Buckling Response of Functionally Graded Porous Plates Due to a Quasi-3D Refined Theory

Abstract

A quasi-3D refined theory is used to investigate the buckling response of functionally graded (FG) porous plates. The present theory takes into consideration the effect of thickness stretching. Three models of FG porous plates are presented: an isotropic FG porous plate, FG skins with a homogenous core, and an FG core with homogenous skins. The FG porous material properties vary along with the thickness of the FG layer based on modified polynomial law. By using the principle of total potential energy, the equilibrium equations are obtained. The buckling response is determined for simply supported FG porous plates. Analytical investigations are verified to present the accuracy of the current quasi-3D refined theory in predicting the buckling response of FG porous plates. The effect of thickness stretching and several parameters such as porosity coefficients, mechanical loadings, geometric parameters, gradient indexes, and layer thickness ratios are discussed. It is observed that the current theory shows more accurate results for the buckling response of FG plates compared with other shear deformation theories.

A Four-Variable Shear Deformation Theory for the Static Analysis of FG Sandwich Plates with Different Porosity Models

“…The static behavior of porous plates was studied alongside a functional gradient to characterize the impact of the shear correction factor related to FSDT [45]. The buckling characteristic of FG porous plates adopting a quasi-3D refined theory was examined by Zenkour and Aljadani [46]. The consequence of thickness stretching and the three types of FG porous plates were considered in this investigation.…”

Buckling Analysis of Porous Orthotropic Laminated Plates Within Higher-Order Shear Deformation Theory

“…Bu çalışmaların birçoğu yüksek mertebeden kayma deformasyon teorilerini kapsamaktadır [12][13][14][15][16][17][18][19]. Bu gelişmelerle birlikte, poroz yapı elemanlarının kayma deformasyon teorisi kapsamındaki burkulma analizi çalışmaları artış göstermiştir [20][21][22][23][24][25][26][27].…”

Critical buckling load analysis of porous orthotropic two-layered cylindrical panels based on trigonometric shear deformation theory

“…They modeled the porous FG plates using the power law rule containing four porosity patterns. Zenkour and Aljadani [34] investigated the buckling of FG porous plates such as an isotropic FG porous plate, FG skins with homogeneous core, and FG core with homogeneous skins. They graded the porous material properties via polynomial law rule with porosity effects.…”