Skip to main content
Log in

Thermoelastic Interactions without Energy Dissipation Due to a Point Heat Source

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

Abstract

The linear theory of thermoelasticity without energy dissipation is employed to study thermoelastic interactions due to a continuous point heat source in a homogeneous and isotropic unbounded solid. The Laplace transform method is employed to solve the problem. Exact expressions, in closed form, for the displacement, temperature and stress fields are obtained. Numerical results for a copper-like material are presented.

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. P. Chadwick, Thermoelasticity, the dynamic theory. In: I.N. Sneddon and R. Hill (eds), Progress in Solid Mechanics, Vol. I. North Holland, Amsterdam (1960) pp. 265–328.

  2. H.W. Lord and Y. Shulman, A generalized dynamical theory of thermoelasticity. J. Mech. Phys. Solids 15 (1967) 299–309.

    Article  MATH  ADS  Google Scholar 

  3. A.E. Green and K.A. Lindsay, Thermoelasticity. J. Elasticity 2 (1972) 1–7.

    Article  MATH  Google Scholar 

  4. D.S. Chandrasekharaiah, Thermoelasticity with second sound – A review. Appl. Mech. Rev. 39 (1986) 355–376.

    Article  MATH  Google Scholar 

  5. J. Ignaczak, Generalized thermoelasticity and its applications. In: R.B. Hetnarski (ed.), Thermal Stresses, Vol. III. Elsevier Science Publishers. B.V. (1989) pp. 280–353.

  6. D.D. Joseph and L. Preziosi, Heat waves. Rev. Mod. Phys. 61 (1988) 41–73; addendum 62 (1990) 375–391.

    Article  MathSciNet  ADS  Google Scholar 

  7. A.E. Green and P.M. Naghdi, Thermoelasticity without energy dissipation. J. Elasticity 31 (1993) 189–208.

    Article  MATH  MathSciNet  Google Scholar 

  8. D.S. Chandrasekharaiah, A uniqueness theorem in the theory of thermoelasticity without energy dissipation. J. Thermal Stresses 19 (1996) 267–272.

    MathSciNet  Google Scholar 

  9. D.S. Chandrasekharaiah, A note on the uniqueness of solution in the linear theory of thermoelasticity without energy dissipation. J. Elasticity 43 (1996) 279–283.

    Article  MATH  MathSciNet  Google Scholar 

  10. D.S. Chandrasekharaiah, One-dimensional wave propagation in the linear theory of thermoelasticity without energy dissipation. J. Thermal Stresses 19 (1996) 695–710.

    MathSciNet  Google Scholar 

  11. D.S. Chandrasekharaiah and K.S. Srinath, One-dimensional waves in a thermoelastic half space without energy dissipation. Int. J. Eng. Sci. 34 (1996) 1447–1455.

    Article  MATH  Google Scholar 

  12. D.S. Chandrasekharaiah and K.S. Srinath, Thermoelastic plane waves without energy dissipation in a half-space due to time-dependent heating of the boundary. J. Thermal Stresses 20 (1997) 659–676.

    MathSciNet  Google Scholar 

  13. D.S. Chandrasekharaiah and K.S. Srinath, Axisymmetric thermoelastic interactions without energy dissipation in an unbounded body with cylindrical cavity. J. Elasticity 46 (1997) 19–31.

    Article  MATH  Google Scholar 

  14. D.S. Chandrasekharaiah, Thermoelastic plane waves without energy dissipation. Mech. Res. Comm. 23 (1996) 549–555.

    Article  MATH  Google Scholar 

  15. D.S. Chandrasekharaiah, Thermoelastic Rayleigh waves without energy dissipation. Mech. Res. Comm. 24 (1997) 93–102.

    Article  MathSciNet  Google Scholar 

  16. D.S. Chandrasekharaiah and K.S. Srinath, Thermoelastic interactions without energy dissipation due to a line source. Acta Mechanica. (In press).

  17. H.H. Sherief, Fundamental solutions of the generalized thermoelastic problem for short times. J. Thermal Stresses 9 (1986) 151–164.

    Google Scholar 

  18. D.S. Chandrasekharaiah and K.R. Srikantiah, On temperature-rate-dependent thermoelastic interactions in an infinite solid due to a point heat source. Indian J. Techn. 25 (1987) 1–7.

    MATH  Google Scholar 

  19. H.H. Sherief, Fundamental solution for thermoelasticity with two relaxation times. Int. J. Eng. Sci. 30 (1992) 861–870.

    Article  MATH  Google Scholar 

  20. D.S. Chandrasekharaiah and L. Debnath, Continuum Mechanics, Chapters 1–4. Academic Press, New York (1994).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chandrasekharaiah, D., Srinath, K. Thermoelastic Interactions without Energy Dissipation Due to a Point Heat Source. Journal of Elasticity 50, 97–108 (1998). https://doi.org/10.1023/A:1007412106659

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007412106659

Navigation