Skip to main content
SpringerLink
Log in

Influence of Rigid Boundary on the Love Wave Propagation in Elastic Layer with Void Pores

  • Published:
Acta Mechanica Solida Sinica Aims and scope Submit manuscript

Abstract

In this paper, a mathematical model for Love wave propagation in a porous elastic layer under a rigid boundary resting over a poro-elastic half-space has been developed. The study shows that such a medium transmits two types of Love waves. The first front depends on the change in volume fraction of the pores whereas the second front depends upon the modulus of rigidity of the elastic matrix of the medium and is the same as the Love wave in an elastic layer over an elastic half-space. It is observed that the first front is many times faster than the shear wave in the medium with void pores due to the change in the volume fraction of the pores and is significant.

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. Ewing, W.M., Jardetzky, W.S. McGraw Hill: and Press, F., Elastic Waves in Layered Media. New York, U.S.A., 1957.

    MATH  Google Scholar 

  2. Love, A.E.H., A Treatise on Mathematical Theory of Elasticity(Fourth Edition). Dover Publication: New York, 1944.

    MATH  Google Scholar 

  3. Achenbach, J.D., Wave Propagation in Elastic Solids. North Holland Publishing Company: New York, 1973.

    MATH  Google Scholar 

  4. Pilant, W.L., Elastic Waves in the Earth. Elsevier Scientific: New York, 1978.

    Google Scholar 

  5. Chattopadhyay, A., Chakraborty, M. and Kushwaha, V., On the dispersion equation of Love waves in a porous layer. Acta Mechanica, 1986, 58: 125–136.

    Article  Google Scholar 

  6. Konczak, Z., The propagation of Love waves in a fluid-saturated porous anisotropic layer. Acta Mechanica, 1989, 79: 155–168.

    Article  MathSciNet  Google Scholar 

  7. Wang, Y.S. and Zhang, Z.M., Propagation of Love waves in a transversely isotropic fluid saturated porous layered half-space. Journal of the Acoustical Society of America, 1998, 103(2): 695–701.

    Article  Google Scholar 

  8. Ke, L.L., Wang, Y.S. and Zhang, Z.M., Propagation of Love waves in an inhomogeneous fluid saturated porous layered half-space with linearly varying properties. Soil Dynamics and Earthquake Engineering, 2006, 26: 574–581.

    Article  Google Scholar 

  9. Ghorai, A.P., Samal, S.K. and Mahanti, N.C., Love wave in a fluid-saturated porous layer under a rigid boundary and lying over an elastic half-space under gravity. Applied Mathematical Modeling, 2010, 34(7): 1873–1883.

    Article  MathSciNet  Google Scholar 

  10. Du, J.K., Xian, K., Wang, J. and Yong, Y.K., Propagation of Love waves in prestressed piezoelectric layered structures loaded with viscous liquid. Acta Mechanica Solida Sinica, 2008, 21(6): 542–548.

    Article  Google Scholar 

  11. Liu, J. and He, S., Properties of Love waves in layered piezoelectric structures. International Journal of Solids and Structures, 2010, 47: 169–174.

    Article  Google Scholar 

  12. Liu, J., Wang, Z.K. and Zhang, L., Love waves in layered structures with graded materials. Acta Mechanica Solida Sinica, 2004, 25(2): 165–170.

    Google Scholar 

  13. Quin, Z.H., Jin, F., Kishimoto, K. and Lu, T., Propagation behavior of Love waves in a functionally graded half-space with initial stress. International Journal of Solid and Structure, 2009, 46: 1354–1361.

    Article  Google Scholar 

  14. Nunziato, J.W. and Cowin, S.C., A non-linear theory of elastic material with voids. Archive of Rational Mechanics and Analysis, 1979, 72: 175–201.

    Article  Google Scholar 

  15. Cowin, S.C. and Nunziato, J.W., Linear elastic materials with voids. Journal of Elasticity, 1983, 13: 125–147.

    Article  Google Scholar 

  16. Parfitt, V.R. and Eringen, A.C., Reflection of plane waves from flat boundary of a micropolar elastic half-space. Journal of the Acoustical Society of America, 1969, 45(5): 1258–1272.

    Article  Google Scholar 

  17. Tomar, S.K. and Gogna, M.L., Reflection and refraction of coupled transverse and micro-rotational waves at an interface between two different micropolar elastic media in welded contact. International Journal of Engineering Science, 1995, 33(4): 485–496.

    Article  Google Scholar 

  18. Singh, B. and Kumar, R., Reflection and refraction of plane waves at an interface between micropolar elastic solid and viscoelastic solid. International Journal of Engineering Science, 1998, 36(2): 119–135.

    Article  Google Scholar 

  19. Midya, G.K., On Love-type surface waves in homogeneous micro polar elastic media. International Journal of Engineering Science, 2004, 42(11): 1275–1288.

    Article  MathSciNet  Google Scholar 

  20. Chandrasekharaiah, D.S., Effect of surface stresses and voids on Rayleigh waves in an elastic solid. International Journal of Engineering Science, 1987, 25(2): 205–211.

    Article  MathSciNet  Google Scholar 

  21. Iesan, D. and Nappa, L., Axially symmetric problems for a porous elastic solid. International Journal of Solid and Structure, 2003, 40(20): 5271–5286.

    Article  Google Scholar 

  22. Golamhossen, F.R., Propagation of waves in an elastic cylinder with voids. Research Journal-University of Mauritius, 2000, 5: 43–52.

    Google Scholar 

  23. Dey, S., Gupta, S., Gupta, A.K., Kar, S.K. and De, P.K., Propagation of torsional surface waves in an elastic layer with void pores over an elastic half-space with void pores. Tamkang Journal of Science and Engineering, 2003, 6(4): 241–249.

    Google Scholar 

  24. Puri, P. and Cowin, S.C., Plane waves in linear elastic materials with voids. Journal of Elasticity, 1985, 15: 167–183.

    Article  Google Scholar 

  25. Dey, S., Gupta, S. and Gupta, A.K., Propagation of Love waves in an elastic layer with void pores. Sadhana, 2004, 29(4): 355–363.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Indian School of Mines, Dhanbad, 826004, India

    Sumit Kumar Vishwakarma, Shishir Gupta & Dinesh Kumar Majhi

  2. Department of Mathematics, Birla Institute of Technology and Science, Hyderabad, Pilani, 500078, India

    Sumit Kumar Vishwakarma

Authors
  1. Sumit Kumar Vishwakarma
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shishir Gupta
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Dinesh Kumar Majhi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sumit Kumar Vishwakarma.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vishwakarma, S.K., Gupta, S. & Majhi, D.K. Influence of Rigid Boundary on the Love Wave Propagation in Elastic Layer with Void Pores. Acta Mech. Solida Sin. 26, 551–558 (2013). https://doi.org/10.1016/S0894-9166(13)60049-X

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S0894-9166(13)60049-X

Keywords

Search

Navigation