andC. Zener,Phys. Rev. 76 (1949) 1169.

    Google Scholar 

  24. B. S. Berry,J. Appl. Phys. 26 (1955) 1221.

    Google Scholar 

  25. R. H. Randell, F. C. Rose andC. Zener,Phys. Rev. 56 (1939) 343.

    Google Scholar 

  26. H. B. Johnson, N. J. Tolar, G. R. Miller andI. B. Cutler,J. Phys. Chem. Solids 30 (1969) 31.

    Google Scholar 

  27. R. F. Landel andJ. D. Ferry,J. Phys. Chem. 60 (1956) 294.

    Google Scholar 

  28. T. Lyon andT. A. Litovitz,J. Appl. Phys. 27 (1956) 179.

    Google Scholar 

  29. D. Eden andC. W. Garland,J. Chem. Phys. 58 (1973) 1861.

    Google Scholar 

  30. J. D. Wilson andS. S. Yun,J. Acoust. Soc. Amer. 50 (1971) 164.

    Google Scholar 

  31. A. E. Victor andR. T. Beyer,ibid. 54 (1971) 1639.

    Google Scholar 

  32. S. Strella andS. N. Chinai,J. Polymer. Sci. 31 (1958) 45.

    Google Scholar 

  33. S. Strella andR. Zand,ibid 25 (1957) 105.

    Google Scholar 

  34. M. F. Shears, G. Williams, A. J. Barlow andJ. Lamb,J. Chem. Soc. Far. Trans. II 70 (1974) 1783.

    Google Scholar 

  35. A. J. Barlow andA. Erginsav,Proc. Roy. Soc. A. 327 (1972) 175.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hill, R.M. Characterization of mechanical relaxation processes. J Mater Sci 17, 3630–3636 (1982). https://doi.org/10.1007/BF00752207

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00752207

Keywords

Navigation