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Analysis of dispersion relations of a coupled thermoelasticity problem with regard to heat flux relaxation

Abstract

Dispersion relations for a coupled thermoelasticity problem including a hyperbolic heat conduction equation are derived, and their asymptotic analysis is performed. Dependences of the wave number and characteristics of the vibration damping rate on frequency are obtained and compared with similar diagrams in the classical model.

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Correspondence to M. B. Babenkov.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 52, No. 6, pp. 112–121, November–December, 2011.

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Babenkov, M.B. Analysis of dispersion relations of a coupled thermoelasticity problem with regard to heat flux relaxation. J Appl Mech Tech Phy 52, 941–949 (2011). https://doi.org/10.1134/S0021894411060125

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  • DOI: https://doi.org/10.1134/S0021894411060125

Keywords

  • hyperbolic thermoelasticity
  • dispersion relations
  • characteristics of the vibration damping rate
  • wave number
  • asymptotes