Wave Propagation in Graphene Platelet-Reinforced Piezoelectric Sandwich Composite Nanoplates with Nonlocal Strain Gradient Effects

This research develops an analytical approach to explore the wave propagation problem of piezoelectric sandwich nanoplates. The core of the sandwich nanoplates is a nanocomposite layer reinforced with graphene platelets, which is integrated by two piezoelectric layers exposed to electric field. The material properties of nanocomposite layer are obtained by the Halpin-Tsai model and the rule of mixtures. The Euler-Lagrange equations of nanoplates are derived from Hamilton's principle. By using the nonlocal strain gradient theory, the nonlocal governing equations are presented. Finally, numerical studies are conducted to demonstrate the influences of propagation angle, small-scale and external loads on wave frequency. The results reveal that the frequency changes periodically with the propagation angle and can be reduced by increasing voltage, temperature and the thickness of graphene platelets.

Automated summary

This research explores the wave propagation problem of piezoelectric sandwich nanoplates using an analytical approach. The frequency of waves changes periodically with propagation angle and can be reduced by increasing voltage, temperature, and the thickness of graphene platelets. Numerical studies demonstrate the influences of propagation angle, small-scale, and external loads on wave frequency.