Size-dependent electro-static analysis of smart micro-sandwich panels with functionally graded core

Abstract

This paper investigates the electro-static response of smart micro-sandwich panels with functionally graded core, nano-composite facing, and piezoelectric layers. To consider the size-dependent effect, nonlocal theory is adopted to governing equations and boundary conditions. Three-dimensional approach is implemented that takes into account shear effect of thick core and drastic changes of sandwich panel and free from spurious constraints of equivalent plate theories. Closed-form solution is obtained in systematic step-by-step procedure for smart micro-panels to solve the coupled nonlocal differential equations analytically. The obtained results are compared with finite element results for the case of isotropic thick plate and excellent agreement between result is revealed. A detailed parametric study is conducted to bring out the effect of size-dependent parameter, functionally graded material, length-to-thickness ratio, and aspect ratio on the bending behavior of smart micro-sandwich panels.