Effects of surface–interface theory on the circumferential shear horizontal wave in a piezoelectric composite cylinder
Sudarshan Dhua, Arindam Nath, Arpita Maji
Abstract
The current work aims to theoretically investigate the surface–interface effects on the circumferential antiplane surface wave through a thin piezoelectric (PE) layer on the cylindrical structure. The surface–interface elasticity has been formulated in the cylindrical coordinate system for PE material. Along with surface–interface parameters such as elasticity and density, the surface–interface charges are also considered. The PE material properties are considered heterogeneous to make the model realistic. The dispersion equation for the shear wave has been obtained analytically in closed form for electrically short and open cases using Bessel’s function. The effects of essential parameters on the dispersion behavior such as surface–interface parameters, PE coupling parameter radii ratio, heterogeneity parameter, and prestress, have been illustrated through numerical simulation and graphs. Each graph has been displayed with the lowest two modes to facilitate a thorough interpretation of the wave dispersion. Three-dimensional plots have been provided to interpret the effects of surface–interface elasticity on the field variables. It has been found that the size-dependent surface–interface parameters are sensitive to the dispersion relation only when the PE layer is thin. The study findings could help to develop nano/microsized cylindrical transducers and sensors.