A full numerical study of the strain based functionally graded rectangular plate finite element using the FSDT

Abstract

This paper presents a full numerical analysis using the First order Shear Deformation Theory to evaluate the bending, free vibration, and buckling behaviors of a new Strain Based Functionally Graded Rectangular Plate finite element, denoted as SBFGRP24. Each node of this element has six degrees of freedom, acquired through the superposition of a membrane and a bending element. The notion of the neutral plane has been applied to prevent the coupling of membrane and bending. The plate consists of alumina and aluminum, with characteristics that vary continuously throughout its thickness. It experiences transversal loads that are either uniformly distributed or sinusoidal. To evaluate the impact of power law index, thickness, boundary constraints, side-to-thickness ratio, and aspect ratio on the FG plates behavior, a parametric study has been done. The results obtained show excellent alignment and swift convergence when compared to those obtained from the high-order shear deformation theory and analytical solutions found in the literature.