Thermal Buckling of Functionally Graded Plates According to a Four-Variable Refined Plate Theory

Abstract

In this article, a four-variable refined plate theory is presented for buckling analysis of functionally graded plates. The theory, which has strong similarity with classical plate theory in many aspects, accounts for a quadratic variation of the transverse shear strains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. A power law distribution is used to describe the variation of volume fraction of material compositions. Equilibrium and stability equations are derived based on the present theory. The non-linear governing equations are solved for plates subjected to simply supported boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. The influences of many plate parameters on buckling temperature difference will be investigated. It is noticed that the present refined plate theory can predict accurately the critical temperatures of simply supported functionally graded plates.

Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

“…When the substantial deviation of the elastic properties between the sandwich layers (core and face sheet) exist, the sandwich structural component may encounter with delamination of the face sheet and the core layer, especially under impact loading [1]. Further, to reduce the unexpected delamination, a new concept called functionally graded material (FGM) is adopted in the design of the sandwich structures [2][3][4][5]. In FGM, the composition of the material varies through the dimensions of the structure i.e., along the length/breadth or through the thickness.…”

Thermo-elastic analysis of functionally graded circular plates resting on a gradient hybrid foundation

“…Kiani and Eslami [8] considered the buckling and post-buckling behavior of sandwich plates with FGM face sheets under uniform temperature rise loading and resting on a Pasternak type elastic foundation based on the first-order shear deformation plate theory by employing the single mode approach and Galerkin technique. Bouidjra et al [9] presented the buckling behavior of FG rectangular plate under the various thermal loads based on a four-variable refined plate theory and noticed that this theory can predict accurately the critical temperatures of the plate relative to other plate theories. Khorshidvand et al [10] studied the thermal buckling of FG circular plates integrated with piezoelectric layers under the uniform, linear and nonlinear temperature variation and constant voltage.…”

A refined higher order shear and normal deformation theory for E-, P-, and S-FGM plates on Pasternak elastic foundation

“…Thus, it is the most efficient theory. The 4-variable plate theory was first developed for isotropic plates [28,29], and recently extended to FGM plates [30,31], FGM sandwich plates [32], and nanoplates [33,34].…”