Skip to main content
SpringerLink
Log in

Rayleigh wave in a thermoelastic solid half-space with impedance boundary conditions

  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

In the present paper, the Rayleigh wave in a generalized thermoelastic solid half-space is considered with impedance boundary conditions. The governing equations of homogeneous and isotropic generalized thermoelastcity are solved for general surface wave solutions. The general solutions in the half-space satisfy the required radiation conditions. These solutions also satisfy the required impedance boundary conditions at the free surface of the half-space to obtain the secular equation for wave speed of Rayleigh wave for the cases of thermally insulated surface and isothermal surface. The non-dimensional wave speed is computed for a relevant material data to observe the effects of impedance parameters and frequency.

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

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Biot MA (1956) Thermoelasticity and irreversible thermodynamics. J Appl Phys 2:240–253

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Green AE, Lindsay KA (1972) Thermoelasticity. J Elast 2:1–7

    Article  MATH  Google Scholar 

  3. Lord H, Shulman Y (1967) A generalised dynamical theory of thermoelasticity. J Mech Phys Solids 15:299–309

    Article  ADS  MATH  Google Scholar 

  4. Ignaczak J, Ostoja-Starzewski M (2009) Thermoelasticity with finite wave speeds. Oxford University Press, Oxford

    Book  MATH  Google Scholar 

  5. Hetnarski RB, Ignaczak J (1999) Generalized thermoelasticity. J Therm Stress 22:451–476

    Article  MathSciNet  MATH  Google Scholar 

  6. Rayleigh L (1885) On waves propagated along the plane surface of an elastic solid. Proc R Soc Lond Ser A 17:4–11

    MathSciNet  MATH  Google Scholar 

  7. Lockett FJ (1958) Effect of the thermal properties of a solid on the velocity of Rayleigh waves. J Mech Phys Solids 7:71–75

    Article  ADS  MathSciNet  MATH  Google Scholar 

  8. Flavin JN (1962) Thermoelastic Rayleigh waves in a prestressed medium. Math Proc Camb Philos Soc 58:532–538

    Article  ADS  MathSciNet  Google Scholar 

  9. Chadwick P, Windle DW (1964) Propagation of Rayleigh waves along isothermal and insulated boundaries. Proc R Soc Lond A 280:47–71

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. Malischewsky PG (1987) Surface waves and discontinuities. Elsevier, Amsterdam

    Google Scholar 

  11. Godoy E, Durn M, Ndlec J-C (2012) On the existence of surface waves in an elastic half-space with impedance boundary conditions. Wave Motion 49:585–594

    Article  MathSciNet  Google Scholar 

  12. Vinh PC, Hue TTT (2014) Rayleigh waves with impedance boundary conditions in anisotropic solids. Wave Motion 51:1082–1092

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh, 160 011, India

    Baljeet Singh

Authors
  1. Baljeet Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Baljeet Singh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Singh, B. Rayleigh wave in a thermoelastic solid half-space with impedance boundary conditions. Meccanica 51, 1135–1139 (2016). https://doi.org/10.1007/s11012-015-0269-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-015-0269-y

Keywords

Search

Navigation