Dynamics of SH Wave Propagation in Al/BaTiO3 Composite Structure

  • Sonal NirwalEmail author
  • Sanjeev A. Sahu
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 308)


The present article manifests the transference of horizontally polarised shear (SH) wave in an aluminium (Al) plate overlying by a Functionally Graded Piezoelectric Material (FGPM) layer. The separation of variables method is adopted to find the solution. The phase velocity of the wave is calculated for both electrically open and short cases. The significant influence of various affecting parameters on the phase velocity curve is demonstrated through graphs. Findings may be applicable in the structural health monitoring, surface acoustic wave (SAW) devices and ultrasonic inspection techniques.


Piezoelectric FGPM SH wave Electrically open and short cases 



The authors express their sincere thanks to the Science and Engineering Research Board (SERB), New Delhi, India for providing financial assistance through project No. YSS/2015/002057.


  1. 1.
    Bleustein, J.L.: A new surface wave in piezoelectric materials. Appl. Phys. Lett. 13(12), 412–413 (1968)CrossRefGoogle Scholar
  2. 2.
    Tiersten, H.F.: Linear Piezoelectric Plate Vibrations: Elements of the Linear Theory of Piezoelectricity and the Vibrations Piezoelectric Plates. Springer, Berlin (2013)Google Scholar
  3. 3.
    Wang, J., Yong, Y.K., Imai, T.: Finite element analysis of the piezoelectric vibrations of quartz plate resonators with higher-order plate theory. Int. J. Solids Struct. 36(15), 2303–2319 (1999)CrossRefGoogle Scholar
  4. 4.
    Kundu, S., Manna, S., Gupta, S.: Love wave dispersion in pre-stressed homogeneous medium over a porous half-space with irregular boundary surfaces. Int. J. Solids Struct. 51(21–22), 3689–3697 (2014)CrossRefGoogle Scholar
  5. 5.
    Singh, A.K., Parween, Z., Kumar, S.: Love-type wave propagation in a corrugated piezoelectric structure. J. Intel. Mater. Syst. Struct. 27(19), 2616–2632 (2016)CrossRefGoogle Scholar
  6. 6.
    Saroj, P.K., et al.: Love-type waves in functionally graded piezoelectric material (FGPM) sandwiched between initially stressed layer and elastic substrate. Waves Random Complex Media 25(4), 608–627 (2015)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Singhal, A., Sahu, S.A., Chaudhary, Soniya: Approximation of surface wave frequency in piezo-composite structure. Compos. Part B: Eng. 144, 19–28 (2018)CrossRefGoogle Scholar
  8. 8.
    Sahu, S.A., Mondal, S., Dewangan, N.: Polarized shear waves in functionally graded piezoelectric material layer sandwiched between corrugated piezomagnetic layer and elastic substrate. J. Sandwich Struct. Mater. (2017). 1099636217726330Google Scholar
  9. 9.
    Singh, M.K., et al.: Approximation of surface wave velocity in smart composite structure using Wentzel–Kramers–Brillouin method. J. Intell. Mater. Syst. Struct. (2018). 1045389X18786464Google Scholar
  10. 10.
    Ezzin, H., Amor, M.B., Ghozlen, M.H.B.: Love waves propagation in a transversely isotropic piezoelectric layer on a piezomagnetic half-space. Ultrasonics 69, 83–89 (2016)CrossRefGoogle Scholar
  11. 11.
    Ezzin, H., Amor, M.B., Ghozlen, M.H.B.: Propagation behavior of SH waves in layered piezoelectric/piezomagnetic plates. Acta Mechanica 228(3), 1071–1081 (2017)CrossRefGoogle Scholar
  12. 12.
    Wang, Q., Wu, N., Quek, S.T.: Acoustic wave in piezoelectric coupled plates with open circuit. Int. J. Struct. Stab. Dyn. 10(02), 299–313 (2010)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of Mathematics and ComputingIndian Institute of Technology (Indian School of Mines)DhanbadIndia

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