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.
Highlights
In the last decades, an increased interest in porous materials has arisen among scientists and designers regarding engineering materials and structures due to their remarkable mechanical properties, electrical conductivity and high permeability
In the further work by Chen et al [5], the elastic buckling behavior of shear deformable functionally graded (FG) porous beams was studied systematically to check for the effect of different porosity distributions on the mechanical response
The results demonstrate that the maximum and minimum values of the buckling load are associated with the symmetric (PNSD) and uniform (PUD) porosity distributions respectively, due to the highest and lowest stiffness reached in the structure
Summary
An increased interest in porous materials has arisen among scientists and designers regarding engineering materials and structures due to their remarkable mechanical properties, electrical conductivity and high permeability. Based on the current literature on the buckling of FG porous structures, most studies rely on the use of simple elastic Hooke’s laws, with limited attention to the effect of pore fluid pressures stemming from poroelastic constitutive Biot’s laws In such a context, Jabbari et al [23,24] proposed a closed-form solution for the axial buckling of FG-saturated, porous, rectangular, supported Kirchhoff plates, immersed in a piezoelectric [23]. Based on the above-mentioned lacking aspects of the problem, in this work, the buckling behavior is investigated for FG-saturated porous rectangular plates subjected to a double normal and shear loads To this end, 3D elasticity theory and Biot’s constitutive law are applied, while proposing a mixed FE-DQM based on a Rayleigh–Ritz energy formulation as an efficient computational tool to solve the problem.
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