Skip to main content
Log in

Diffusion effect on plane harmonic waves through thermoelastic microstretch medium in context of Green–Naghdi theory

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

In this article, wave propagation phenomena are studied in a diffusive microstretch thermoelastic medium. Thermal signals moving in the medium are studied by a generalized thermoelastic theory presented by Green and Naghdi. The effect of two temperatures along with diffusion effect on waves is calculated analytically by considering a time harmonic wave solution. Finally, the analytical results obtained for general medium are presented graphically for a specific material.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

References

  1. P J Chen and M E Gurtin Zeitschrift furangewandte Mathematik und Physik ZAMP19 614 (1968).

    Article  ADS  Google Scholar 

  2. P J Chen, M E Gurtin and W O Williams Zeitschrift furangewandte Mathematik und Physik ZAMP20 107 (1969).

    Article  ADS  Google Scholar 

  3. P J Chen and W O Williams Zeitschrift furangewandte Mathematik und Physik ZAMP19 969 (1968).

    Article  ADS  Google Scholar 

  4. S Banik and M Kanoria Int. J. Ther.32 1247 (2011).

    Article  ADS  Google Scholar 

  5. B A Boley and I S Tolins J. Appl. Mech.29 637 (1962).

    Article  ADS  Google Scholar 

  6. W E Warren and P J Chen J. Acta Mech.16 21 (1973).

    Article  Google Scholar 

  7. H M Youssef and E Bassiouny Comput. Meth. Sci. Technol.14 55 (2008).

    Article  Google Scholar 

  8. H M Youssef and A A El-Bary J. Thermal Stresses 33 187 (2010).

    Article  Google Scholar 

  9. H M Youssef Math. Sci. Publishers 4 1637 (2009).

    Google Scholar 

  10. A Y Sarhan, Appl. Math. Modl. 38 5217 (2014).

    Article  Google Scholar 

  11. M I A Othman and E M A Elaziz Ind. J. Phys. 93 1 (2019).

    Article  Google Scholar 

  12. S M Said Meccanica 50 2077 (2019).

    Article  Google Scholar 

  13. S M Said J. Comput. Appl. Math.. 291 142 (2016).

    Article  MathSciNet  Google Scholar 

  14. S M Said Mult. Model. Mat. Str. 12 362 (2015).

    Article  Google Scholar 

  15. S M Said Comput. Mater. Contin. 52 1 (2016).

    Google Scholar 

  16. A E Green and P M Naghdi Proc. R. Soc. Lond. A432 171 (1991).

    Article  ADS  Google Scholar 

  17. A E Green and P M Naghdi J. Thermal Stresses15 253 (1992).

    Article  ADS  MathSciNet  Google Scholar 

  18. A E Green and P M Naghdi J. Elast.31 189 (1993).

    Article  Google Scholar 

  19. S Y Atwa and A Jahangir Int. J. Thermophys.34 2209 (2013).

    Article  Google Scholar 

  20. A C Eringen Int. J. Eng. Sci.28 1291 (1990).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Adnan Jahangir.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jahangir, A., Atwa, S., Rehman, N. et al. Diffusion effect on plane harmonic waves through thermoelastic microstretch medium in context of Green–Naghdi theory. Indian J Phys 94, 987–998 (2020). https://doi.org/10.1007/s12648-019-01545-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-019-01545-0

Keywords

PACS No.

Navigation