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On the propagation of linear transverse acoustic waves in isotropic media with mechanical relaxation phenomena due to viscosity and a tensorial internal variable

Author

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  • Turrisi, E.
  • Ciancio, V.
  • Kluitenberg, G.A.

Abstract

The propagation of linear transverse acoustic waves in isotropic media in which mechanical relaxation phenomena occur was considered in a previous paper. In particular expressions for the velocity and attenuation of the waves were obtained and the limiting cases of waves with high and low frequencies were discussed. In the present paper we investigate the propagation of linear transverse acoustic waves in Poynting-Thomson, Jeffreys, Maxwell, Kelvin-Voigt, Hooke and Newton media. We show that the dispersion relations for these waves may be considered as degeneracies of the dispersion relation which we derived in the general case of a viscoanelastic medium with memory. In particular we investigate the explicit dependence of the dispersion relations on the thermodynamic parameters and the phenomenological coefficients.

Suggested Citation

  • Turrisi, E. & Ciancio, V. & Kluitenberg, G.A., 1982. "On the propagation of linear transverse acoustic waves in isotropic media with mechanical relaxation phenomena due to viscosity and a tensorial internal variable," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 594-603.
    • Handle: RePEc:eee:phsmap:v:116:y:1982:i:3:p:594-603
    DOI: 10.1016/0378-4371(82)90179-0
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    References listed on IDEAS

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    1. Cianco, V. & Kluitenberg, G.A., 1979. "On linear dynamical equations of state for isotropic media II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(3), pages 592-600.
    2. Kluitenberg, G.A. & Ciancio, V., 1978. "On linear dynamical equations of state for isotropic media I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(1), pages 273-286.
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