Skip to main content
Log in

Plane Strain Deformation in Generalized Thermoelastic Diffusion

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

Abstract

The present investigation is concerned with plane strain deformation in homogeneous isotropic generalized thermoelastic diffusion subjected to a normal force, thermal source, and chemical potential source. Laplace and Fourier transform techniques are employed to solve the problem. The integral transform have been inverted by using a numerical technique to obtain the displacements, stresses, temperature distribution, and chemical potential distribution. The numerical results of these quantities are illustrated graphically to depict the response of various sources in the theories of thermoelastic diffusion and thermoelasticity for a particular model. Some particular cases have been deduced from the present investigation.

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. Lord W., Shulman Y.: Mech. Phys. Solids 15, 299 (1967)

    Article  MATH  ADS  Google Scholar 

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

    Article  MATH  Google Scholar 

  3. Nowacki W.: Bull. Acad. Pol. Sci. Ser. Sci. Technol. 22, 55 (1974)

    MathSciNet  Google Scholar 

  4. Nowacki W.: Bull. Acad. Pol. Sci. Ser. Sci. Technol. 22, 129 (1974)

    Google Scholar 

  5. Nowacki W.: Bull. Acad. Pol. Sci. Ser. Sci. Technol. 22, 257 (1974)

    Google Scholar 

  6. Nowacki W.: Eng. Fract. Mech. 8, 261 (1976)

    Article  Google Scholar 

  7. Olesiak Z.S., Pyryev Y.A.: Int. J. Eng. Sci. 33, 773 (1995)

    Article  MATH  Google Scholar 

  8. Genin J., Xu W.: ZAMP 50, 511 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. Sherief H.H., Saleh H., Hamza F.: Int. J. Eng. Sci. 42, 591 (2004)

    Article  MathSciNet  Google Scholar 

  10. Sherief H.H., Saleh H.: Int. J. Solids Struct. 42, 4484 (2005)

    Article  MATH  Google Scholar 

  11. Singh B.: J. Earth. Syst. Sci. 114, 159 (2005)

    Article  Google Scholar 

  12. Singh B.: J. Sound Vibr. 291, 764 (2006)

    Article  ADS  Google Scholar 

  13. M. Aouadi, Int. J. Math. Math. Sci. 2006, 1 (2006), Article ID 25976

  14. Aouadi M.: ZAMP 57, 350 (2006)

    Article  MATH  ADS  Google Scholar 

  15. Honig G., Hirdes U.: J. Comput. Appl. Math. 10, 113 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  16. Press W.H., Teukolshy S.A., Vellerling W.T., Flannery B.P.: Flannery, Numerical Recipes in Fortran. Cambridge University Press, Cambridge (1986)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rajneesh Kumar.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sharma, N., Kumar, R. & Ram, P. Plane Strain Deformation in Generalized Thermoelastic Diffusion. Int J Thermophys 29, 1503–1522 (2008). https://doi.org/10.1007/s10765-008-0435-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10765-008-0435-8

Keywords

Navigation