Non-Linear Stability of the Step-Variable In-Plane Functionally Graded Plates Subjected to Linear Approaches of the Edges

Abstract

The analysis of gradations through the thickness in structures are commonly used. It usually refers to the problems of the stability of functionally graded (FG) structures. In this work, rectangular in-plane FG plates built of a material gradation along the transversal direction were assumed. Five-strip FG plates with four cases that were based on the boundary conditions on longitudinal edges and simply supported on transverse loaded edges were considered. The non-linear stability problems of the FG plates that were subjected to linear approaches of the transverse edges for several types of loads were solved. The estimations were executed with two methods: an analytical-numerical way based on Koiter’s theory and finite element method (FEM).

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

“…Functionally graded (FG) plates are structural components made of materials with a structure and qualities gradually change as they get thicker [1]. These plates can experience a variety of assumed loads and can be formed as rectangular in-plane FG plates with material gradation along the transverse direction [2]. Because of their similar behavior to homogeneous plates despite their compositional variation, FG plates can be evaluated with current tools without the requirement for new analytical methods [1].…”