Longitudinal wave propagation in a piezoelectric nanoplate considering surface effects and nonlocal elasticity theory

• Nonlocal continuum theory should be employed to investigate piezoelectric nanoplate.
• Dispersion of longitudinal wave can be enhanced by increasing scale coefficients.
• External electric voltage has no effect on the characteristics of longitudinal wave.

The propagation characteristics of the longitudinal wave in a piezoelectric nanoplate were investigated in this study. The nonlocal elasticity theory was used and the surface effects were taken into account. In addition, the group velocity and phase velocity were derived and investigated, respectively. The dispersion relation was analyzed with different scale coefficients, wavenumbers, and voltages. The results showed that the dispersion degree can be strengthened by increasing the wavenumber and scale coefficient.