Surface wave propagation in functionally graded piezoelectric material: An analytical solution

Abstract

Wentzel–Kramers–Brillouin approximation technique serves as a powerful tool to find the particle displacements due to surface wave propagation in bedded structure with distinct material properties. This study is carried out to investigate the transference of Love-type waves in functionally graded piezoelectric material layer bonded between viscous liquid and pre-stressed piezoelectric half-space. Following the elastic wave theory, the mathematical model is established. Wentzel–Kramers–Brillouin method is applied to obtain the theoretical derivations in functionally graded piezoelectric material stratum where variation in material gradients is taken exponentially. Separation of variables method is employed to obtain the displacement components in viscous liquid and piezoelectric medium. Dispersion equations for considered surface wave are obtained in both electrically open and short cases. Profound effect of material gradient coefficient on phase velocity has been remarkably established. Some numerical examples are carried out and represented through graphs. The considered model facilitates a theoretical foundation and practical application for the development of surface acoustic wave devices.

Lamb wave imaging with actuator network for damage quantification in aluminum plate structures

“…In this paper, we present a Lamb wave wavefield imaging method that can show details of structural damage with great complexity through the combination with adopting actuator network. Piezoelectric transducers (PZTs) have been widely studied and proved stable and effective for Lamb wave generation (Giurgiutiu, 2008; Sahu et al, 2018; Singh et al, 2018; Singhal et al, 2018, 2019a). Thus, a network of PZTs are used in this work to actuate Lamb waves in turn while the waves are measured by the SLDV to acquire time-space wavefield dataset.…”

On secular equation of SH waves propagating in pre-stressed and rotating piezo-composite structure with imperfect interface

“…Snell’s law for reflection/refraction and transmission of waves and antisymmetric Lamb waves through the layered structure are unfolded (Kuznetsova et al, 2011; Shekhar and Parvez, 2016), respectively. Using wave theory and theory of elastodynamics, some research articles are available to study different types of wave propagation phenomenon through piezoelectric material such as Lamb waves in piezo-composite material (Ezzin et al, 2017), self-dependent nonlinear vibration following surface/interface theory (Fang and Zhu, 2017), shear waves in one-dimensional periodic piezoelectric material (Ghazaryan and Piliposyan, 2011), shear Bloch waves in periodic piezoelectric waveguides (Piliposyan et al, 2014), Love waves in electrically shorted piezoelectric nanofilm (Zhang et al, 2016), anti-plane transverse wave propagation, Rayleigh wave transmission, and nonlinear harmonic vibration through piezoelectric materials (Saadatnia and Esmailzadeh, 2017; Sahu et al, 2017; Wang et al, 2008). Theories covering SAW and bulk acoustic waves (BAWs) which are related to ultrasonic study are applicable in the manufacturing of transducers, measuring the rate of gas flow and thin layered structure (Chaudhary et al, 2017; Harvey et al, 1992; Joshi et al, 2009; Kuznetsova et al, 2001, 2015).…”

Approximation of surface wave velocity in smart composite structure using Wentzel–Kramers–Brillouin method

“…Singhal et al (2018a), Ezzin et al (2017) and Liu and Tani (1991, 1992) have carried out some significant work on wave transference in FGPM and FGM. Singhal et al (2018b) and Sahu et al (2017) have successfully applied the WKB method for modelling of wave propagation in smart material structures. Wang and Pan (2010) discussed the two-dimensional Eshelby’s problem for two imperfectly bonded piezoelectric halves-planes.…”