Skip to main content
SpringerLink
Log in

Transient Disturbance in a Half Space Under Thermoelasticity with Two Relaxation Times Due to Moving Internal Heat Source

  • Published:
International Journal of Thermophysics Aims and scope Submit manuscript

Abstract

In this paper transient waves caused by a line heat source moving with a uniform velocity inside isotropic homogeneous thermoelastic half-space are studied under the GL model of generalized thermoelasticity. The problem is reduced to the solution of three differential equations by introducing the elastic vector potential and the thermoelastic scalar potential. Using Laplace and Fourier transforms solutions are obtained in transforms domain. Applying inverse transforms approximate solutions of the displacement at the boundary valid in the small time range are given. Also the approximate region valid for the solutions is given and two special cases, (i) the source is motionless and (ii) the relaxation times vanish, are studied. Numerical evaluations are presented for the medium of copper.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. H. W. Lord and Y. Shulman, J. Mech. Phys. Solid. 15:299(1967).

    Google Scholar 

  2. A. E. Green and K. E. Lindsay, J. Elasticity 2:1(1972).

    Google Scholar 

  3. D. S. Chandrasekharaiah, Appl. Mech. Rev. 39:355(1986).

    Google Scholar 

  4. D. S. Chandrasekharaiah, Appl. Mech. Rev. 51:705(1998).

    Google Scholar 

  5. Sarbani Chakravorty and Amitava Chakravorty, Int. J. Math. Math. Sci. 21:595(1998).

    Google Scholar 

  6. D. S. Chandrasekharaiah and K. R. Srikantiah, India J. Tech. 25:1(1987).

    Google Scholar 

  7. D. S. Chandrasekharaiah and H. N. Murthy, Acta Mech. 89:1(1991).

    Google Scholar 

  8. J. Ignaczak and E. Mrowka-Matejewska, J. Thermal Stresses 13:281(1990).

    Google Scholar 

  9. R. B. Hetnarski and J. Ignaczak, J. Thermal Stresses 16:473(1993).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Engineering Mechanics, Xi'an Jiaotong University, Xi'an, 710049, People's Republic of China

    Y. Q. Song & Y. C. Zhang

  2. Department of Mechanical Engineering, Xi'an Jiaotong University, Xi'an, 710049, People's, Republic of China

    B. H. Lu

Authors
  1. Y. Q. Song
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y. C. Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. B. H. Lu
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Song, Y.Q., Zhang, Y.C. & Lu, B.H. Transient Disturbance in a Half Space Under Thermoelasticity with Two Relaxation Times Due to Moving Internal Heat Source. International Journal of Thermophysics 24, 299–318 (2003). https://doi.org/10.1023/A:1022334920410

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022334920410

Search

Navigation