Skip to main content
Log in

Influence of a Thin Metal Interlayer on the Propagation of Bleustein–Gulyaev-Type Waves in Peizoelectric Bodies

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

We deduce the dispersion equations for Bleustein–Gulyaev-type waves propagating along a thin metal interlayer in a piezoelectric medium. The dynamic interaction of the matrix with the interlayer is modeled by the effective contact conditions of the composite components with regard for their electromechanical properties. The conditions required for the existence of these waves are analyzed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Y. V. Gulyaev, “Acoustoelectronics (historical review),” Usp. Fiz. Nauk, 175, No. 8, 887–895 (2005); English translation: Phys. Usp., 48, No. 8, 847–855 (2005); PU2005v048n08ABEH002840.

  2. Ya. I. Kunets and V. V. Matus, “Asymptotic approach in the dynamic problems of the theory of elasticity for bodies with thin elastic inclusions,” Mat. Met. Fiz.-Mekh. Polya, 63, No. 1, 75–93 (2020); English translation: J. Math. Sci., 270, No. 1, 87–106 (2023).

  3. Ia. M. Pasternak, H. Т. Sulym, and N. I. Ilchuk, “Interaction of physicomechanical fields in bodies with thin structural inhomogeneities: A survey,” Mat. Met. Fiz.-Mekh. Polya, 61, No. 2, 57–79 (2018); English translation: J. Math. Sci., 253, No. 1, 63–83 (2021); 10.1007/s10958-021-05213-9.

  4. T. I. Belyankova and V. V. Kalinchuk, “Modelling of pre-stressed piezoelectric structures with inhomogeneous coating,” Procedia Eng., 199, 1513–1518 (2017); https://doi.org/10.1016/j.proeng.2017.09.491.

  5. Y. Benveniste, "An interface model for a three-dimensional curved thin piezoelectric interphase between two piezoelectric media,” Math. Mech. Solids, 14, No. 1-2, 102–122 (2009); https://doi.org/10.1177/1081286508092605.

  6. J. L. Bleustein, “A new surface wave in piezoelectric materials,” Appl. Phys. Lett., 13, No. 12, 412–413 (1968); https://doi.org/10.1063/1.1652495.

    Article  Google Scholar 

  7. R. G. Curtis and M. Redwood, “Transverse surface waves on a piezoelectric material carrying a metal layer of finite thickness,” J. Appl. Phys., 44, No. 5, 2002–2007 (1973); https://doi.org/10.1063/1.1662506.

    Article  Google Scholar 

  8. H. Fun, J. Yang, and L. Xu, “Piezoelectric waves near an imperfectly bonded interface between two half spaces,” Appl. Phys. Lett., 88, No. 20, 203509-1–203509-3 (2006); https://doi.org/10.1063/1.2206702.

  9. X. Guo, P. Wei, Li Li, and Q. Tang, “Influences of mechanically and dielectrically imperfect interfaces on the reflection and transmission waves between two piezoelectric half spaces,” Int. J. Solids Struct., 63, 184–205 (2015); https://doi.org/10.1016/j.ijsolstr.2015.02.050.

  10. F. Jiao, P. Wei, Y. Zhou, and X. Zhou, “Wave propagation through a piezoelectric semiconductor slab sandwiched by two piezoelectric half spaces,” Eur. J. Mech. A Solids, 75, 70–81 (2019); https://doi.org/10.1016/j.euromechsol.2019.01.007.

  11. F. Jin, Z. Wang, and T. Wang, “The Bleustein–Gulyaev (B–G) wave in a piezoelectric interlayered half space,” Int. J. Eng. Sci., 39, No. 11, 1271–1285 (2001); https://doi.org/10.1016/S0020-7225(00)00091-4.

  12. P. Kumar, M. Mahanty, A. Chattopadhyay, and A. K. Singh, “Effect of interfacial imperfection on shear wave propagation in a piezoelectric composite structure: Wentzel–Kramers–Brillouin asymptotic approach,” J. Intel. Mater. Syst. Struct., 30, No. 18-19, 2789–2807 (2019); https://doi.org/10.1177/1045389X19873413.

    Article  Google Scholar 

  13. P. Li and F. Jin, “Excitation and propagation of shear horizontal waves in a piezoelectric interlayer imperfectly bonded to a metal or elastic substrate,” Acta Mech., 226, 267–284 (2015); https://doi.org/10.1007/s00707-014-1181-6.

    Article  MathSciNet  MATH  Google Scholar 

  14. C. Maerfeld and P. Tournois, “Pure shear elastic surface wave guided by the interface of two semi-infinite media,” Appl. Phys. Lett., 19, No. 4, 117–118 (1971); https://doi.org/10.1063/1.1653836.

    Article  Google Scholar 

  15. K. Nakamura, “Shear-horizontal piezoelectric surface acoustic waves,” Jap. J. Appl. Phys., 46, No. 7S, 4421–4427 (2007); https://doi.org/10.1143/JJAP.46.4421.

    Article  Google Scholar 

  16. A. Singhal, S. A. Sahu, and S. Chaudhary, “Approximation of surface wave frequency in piezo-composite structure,” Compos. Part B-Eng., 144, 19–28 (2018); https://doi.org/10.1016/j.compositesb.2018.01.017.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ya. I. Kunets.

Additional information

Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 3, pp. 40–45, July–September, 2020.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kunets, Y.I., Matus, V.V., Maksymiv, Y.I. et al. Influence of a Thin Metal Interlayer on the Propagation of Bleustein–Gulyaev-Type Waves in Peizoelectric Bodies. J Math Sci 273, 44–50 (2023). https://doi.org/10.1007/s10958-023-06482-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-023-06482-2

Keywords

Navigation