Linear spring model to analyse the effect of interfacial imperfection on the propagation and attenuation of Love-type waves in viscoelastic-FGPM bedded structure
Restricted accessResearch articleFirst published online October, 2023
Linear spring model to analyse the effect of interfacial imperfection on the propagation and attenuation of Love-type waves in viscoelastic-FGPM bedded structure
This article is dedicated to analyse the propagation and attenuation behaviour of Love-type waves in an imperfectly bonded viscoelastic-functionally graded piezoelectric material (FGPM) layered structure. The linear spring model is adopted to portray the interfacial imperfection. The wave solutions in the FGPM substrate are approximated using Wentzel–Kramers–Brillouin (WKB) approximation technique. Dispersion relation is obtained and found to be complex in nature, when traction-free and electrically short conditions are taken into account. Numerical example and computations have been presented to analyse the dispersion equation. The pronounced effects of different parameters such as gradient coefficients, layer’s width, interfacial imperfection, and dissipation factor on the phase velocity, as well as attenuation coefficient of the Love-type wave have been illustrated graphically. Obtained results may be used to achieve better performance of surface acoustic wave (SAW) devices and Love-wave sensors.
BoLXiaoCHualinC, et al. Surface acoustic wave devices for sensor applications. J Semicond2016; 37(2): 021001.
3.
QianZHJinFLuT, et al. Transverse surface waves in functionally graded piezoelectric materials with exponential variation. Smart Mater Struct2008; 17(6): 065005.
4.
JakobyBVellekoopMJ.Viscosity sensing using a Love-wave device. Sens Actuators A: Phys1998; 68(1–3): 275–281.
5.
LiuJWangZK.The propagation behavior of Love waves in a functionally graded layered piezoelectric structure. Smart Mater Struct2005; 14(1): 137–146.
6.
EskandariMShodjaHM.Love waves propagation in functionally graded piezoelectric materials with quadratic variation. J Sound Vib2008; 313: 195–204.
7.
LiuJCaoXSWangZK.Love waves in a smart functionally graded piezoelectric composite structure. Acta Mech2009; 208: 63–80.
8.
DuJXianKWangJ, et al. Love wave propagation in piezoelectric layered structure with dissipation. Ultrasonics2009; 49: 281–286.
9.
CaoXJinFJeonI, et al. Propagation of Love waves in a functionally graded piezoelectric material (FGPM) layered composite system. Int J Solids Struct2009; 46: 4123–4132.
10.
CuiJDuJKMaTF, et al. SH-SAW propagation in a piezoelectric structure with viscoelastic layer. In: Symposium on piezoelectricity, acoustic waves, and device applications (SPAWDA), Shanghai, China, 23–25 November 2012, pp. 93–96. New York: IEEE.
11.
WangYCaoXJingT, et al. Dynamic characteristics and stability of axially moving viscoelastic plate with piezoelectric layer. J Low Freq Noise Vibration Active Control2014; 33: 341–355.
12.
KunduSAlamPGuptaS, et al. Impacts on the propagation of SH-waves in a heterogeneous viscoelastic layer sandwiched between an anisotropic porous layer and an initially stressed isotropic half space. J Mechanics2017; 33: 13–22.
13.
RenDShenXLiC, et al. The fractional Kelvin-Voigt model for Rayleigh surface waves in viscoelastic FGM infinite half space. Mech Research Commun2018; 87: 53–58.
14.
GuoXWeiPLiL, et al. Effects of functionally graded interlayers on dispersion relations of shear horizontal waves in layered piezoelectric/piezomagnetic cylinders. Appl Math Model2018; 55: 569–582.
15.
KiełczyńskiP.Direct Sturm–Liouville problem for surface Love waves propagating in layered viscoelastic waveguides. Appl Math Model2018; 53: 419–432.
16.
SinghPSinghAKChattopadhyayA, et al. Mathematical study on the reflection and refraction phenomena of three-dimensional plane waves in a structure with floating frozen layer. Appl Math Comput2020; 386: 125488.
17.
OthmaniCZhangH.Lamb wave propagation in anisotropic multilayered piezoelectric laminates made of PVDF-θ° with initial stresses. Compos Struct2020; 240: 112085.
18.
OthmaniCLabiadhLLüC, et al. Influence of a piezoelectric ZnO intermediate layer on Rayleigh waves propagating in Sc 43% AlN 57%/ZnO/diamond hetero-structures subjected to uniaxial stress. Eur Phys J Plus2020; 135: 1–30.
19.
MannaSKumarA.Dynamic behavior of multi-layer heterogeneous composite magneto-elastic structures for surface wave scattering. Appl Math Comput2021; 397: 125922.
20.
NieGLiuJFangX, et al. Shear horizontal (SH) waves propagating in piezoelectric–piezomagnetic bilayer system with an imperfect interface. Acta Mech2012; 223: 1999–2009.
21.
WangHMZhaoZC.Love waves in a two-layered piezoelectric/elastic composite plate with an imperfect interface. Archive Appl Mech2013; 83: 43–51.
22.
GuoXWeiPLiL, et al. Influences of mechanically and dielectrically imperfect interfaces on the reflection and transmission waves between two piezoelectric half spaces. Int J Solids Struct2015; 63: 184–205.
23.
LiLWeiPJGuoX.Rayleigh wave on the half-space with a gradient piezoelectric layer and imperfect interface. Appl Math Model2016; 40: 8326–8337.
24.
GuoXWeiPLanM, et al. Dispersion relations of elastic waves in one-dimensional piezoelectric/piezomagnetic phononic crystal with functionally graded interlayers. Ultrasonics2016; 70: 158–171.
25.
SahuSABaroiJChattopadhyayA, et al. Characterization of polarized shear waves in FGPM composite structure with imperfect boundary: WKB method. Int J Appl Mech2019; 11: 1950083.
26.
MaityMKunduSKumharR, et al. Influence of mechanical imperfection on the transference of love-type waves in viscoelastic substrate overloaded by visco-micropolar composite structure. Eng Comput2020; 37: 3407–3429.
27.
El, BaroudiALe, PommellecJY. Viscoelastic fluid effect on the surface wave propagation. Sens Actuators A: Phys2019; 291: 188–195.
28.
RokhlinSIWangYJ.Analysis of boundary conditions for elastic wave interaction with an interface between two solids. J Acoust Soc Am1991; 89: 503–515.
29.
EwingWMJardetzkyWSPressF.Elastic waves in layered media. New York: McGraw-Hill, 1957.
