Skip to main content

Advertisement

SpringerLink
Log in

Influence of energy dissipation on plane harmonic waves through a piezo-thermo-elastic medium

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract.

The concept of thermo-elasticity proposed by Green and Naghdi is employed to study the plane harmonic waves through a piezo-electric thermo-elastic medium. An analytical technique of normal modes is adopted to find the exact solution of the problem. The theoretical results obtained are represented graphically for the particular material. It is found that energy dissipation reduces the amplitude of waves propagating through the medium. The results fully agree with physical interpretation of the problem.

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. A.E. Green, P.M. Naghdi, Proc. R. Soc. London A 432, 171 (1991)

    Article  ADS  Google Scholar 

  2. A.E. Green, P.M. Naghdi, J. Thermal Stresses 15, 253 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  3. A.E. Green, P.M. Naghdi, J. Elast. 31, 189 (1993)

    Article  Google Scholar 

  4. D.E. Chandrasekharaiah, J. Thermal Stresses 19, 267 (1996)

    Article  MathSciNet  Google Scholar 

  5. D.S. Chandrasekharaiah, K.S. Srinath, J. Elast. 46, 19 (1997)

    Article  Google Scholar 

  6. M.I.A. Othman, Y. Song, Appl. Math. Model. 32, 811 (2008)

    Article  MathSciNet  Google Scholar 

  7. Baljeet Singh, Proc. Indian Acad. Sci. 111, 29 (2002)

    Google Scholar 

  8. R. Kumar, S.K. Garg, S. Ahuja, Latin Am. J. Solids Struct. 10, 1081 (2013)

    Article  Google Scholar 

  9. R. Kumar, S. Devi, Appl. Math. Inf. Sci. 5, 132 (2011)

    MathSciNet  Google Scholar 

  10. M.I.A. Othman, Y. Sarhan, A. Jahangir, A. Khan, Multidisc. Model. Mater. Struct. 9, 145 (2013)

    Article  Google Scholar 

  11. M.I.A. Othman, Y. Sarhan, A. Jahangir, A. Khan, Mech. Adv. Mater. Struct. 22, 945 (2015)

    Article  Google Scholar 

  12. Moncef Aouadi, Int. J. Solid Struct. 43, 6347 (2006)

    Article  Google Scholar 

  13. H. Lord, Y. Shulman, J. Mech. Phys. Solid 15, 299 (1967)

    Article  ADS  Google Scholar 

  14. Al-shaikh Fatimah, Int. J. Pure Appl. Sci. Technol. 13, 27 (2012)

    Google Scholar 

  15. M.I.A. Othman, S. Atwa, W. Hosana, E.A. Ehmad, Int. J. Innov. Res. Sci., Eng. Technol. 4, 292 (2015)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Higher Institute of Engineering, Dep. of Eng. Math. and Physics, Shorouk Academy, El Shorouk, Egypt

    Sarhan Y. Atwa

  2. Department of applied Mathematics, ERICA Hanyang University, 426-791, Ansan, South Korea

    M. Nazeer

  3. Department of Mathematics, COMSATS, Institute of Information Technology, Wah Campus, Pakistan

    M. Nazeer & J. Adnan

  4. Department of Mathematics, COMSATS, Institute of Information Technology, Islamabad, Pakistan

    Nadia Rehman

Authors
  1. Sarhan Y. Atwa
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Nazeer
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. Adnan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Nadia Rehman
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. Adnan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Atwa, S.Y., Nazeer, M., Adnan, J. et al. Influence of energy dissipation on plane harmonic waves through a piezo-thermo-elastic medium. Eur. Phys. J. Plus 132, 301 (2017). https://doi.org/10.1140/epjp/i2017-11546-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2017-11546-1

Search

Navigation