Influence of the Imperfect Interface on Love-Type Mechanical Wave in a FGPM Layer

Document Type: Research Paper

Authors

1 Madanapalle Institute of Technology and Science, Madanapalle, Andhra Pradesh, India

2 Madanapalle Institute of Technology and Science, Madanapalle, Andhra Pradesh, India--- Indian Institute of Technology (ISM) Dhanbad, Jharkhand, India

3 Indian Institute of Technology (ISM) Dhanbad, Jharkhand, India

Abstract

In this study, we consider the propagation of the Love-type wave in piezoelectric gradient covering layer on an elastic half-space having an imperfect interface between them. Dispersion relation has been obtained in the form of determinant for both electrically open and short cases. The effects of different material gradient coefficients of functionally graded piezoelectric material (FGPM) and imperfect boundary on the phase velocity of Love-type waves are discussed. Also, the influence of mechanically and electrically imperfect interface on the surface wave phase velocity is obtained and shown graphically. The dispersion curves are plotted and the effects of material properties of both FGPM and orthotropic material are studied. Moreover, dispersion relation of the considered microstructure depends substantially on the material gradient coefficients and width of the guiding plate. Numerical results are highlighted graphically and are validated with existing literature. The present study is the prior attempt to show the interfacial imperfection influence with the considered structure on wave phase velocity. The outcomes are widely applicable and useful for the development and characterization of Love-type mechanical waves in FGPM-layered media, SAW devices and other piezoelectric devices.

Keywords

[1] Love A.E.H., 1911, Some Problems of Geodynamics, Cambridge University Press.
[2] Du J., Jin X., Wang J., Xian K., 2007, Love wave propagation in functionally graded piezoelectric material layer, Ultrasonics 46: 13-22.
[3] Qian Z., Jin F., Wang Z., Kishimoto K., 2007, Transverse surface waves on a piezoelectric material carrying a functionally graded layer of finite thickness, International Journal of Engineering Science 45: 455-466.
[4] Eskandari M., Shodja H.M., 2008, Love waves propagation in functionally graded piezoelectric materials with quadratic variation, Journal of Sound and Vibration 313: 195-204.
[5] Cao X.S., Jin F., Jeon I., Lu T.J., 2009, Propagation of love waves in a functionally graded piezoelectric material (FGPM) layered composite system, International Journal of Solids and Structures 46: 4123-4132.
[6] Singhal A., Sahu S.A., Chaudhary S., 2018, Approximation of surface wave frequency in Piezo-composite structure, Composite Part B: Engineering 144: 19-28.
[7] Singhal A., Sahu S.A., Chaudhary S., 2018, Liouville green approximation: An analytical approach to study the elastic wave vibrations in composite structure of piezo material, Composite Structure 184: 714-727.
[8] Fan H., Yang J.S., Xu L.M., 2006, Antiplane piezoelectric surface wave over a ceramic half-space with an imperfectly bonded layer, Ferroelectric and Frequency Control 53(9): 1695-1698.
[9] Li L., Wei P.J., Guo X., 2016, Rayleigh wave on the half-space with a gradient piezoelectric layer and imperfect interface, Applied Mathematical Modelling 40(19): 8326-8337.
[10] Chaudhary S., Sahu S.A., Singhal A., 2017, Analytical model for Rayleigh wave propagation in piezoelectric layer overlaid orthotropic substratum, Acta Mechanica 228: 529-547.
[11] Wang Z.K., Shang F.L., 1997, Cylindrical buckling of piezoelectric laminated plates, Acta Mechanica Solida Sinica 18: 101-108.
[12] Du J., Jin X., Wang J., Xian K., 2007, Love wave propagation in functionally graded piezoelectric material layer, Ultrasonics 46(1): 13-22.
[13] Saroj P.K., Sahu S.A., Chaudhary S., Chattopadhyay A., 2015, Love-type waves in functionally graded piezoelectric material (FGPM) sandwiched between initially stressed layer and elastic substrate, Waves in Random and Complex Media 25(4): 608-627.
[14] Cao X., Jin F., Jeon I., Lu T.J., 2009, Propagation of Love waves in a functionally graded piezoelectric material (FGPM) layered composite system, International Journal of Solids and Structures 46(22-23): 4123-4132.