The Effect of Micro-Inertia and Flexoelectricity on Love Wave Propagation in Layered Piezoelectric Structures

Abstract

The non-classical linear governing equations of strain gradient piezoelectricity with micro-inertia effect are used to investigate Love wave propagation in a layered piezoelectric structure. The influence of flexoelectricity and micro-inertia effect on the phase wave velocity in a thin homogeneous flexoelectric layer deposited on a piezoelectric substrate is investigated. The dispersion relation for Love waves is obtained. The phase velocity is numerically calculated and graphically illustrated for the electric open-circuit and short-circuit conditions and for distinct material properties of the layer and substrate. The influence of direct flexoelectricity, micro-inertia effect, as well as the layer thickness on Love wave propagation is studied individually. It is found that flexoelectricity increases the Love-wave phase velocity, while the micro-inertia effect reduces its value. These effects become more significant for Love waves with shorter wavelengths and small guiding layer thicknesses.

An approximate analytical solution for a dynamical simple shear deformation problem of an infinite strip including flexoelectric and micro‐inertial effects by Laplace transform

“…and the electric potential is the same as used previously Equation (). The importance of taking in consideration the effects of microinertia on the dynamical behavior of materials was highlighted by several authors (see [45, 62, 63], for example). The following figures present a comparison between the state variables for three values of the ratio $$h/\mathcal{l}_0$$…”

“…The electric boundary conditions are categorized into electric potential and electric surface charge density. Most researchers [43][44][45] classified the electric potential into two cases: open circuit, where there is no charge on the vacuum enclosing the domain, and short-circuit, where there is a given value for the potential in the vacuum surrounding the body. Here we choose a linear function for the electric potential in the vacuum (short-circuit) and neglect electric surface charge density at the boundary.…”