Three-Dimensional Buckling Analysis of Functionally Graded Saturated Porous Rectangular Plates under Combined Loading Conditions

Abstract

The present work studies the buckling behavior of functionally graded (FG) porous rectangular plates subjected to different loading conditions. Three different porosity distributions are assumed throughout the thickness, namely, a nonlinear symmetric, a nonlinear asymmetric and a uniform distribution. A novel approach is proposed here based on a combination of the generalized differential quadrature (GDQ) method and finite elements (FEs), labeled here as the FE-GDQ method, while assuming a Biot’s constitutive law in lieu of the classical elasticity relations. A parametric study is performed systematically to study the sensitivity of the buckling response of porous structures, to different input parameters, such as the aspect ratio, porosity and Skempton coefficients, along with different boundary conditions (BCs) and porosity distributions, with promising and useful conclusions for design purposes of many engineering structural porous members.

Numerical Study on the Buckling Behavior of FG Porous Spherical Caps Reinforced by Graphene Platelets

“…At the same time, Figure 2 reports the five GPL distribution profiles throughout the spherical cap, thickness-wise, which are defined next [ 25 , 26 ]. More specifically, the mechanical properties refer to the mass density , Young’s modulus and shear modulus of porous nanocomposite spherical caps [ 54 , 55 , 56 , 57 , 58 ].…”

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

“…Burada 𝜁 terimi yük parametresi olup 𝜁 = 0 olması tek eksenli basınç durumuna ve 𝜁 > 0 olması iki eksenli basınç durumuna karşılık gelmektedir. Denklem (11), Denklem (10)'da yerine yazıldığında poroz ortotropik tabakalı kompozit plağın kayma deformasyon teorisi çerçevesindeki burkulma yükü aşağıdaki gibi ifade edilmektedir:…”

“…Önemli bir mühendislik uygulaması olan poroz yapı elemanlarının (plak, kabuk vs.) stabilite davranışlarına olan ilgi giderek artmaktadır. Yapılan birçok çalışmada poroz malzeme özelliklerinin yapı elemanının kalınlığı boyunca özel bir fonksiyona bağlı olarak değiştiği varsayılmaktadır ve porozitenin yapı elamanının burkulma davranışına etkileri araştırılmaktadır [2][3][4][5][6][7][8][9][10][11]. Klasik plak teorisinde enine kayma deformasyonları ihmal edilerek problemin çözümünde kolaylık sağlanmaktadır.…”

Dynamic Modeling and Analysis of Boundary Effects in Vibration Modes of Rectangular Plates with Periodic Boundary Constraints Based on the Variational Principle of Mixed Variables

“…Besides the dynamical modeling and dynamical properties of beam structures with complex boundary conditions [19], the dynamical modeling and dynamical properties of plate structures [20][21][22][23][24], shell structures [25][26][27][28][29][30][31], and other types of structures [32][33][34] with complex boundary conditions have also been investigated [35][36][37][38][39]. For example, Xue et al [20] developed and solved a dynamics model for medium-thick composite laminates with arbitrary boundary conditions based on Mindlin's theory, Hamilton's principle, a modified Fourier series method, and the spring technique, with parametric studies on the effects of several key parameters, such as thickness-to-width ratio, number of plies, and lay-up angle between two plies.…”