Stochastic Finite Element Buckling Analysis of Laminated Plates With Circular Cutout Under Uniaxial Compression

Abstract

A generalized stochastic buckling analysis of laminated composite plates, with and without centrally located circular cutouts having random material properties, is presented under uniaxial compressive loading. In this analysis, the layerwise plate model is used to solve both prebuckling and buckling problems. The stochastic analysis is done based on mean centered first-order perturbation technique. The mean buckling strength of composite plates is validated with results available in the literature. It has been observed that the present analysis can predict buckling load accurately even for plates with large cutouts. Micromechanics based approach is used to study the effect of variation in microlevel constituents on the effective macrolevel properties like elastic moduli. Consequently, the effect of uncertainty in these material properties on the buckling strength of the laminated plates is studied. Parametric studies are carried out to see the effect of hole size, layups, and boundary conditions on the mean and variance of plate buckling strength.

FEM model for stochastic mechanical and thermal postbuckling response of functionally graded material plates applied to panels with circular and square holes having material randomness

“…Yang et al [23] evaluated the second-order statistics of elastic buckling of FGM plates with randomness in the material properties using stochastic FEM via first-order shear deformation theory in conjunction with FOPT. Onkar et al [24] investigated the generalized buckling of laminated composite circular cut-out plate with random material properties using classical plate theory (CLT) combined with FOPT. Singh et al [25] investigated the effect of random system properties on the post-buckling of laminated composite plates supported with elastic foundation using HSDT based C 0 nonlinear FEM combined with direct iterative procedure in conjunction with FOPT.…”

Recent development in modeling and analysis of functionally graded materials and structures

“…Najafizadeh and Eslami [151] used classical plate theory (CLPT) to investigate the buckling behavior of clamped and simply supported circular FGM plate. Onkar et al [152,153] presented the generalized buckling of laminated composite plate with random material properties using classical plate theory (CLPT) combined with First order shear deformation theory (FSDT). Samsamshariat et al [154] studied buckling behavior of FGM plates under uniaxial compression and biaxial compression and tension, using CLPT and HSDT.…”

Surrogate based design optimisation of composite aerofoil cross-section for helicopter vibration reduction

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