Abstract
Based on the shear spring model, the propagation of Love wave in two-layered piezoelectric/elastic composite plates under the influence of interfacial defect is investigated. The piezoelectric layer is electrically shorted at both top and bottom surfaces. The wave form solutions of the piezoelectric and elastic layers are obtained, and the dispersion equation is derived by subjecting the boundary conditions and the continuity conditions to the obtained wave form solutions. Numerical results are performed for PZT4/aluminum composite plate. The phase velocities and the mode shapes of mechanical displacement and electric potential are illustrated graphically. The results show that both the interfacial defect and the thickness ratio between the piezoelectric and elastic layers have significant effect on the propagation characteristics of Love wave. One important feature is observed that the interfacial defect always decreases the phase velocities.
Similar content being viewed by others
References
Rose J.L.: Ultrasonic Waves in Solid Media. Cambridge University Press, Cambridge (1999)
Yang J.S.: Analysis of Piezoelectric Devices. World Scientific, Singapore (2006)
Gizeli E., Lowe C.R., Liley M., Vogel H.: Detection of supported lipid layers with the acoustic Love waveguide device: application to biosensors. Sens. Actuators B 34, 295–300 (1996)
Grimal Q., Naili S., Watzky A.: A study of transient elastic wave propagation in a bimaterial modeling the thorax. Int. J. Solids Struct. 39, 5345–5369 (2002)
Ryden N., Lowe M.J.S.: Guided wave propagation in three-layer pavement structures. J. Acoust. Soc. Am. 116, 2902–2913 (2004)
Lee Y.C., Cheng S.W.: Measuring Lamb wave dispersion curves of a bi-layered plate and its application on material characterization of coating. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 48, 830–837 (2001)
Cicco G.D., Morten B.: New approach to the excitation of plate waves for piezoelectric thick-film devices. Ultrasonics 48, 697–706 (2008)
Bleustein J.L.: A new surface wave in piezoelectric materials. Appl. Phys. Lett. 13, 412–414 (1968)
Tiersten H.F.: Linear Piezoelectric Plate Vibrations. Plenum, New York (1969)
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, 2303–2319 (1999)
Yang J.S.: Thickness-twist edge modes in a semi-infinite piezoelectric plate of crystals with 6~mm symmetry. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 54, 220–221 (2007)
Curtis R.G., Redwood M.: Transverse surface waves on a piezoelectric material carrying a metal layer of finite thickness. J. Appl. Phys. 44, 2002–2007 (1973)
Cheng N.C., Sun C.: Wave propagation in two-layered piezoelectric plates. J. Acoust. Soc. Am. 57, 632–638 (1975)
Wang Q.: Wave propagation in a piezoelectric coupled solid media. ASME J. Appl. Mech. 69, 819–823 (2002)
Wang Q.: SH wave propagation in piezoelectric coupled plates. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 49, 596–603 (2002)
Wang Q., Wu N., Quek S.T.: Acoustic wave in piezoelectric coupled plated with open circuit. Int. J. Struct. Stab. Dyn. 10, 299–313 (2010)
Du J.K., Jin X.Y., Wang J., Xian K.: Love wave propagation in functionally graded piezoelectric material layer. Ultrasonics 46, 13–22 (2007)
Qian Z.H., Jin F., Hirose S.: Effects of covering layer thickness on Love waves in functionally graded piezoelectric substrates. Arch. Appl. Mech. 81, 1743–1755 (2011)
Jin F., Wang Z.K., Wang T.J.: The propagation behaviour of Love waves in a pre-stressed piezoelectric layered structure. Key Eng. Mater. 183, 755–760 (2000)
Jin F., Wang Z.K., Kishimoto K.: The propagation behavior of B–G waves in a pre-stressed piezoelectric layered structure. Int. J. Nonlinear Sci. 4, 125–138 (2003)
Qian Z.H., Jin F., Lu T.J., Kishimoto K.: Transverse surface waves in a 6 mm piezoelectric material carrying a prestressed metal layer of finite thickness. Appl. Phys. Lett. 94, 093513 (2009)
Qian Z.H., Jin F., Lu T.J., Kishimoto K., Hirose S.: Effect of initial stress on Love waves in a piezoelectric structure carrying a functionally graded material layer. Ultrasonics 50, 84–90 (2010)
Benveniste Y.: A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media. J. Mech. Phys. Solids 54, 708–734 (2006)
Chen W.Q., Cai J.B., Ye G.R., Wang Y.F.: Exact three-dimensional solutions of laminated orthotropic piezoelectric rectangular plates featuring interlaminar bonding imperfections modeled by a general spring layer. Int. J. Solids Struct. 41, 5247–5263 (2004)
Baltazar A., Wang L., Xie B., Rokhlin S.I.: Inverse ultrasonic determination of imperfect interfaces and bulk properties of a layer between two solids. J. Acoust. Soc. Am. 114, 1424–1434 (2003)
Fan H., Yang J.S., Xu L.M.: Piezoelectric waves near an imperfectly bonded interface between two half-spaces. Appl. Phys. Lett. 88, 203509 (2006)
Chen Z.G., Hu Y.T., Yang J.S.: Shear horizontal piezoelectric waves in a piezoceramic plate imperfectly bonded to two piezoceramic half-spaces. J. Mech. 24, 229–239 (2008)
Nye J.F.: Physical Properties of Crystals. Clarendon Press, Oxford (1985)
Liu J.X., Wang Y.H., Wang B.L.: Propagation of shear horizontal surface waves in a layered piezoelectric half-space with an imperfect interface. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 57, 1875–1879 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, H.M., Zhao, Z.C. Love waves in a two-layered piezoelectric/elastic composite plate with an imperfect interface. Arch Appl Mech 83, 43–51 (2013). https://doi.org/10.1007/s00419-012-0631-7
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00419-012-0631-7