Finite element framework for static analysis of temperature dependent IHSDT based functionally graded CNT reinforced plates

Abstract

In this study, a finite element model is presented to investigate the effect of temperature dependent material properties of single-walled carbon nanotube (SWCNT) and PMPV on the static response of functionally graded carbon-nano tube reinforced (FG-CNTR) plate with four different boundary conditions. The governing equations are developed on the basis of inverse hyperbolic shear deformation theory (IHSDT) and Hamilton’s principle. The effective material properties are evaluated using the extended rule of mixture. The pattern of CNTs distribution in the plate is assumed to be uniformly distributed (UD) and functionally graded (FG-V, FG-Λ, FG-O, and FG-X) along the thickness direction. The governing equations are solved using a C0 isoparametric finite element method (FEM) and discretized with an isoparametric eight noded element with seven degrees of freedom per node. The authors have performed various parametric studies to observe the effect of plate span to thickness ratio, volume fraction, CNTs distribution on the static response of FG-CNTR plate subjected to sinusoidal (SSL) and uniformly distributed (UDL) loading conditions. The numerical solutions for the deflection and stresses are obtained and compared with known results in the literature. The study concludes that IHSDT accurately predicts the behavior of the FG-CNTR plate, also temperature dependent material properties have significantly influenced the static behavior of the FG-CNTR plate.