Farzad Ebrahimi - Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran
Mahsa karimiasl - Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

This paper develops a nonlocal plate model for buckling analysis of piezoelectric nanoplates. For more authentic analysis of piezoelectric nanoplate, the proposed theory contains two scale parameters related to the nonlocal and flexoelectric effects. In order to present a model, the material properties of the system are assumed viscoelastic and the Kelvin–Voigt model is applied. Governing equations of a nonlocal smart nanoplate on viscoelastic substrate are derived via Hamilton’s principle. Galerkin method is implemented to solve the governing equations. Effects of different factors such as aspect ratio, nonlocal parameter, flexoelectricity, applied voltage and Winkler-Pasternak parameters on buckling are studied

Piezoelectric nanoplate; flexoelectricity; buckling; Nonlocal theory; viscoelastic