Acta Mechanica Solida Sinica

, Volume 21, Issue 6, pp 542–548 | Cite as

Propagation of love waves in prestressed piezoelectric layered structures loaded with viscous liquid

  • Jianke Du
  • Kai Xian
  • Ji Wang
  • Yook-Kong Yong


We investigate analytically the effect of initial stress in piezoelectric layered structures loaded with viscous liquid on the dispersive and attenuated characteristics of Love waves, which involves a thin piezoelectric layer bonded perfectly to an unbounded elastic substrate. The effects of initial stress in the piezoelectric layer and the viscous coefficient of the liquid on the phase velocity of Love waves are analyzed. Numerical results are presented and discussed. The analytical method and the results can be useful for the design of chemical and biosensing liquid sensors.

Key words

Love waves piezoelectric viscous liquid initial stress 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Zaitsev, B.D., Kuznetsova, I.E., Joshi, S.G. and Borodina, I.A., Acoustic waves in piezoelectric plates bordered with viscous and conductive liquid. Ultrasonics, 2001, 39(1): 45–50.CrossRefGoogle Scholar
  2. [2]
    Guo, F.L. and Sun, R., Propagation of Bleustein-Gulyaev wave in 6 mm piezoelectric materials loaded with viscous liquid. International Journal of Solids and Structures, 2008, 45(13): 3699–3710.CrossRefGoogle Scholar
  3. [3]
    Zhang, C., Caron, J.J., and Vetelino, J.F., The Bleustein-Gulyaev wave for liquid sensing applications. Sensors and Actuators, B: Chemical, 2001, 76(1–3): 64–68.CrossRefGoogle Scholar
  4. [4]
    Yang, C.H. and Shue, C.J., Guided waves propagating in a piezoelectric plate immersed in a conductive fluid. NDT & E International, 2001, 34(3): 199–206.CrossRefGoogle Scholar
  5. [5]
    Shulga, N.A. and Zinchuk, L.P., Dispersion of surface waves in a periodically laminated piezoelectric half-space with liquid upper layer. International Applied Mechanics, 2005, 41(3): 272–276.CrossRefGoogle Scholar
  6. [6]
    Wu, T.T., and Wu, T.Y., Surface waves in coated anisotropic medium loaded with viscous liquid. ASME Journal of Applied Mechanics, 2000, 67: 262–266.CrossRefGoogle Scholar
  7. [7]
    Fabien, J. et al., Analysis of piezoelectric bulk-acoustic-wave resonators as detectors in viscous conductive liquids. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 1990, 37(5): 359–368.CrossRefGoogle Scholar
  8. [8]
    Lee, Y.C. and Kuo, S.H., Leaky Lamb wave of a piezoelectric plate subjected to conductive fluid loading: Theoretical analysis and numerical calculation. Journal of Applied Physics, 2006, 100(7): 073519-1–10.Google Scholar
  9. [9]
    Tamarin, O. et al, Simple analytical method to estimate the influence of liquids viscosity on love wave chemical sensors. Proceedings of the IEEE Ultrasonics Symposium, 2001, 1: 343–346.Google Scholar
  10. [10]
    McMullan, C., Mehta, H., Gizeli, E. and Lowe, C.R., Modeling of the mass sensitivity of the Love wave device in the presence of a viscous liquid. Journal of Physics D: Applied Physics, 2000, 33: 3053–3059.CrossRefGoogle Scholar
  11. [11]
    Ke, L.L., Wang, Y.S. and Zhang, Z.M., Love waves in an inhomogeneous fluid saturated porous layered half-space with linearly varying properties. Soil Dynamics and Earthquake Engineering, 2006, 26(6–7): 574–581.CrossRefGoogle Scholar
  12. [12]
    Peng, F., Liu, H. and Hu, S.Y., Love wave propagation in a layered piezoelectric structure immersed in a fluid. Key Engineering Materials, 2006, 306–308: 1211–1216.CrossRefGoogle Scholar
  13. [13]
    Yang, J.S., Love waves in Piezoelectromagnetic materials. Acta Mechanica, 2004, 168(1–2): 111–117.CrossRefGoogle Scholar
  14. [14]
    Du, J.K., Jin, X.Y. and Wang, Ji, SH wave propagation in a cylindrically layered piezoelectric structure with initial stress. Acta Mechanica, 2007, 191(1–2): 59–74.CrossRefGoogle Scholar
  15. [15]
    Qian, Z., Jin, F., Wang, Z. and Kishimoto, K., Love waves propagation in a piezoelectric layered structure with initial stresses. Acta Mechanica, 2004, 171: 41–57.CrossRefGoogle Scholar
  16. [16]
    Sinha, B.K., Tanski, W.J., Lukaszek, T., and Ballato, A., Influence of biasing stresses on the propagation of surface waves. Journal of Applied Physics, 1985, 57: 767–776.CrossRefGoogle Scholar
  17. [17]
    Lematre, M. et al, Modeling of Ultrasonic wave propagation in integrated piezoelectric structures under residual stress. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2006, 53(4): 685–696.CrossRefGoogle Scholar
  18. [18]
    Yang, J.S., An Introduction to the Theory of Piezoelectricity. Springer, USA, 2005.zbMATHGoogle Scholar
  19. [19]
    Yang, J.S., The Mechanics of Piezoelectric Structures. World Scientific, Singapore, 2006.CrossRefGoogle Scholar
  20. [20]
    Wang, Z.K. and Shang, F.L., Cylindrical buckling of piezoelectric laminated plates. Acta Mechanica Solida Sinica, 1997, 18: 101–108.Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2008

Authors and Affiliations

  1. 1.Department of Mechanics and Engineering Science, School of EngineeringNingbo UniversityNingboChina
  2. 2.Department of Civil and Environmental EngineeringRutgers UniversityPiscatawayUSA

Personalised recommendations