Thermo-electrical buckling response of actuated functionally graded piezoelectric nanoscale plates

Abstract

In this work, the analytical investigation of thermo-electrical buckling of a functionally graded piezoelectric nanoscale plate is obtained via a refined hyperbolic higher-order shear deformation theory. Eringen's nonlocal theory has been proposed to capture the small size influence. The nanoscale plate material properties vary continuously across the thickness based on a power law function. The softening nonlocal model is exposed to external electric voltage and three different thermal environments (uniform, linear, nonlinear temperature changes). The governing equations are derived using the total potential energy principle, and Navier's procedure has been employed to determine the exact solution of the current problem. The critical buckling temperature of nanoscale plate exposed to various thermal environments loading and external electric voltages are obtained. The numerical results of thermo-electrical buckling are determined for several nonlocal parameters, thermal environments, geometric parameters, gradient indexes and external electrical voltages.