Skip to main content
Log in

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

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

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.

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. G. Shashkov, V. A. Bubnov, and S. Y. Yanovskii, Wave Phenomena of Heat Conduction. Systemic-Structural Approach [in Russian], Nauka Tekhnika, Minsk (1993).

    Google Scholar 

  2. A. I. Nekrasov, Vortex Diffusion [in Russian], Vol. 1, Izd. Akad. Nauk SSSR, Moscow (1961).

    Google Scholar 

  3. T. Q. Qiu and C. L. Tien, “Short-pulse laser heating on metals,” Int. J. Heat Mass Transfer, No. 35, 719–726 (1992).

  4. D. Y. Tzou, “On the thermal shock wave induced by a moving heat source,” Int. J. Heat Mass Transfer, No. 111, 232–238 (1989).

  5. S. L. Sobolev, “Transport processes and traveling waves in local nonequilibrium systems,” Usp. Fiz. Nauk, 161, No. 3, 5–29 (1991).

    MathSciNet  Google Scholar 

  6. D. Jou, J. Casas-Vazquez, and G. Lebon, Extended Irreversible Thermodynamics, Springer, Berlin (2001).

    Book  MATH  Google Scholar 

  7. J. K. Engelbrecht, “The distribution modes of one-dimensional waves in an unbounded thermoelastic medium at a finite rate of heat propagation,” Izv. Akad. Nauk Eston. SSR, Fiz., Mat., 22, No. 2, 188–195 (1973).

    MathSciNet  Google Scholar 

  8. Ts. P. Ivanov, “Thermoviscoelasticity with a temperature rate dependence,” Theor. Appl. Mech., 5, No. 2, 81–85 (1974).

    Google Scholar 

  9. V. L. Kolpashchikov and S. Y. Yanovskii, “Coupled dynamic thermoelasticity problem for halfspaces with regard to thermal memory,” Inzh.-Fiz. Zh., 47, No. 1, 670–675 (1984).

    Google Scholar 

  10. V. Novacki, Dynamic Problems of Thermoelasticity [Russian translation], Mir, Moscow (1970).

    Google Scholar 

  11. L. D. Landau and E. M. Lifshits, Short Course of Theoretical Physics [in Russian], Vol. 1, Nauka, Moscow (1969).

    Google Scholar 

  12. A. M. Kosevich, Fundamentals of Crystal Lattice Mechanics [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  13. W. B. Pearson, A Handbook of Lattice Spacings and Structure of Metals and Alloys, Pergamon Press, London (1964).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. B. Babenkov.

Additional information

__________

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

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Published:

  • Issue Date:

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

Keywords

Navigation