The aim of this paper is to study the electro-mechanical coupling responses functionally graded (FG) piezoelectric cantilever nanobeam under concentrated load, and material properties follow an exponential distribution in thickness direction. constitutive equations are derived from electric Gibbs free energy density function. governing boundary conditions Euler–Bernoulli FG beam can be obtained...

Abstract This paper presents an analytical solution for the free vibration behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) doubly curved shallow shells with integrated piezoelectric layers. Here, linear distribution electric potential across thickness layer and five different types nanotube (CNT) distributions through direction are considered. Based on four-varia...

This paper presents a review of the principal developments in functionally graded materials (FGMs) with an emphasis on the recent work published since 2000. Diverse areas relevant to various aspects of theory and applications of FGM are reflected in this paper. They include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing an...