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A Green’s Function Approach to Analyze the Dispersion Characteristics of Love Type Wave Due to an Impulsive Point Source in a Piezoelectric Layered Structure

  • Anusree RayEmail author
  • Abhishek K. Singh
Conference paper
  • 24 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 308)

Abstract

An external source of disturbance in a material, even of point size, give rise to waves propagating away from the concerned region in its interior at a specified time. Such an impulse may be best described with the aid of Dirac delta function. Green’s function is primarily utilized in solving these problems of elastodynamics. The present study focuses to investigate the propagation characteristics of Love-type wave influenced by an impulsive point source in a layered structure comprised of a heterogeneous piezoelectric layer lying over a heterogeneous isotropic half-space. Green’s function technique is adopted in order to obtain the dispersion equation, which is further reduced to the classical result of Love wave. For sake of computation, numerical data of PZT-5H ceramics for the heterogeneous piezoelectric layer is considered. Influence of heterogeneity, piezoelectricity and dielectric constant associated with the heterogeneous piezoelectric layer; and effect of heterogeneity parameter and corresponding magnification factor concerned with heterogeneity in the isotropic half-space has been reported through graphical delineation.

Keywords

Green’s function Point source Heterogeneity Piezoelectricity Love-type wave 

Notes

Acknowledgements

The authors convey their sincere thanks to Indian Institute of Technology (Indian School of Mines), Dhanbad, for providing all the necessary facilities to carry out the research work.

References

  1. 1.
    Chattopadhyay, A., Singh, A.K.: Effect of point source and heterogeneity on the propagation of magnetoelastic shear wave in a monoclinic medium. Int. J. Eng. Sci. Technol. 3(2) (2011)Google Scholar
  2. 2.
    Chattopadhyay, A., Gupta, S., Kumari, P., Sharma, V.: Effect of point source and heterogeneity on the propagation of SH-Waves in a viscoelastic layer over a viscoelastic half space. Acta Geophys. 60(1), 119–139 (2012)CrossRefGoogle Scholar
  3. 3.
    Chattopadhyay, A., Kar, B.K.: Love waves due to a point source in an isotropic elastic medium under initial stress. Int. J. Non Linear Mech. 16(3), 247–258 (1981)CrossRefGoogle Scholar
  4. 4.
    Vives, A.A.: Piezoelectric Transducer and Applications. Springer, Berlin (2008)CrossRefGoogle Scholar
  5. 5.
    Wu, T.T., Chen, Y.Y.: Surface acoustic waves in layered piezoelectric media and its applications to the analyses of SAW devices. Chin. J. Mech. Eng-En. 19, 207–214 (2003)Google Scholar
  6. 6.
    Liu, H., Wang, Z.K., Wang, T.J.: Effect of initial stress on the propagation behavior of Love waves in a layered piezoelectric structure. Int. J. Solids Struct. 38(1), 37–51 (2001)CrossRefGoogle Scholar
  7. 7.
    Du, J., Jin, X., Wang, J., Xian, K.: Love wave propagation in functionally graded piezoelectric material layer. Ultrasonics 46(1), 13–22 (2007)CrossRefGoogle Scholar
  8. 8.
    Singh, A.K., Kumar, S., Chattopadhyay, A.: Love-type wave propagation in a piezoelectric structure with irregularity. Int. J. Eng. Sci. 89, 35–60 (2015)MathSciNetCrossRefGoogle Scholar
  9. 9.
    Wang, Q.: SH wave propagation in piezoelectric coupled plates. IEEE T. Ultrason. Ferr. 49(5), 596–603 (2002)CrossRefGoogle Scholar
  10. 10.
    Ewing, W.M., Jardetzky, W.S., Press, F.: Elastic Waves in Layered Media. McGraw-Hill, New York (1957)CrossRefGoogle Scholar
  11. 11.
    Gubbins, D.: Seismology and Plate Tectonics. Cambridge University Press, Cambridge (1990)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of Applied MathematicsIndian Institute of Technology (Indian School of Mines)DhanbadIndia

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