The propagation behavior of Love waves in a functionally graded layered piezoelectric structure

Abstract

The propagation behavior of Love waves in a functionally graded layered piezoelectric structure is investigated in this paper. It involves a thin piezoelectric layer, in which the parameters vary linearly in the thickness direction, bonded perfectly to an elastic substrate. By the WKB method, the phase velocity equations are obtained for both electrical open and short cases on the free surface, respectively. The results show that the circular frequency and cut-off frequency increase as the elastic modulus and dielectric constant vary linearly respectively; meanwhile, the number of vibration modes decreases, and the coupled electromechanical factor increases with the decrease of the dielectric constant. Undoubtedly, this is useful for the design of surface acoustic wave (SAW) devices.

Dispersion of Love wave in an isotropic layer sandwiched between orthotropic and prestressed inhomogeneous half-spaces

“…Du et al (2008) studied the effect of initial stress on the propagation of piezoelectric layered structures loaded with viscous liquid. Liu and Wang (2005) studied Love waves in functionally graded layered piezoelectric structure. Chakraborty and Dey (1982) discussed the propagation of Love waves in water saturated soil underlain by heterogeneous elastic medium.…”

Love Wave Propagation in Electro-Magneto Non-Homogeneous Elastic Media

“…Pan [16] presented the exact solution for simply supported and multilayered magneto-electro-elastic plates. The behavior of Love waves in a piezoelectric structure was discussed by Liu [17]. Recently, Kakar [18,19] has studied the propagation of Love waves in a non-homogeneous elastic media and propagation of Love waves in a non-homogeneous orthotropic layer under compression 'P' overlying semiinfinite non-homogeneous medium.…”

Wave propagation in functionally graded piezoelectric spherically curved plates

“…Chakraborty et al [12] used spectral element method to characterize the wave propagation in FGPM plates by the thin-layer model, and modeled an ultrasonic transducer composed of FGPM. Li et al [13] and Liu and Wang [14] studied the propagation of Love waves in FGPM structures by the WKB method. Based on higher-order shear deformation theory, Mahapatra et al [5] used a spectral element method investigating the Lamb wave characteristics in FGPM plates, and pointed out that there was a reduced dispersion of the Lamb wave modes in FGPM plates.…”

“…In these models, the materials should be divided into many elements. In the third approach, the FGPM is taken as a continuous medium, and approximate or asymptotic methods, such as the WKB method [13,14] or polynomial series expansion method [8], can be used to solve the governing differential equations with variable coefficients.…”