Characterization of Polarized Shear Waves in FGPM Composite Structure with Imperfect Boundary: WKB Method

Abstract

Propagation behavior of horizontally polarized shear waves (SH-waves) in a piezo-composite structure is discussed, using the Wentzel–Kramers–Brillouin (WKB) method. The considered model is made by combining the Functionally Graded Piezoelectric Material (FGPM) layer and piezoelectric orthotropic substrate. The linear form spring model is considered to delineate the imperfection of interface. Moreover, the material properties of FGPM layer are varying linearly along the thickness direction. Dispersion relation is obtained for both electrically open and short cases. Numerical example and graphical representation have been provided to illustrate the effect of different parameters on the phase velocity of SH-waves. As a special case, dispersion relation has been obtained when the boundary is perfect. Results are compared for different orthotropic materials to add more specific observations. Finally, the outcome of this study is validated by matching it with classical Love wave result. Observations will be helpful in optimization of Love wave sensors and Surface Acoustic Wave (SAW) devices.

Mechanism and prediction models for interfacial shear separation of claddings excited by Love waves

“…Therefore, the general solutions of the ordinary differential equations (17) and (18) are assumed to bê…”

“…The propagation theory of horizontal shear waves in cladding structures has always been one of the research hotspots of solid mechanics. [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] The displacement solution of a single cladding structure excited by horizontal shear waves was derived by the integral transformation method, and it was found that the displacement magnitude depends on the excitation magnitude. [26][27][28][29][30][31][32] The freely propagating solution of horizontal shear waves in the multilayer cladding structure was studied by the global matrix method and the transfer matrix method.…”

Linear spring model to analyse the effect of interfacial imperfection on the propagation and attenuation of Love-type waves in viscoelastic-FGPM bedded structure

“…Numerous authors revealed the impact of interfacial imperfections on the transmission of waves in PE structures [22][23][24]. Sahu et al [25] adopted the WKB method to demonstrate the impact of interfacial imperfection on phase velocity of shear wave in piezo-composite structure. Maity et al [26] explored the influences of imperfect bonding on velocity and attenuation of Love-type waves in a structure comprising viscoelastic medium and visco-micropolar medium.…”