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
B. Gross, “Mathematical Structure of the Theories of Viscoelasticity (Hermann, Paris, 1968).
J. D. Ferry, “Viscoelastic Properties of Polymers”, 2nd edn (Wiley and Sons, New York, 1970).
S. Havriliak andS. Negami,J. Polym. Sci. C14 (1966) 99.
K. S. Cole andR. H. Cole,J. Chem. Phys. 9 (1941) 341.
D. W. Davidson andR. H. Cole,ibid. 19 (1951) 1484.
R. M. Fuoss andJ. G. Kirkwood,J. Amer. Chem. Soc. 63 (1941) 385.
R. M. Hill,Phys. Status Solidi (b)103 (1981) 319.
L. A. Dissado andR. M. Hill,Nature 279 (1979) 685.
Idem, Phil. Mag. B41 (1981) 625.
Idem, J. Mater. Sci. 16 (1981) 638.
V. V. Daniel, “Dielectric Relaxation” (Academic Press, London, 1967).
A. K. Jonscher,Phil. Mag. B38 (1978) 587.
J. M. C. Duhamel,J. Ec. Polytech. 22 (1833) 1.
B. E. Read andG. Dean, “The Determination of the Dynamic Properties of Polymers and Composites” (Hilger, Bristol, 1978).
L. A. Dissado,Physica Scripta T1 (1982) 110.
L. A. Dissado andR. M. Hill,Proc. Roy. Soc. A390 (1983) 131.
R. M. Hill,J. Mater. Sci. 17 (1982) 3630.
L. C. Slater, “Confluent Hypergeometric Functions” (Oxford University Press, Oxford, 1960).
Idem, “Generalised Hypergeometric Functions” (Oxford University Press, Oxford, 1966).
L. A. Dissado andR. M. Hill,J. Chem. Soc. Faraday Trans. to be published.
A. K. Jonscher,Colloid Polym. Sci. 253 (1975) 231.
J. Wong andC. A. Angell, “Glass Structure by Spectroscopy” (Dekker, New York, 1976) Chap. 11.
D. J. Plazek andJ. H. Magill,J. Chem. Phys. 45 (1966) 3038.
F. S. Conant, G. L. Hall andW. J. Lyons,J. Appl. Phys. 21 (1950) 499.
D. J. Plazek,J. Chem. Phys. 69 (1965) 3480.
R. B. Blizzard,J. Appl. Phys. 22 (1951) 730.
M. L. Williams andJ. D. Ferry,J. Colloid. Sci. 9 (1954) 479.
W. C. Child andJ. D. Ferry,ibid. 12 (1957) 317.
J. Heijboer, TNO Communications No. 435, Delft (1972).
W. E. Rochefort, G. C. Smith, H. Rachapady, V. R. Raju andW. W. Graessley,J. Polym. Sci: Polym. Phys. Ed. 17 (1979) 1197.
V. R. Raju, H. Rachapady andW. W. Graessley,J. Polym. Sci: Polym. Phys. Ed. 17 (1979) 1223.
J. J. Mills,J. Non-Cryst. Solids 14 (1974) 255.
T. S. Kě,Phys. Rev. 71 (1947) 533.
J. Kubat, “International Conference on Rheology, 1963” (Interscience, New York, 1965) p. 281.
T. Kyu, N. Yasuda, S. Suehiro, T. Hashimoto andH. Kawai,Polymer 21 (1980) 1205.
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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