Publication

Abstract : The present study investigates the dispersive and damping limitations of shear horizontal waves (SH-waves) in an imperfectly bonded size-dependent layer over layer (LoL) structure. The LoL model consists of a nonlocal flexoelectric layer (NFL) coated by a thin nonlocal viscoelastic layer (NVL) with fractional elastic and viscoelastic properties. Utilizing Eringen’s nonlocal elasticity theory, the governing equations for both NVL and NFL have been established and a complex frequency relation through analytical methods is obtained by applying appropriate boundary conditions at the imperfect interface and free surfaces. The complex frequency relation was then separated into dispersion and attenuation equations to represent the dispersive and damping characteristics of SH-waves in the LoL model. The study presents the classical case as a particular instance along with various other cases obtained by relaxing certain assumptions from the present model. To visualize the impact of key parameters such as viscosity, NVL thickness, permittivity, piezoelectricity, nonlocality parameters of NVL and NFL, imperfectness, fractional-order derivative, and flexoelectricity on dispersive and damping natures, several graphs have been plotted and discussed the distinguished region of existence for dispersion and attenuation curves. This was achieved by deriving the lower and upper bounds for SH-wave velocity. Additionally, the influence of key parameters on the surface response of nonlocal shear stresses and particle displacement within the LoL structure is graphically depicted as a function of depth. The findings reveal that SH-wave characteristics are significantly more diverse in the size-dependent LoL model compared to the classical LoL model. The findings of this study hold significant promise for advancing the design and functionality of various technological applications. By enhancing our understanding of surface wave dynamics in size-dependent structures combining flexoelectric and viscoelastic materials, this research paves the way for innovations in sensor technology, energy harvesting systems, and devices capable of manipulating waves.