Thermal postbuckling behavior of CNT-reinforced composite sandwich plate models resting on elastic foundations with tangentially restrained edges and temperature-dependent properties

Abstract

Buckling and postbuckling behaviors of sandwich plates reinforced by single-walled carbon nanotube (CNT), rested on elastic foundations and subjected to uniform temperature rise, are investigated in this article. CNT is embedded into matrix phase through uniform or functionally graded distributions. The properties of constituent materials are assumed to be temperature-dependent, and effective properties of nanocomposite are determined by extended rule of mixture. Two models of sandwich plates with face sheets and core layer reinforced by CNTs are presented. Formulations are based on the first-order shear deformation theory taking geometrical nonlinearity, initial geometrical imperfection, plate-foundation interaction, and elasticity of tangential edge constraints into consideration. Analytical solutions of deflection and stress function are assumed, and Galerkin method is applied to derive nonlinear temperature–deflection relation from which buckling temperatures and thermal postbuckling paths are obtained through an iteration algorithm. Numerical examples show the effects of CNT volume fraction, distribution patterns, in-plane edge constraint, elastic foundations, geometrical ratios, initial imperfection, and temperature dependence of properties on thermal postbuckling behavior of nanocomposite sandwich plates. The most important finding is that sandwich plate constructed from CNT-poor nanocomposite core layer and thin homogeneous face sheets with partially movable edges bring the best capacities of thermal buckling resistance and postbuckling load carrying.

Thermal postbuckling analysis of FG-CNTRC doubly curved panels with elastically restrained edges using Reddy's higher order shear deformation theory

“…In addition, in the Eqs. (18), A i (i = 1 ÷ 3) and B j (j = 1, 2) are coefficients to be determined. Introduction of Eqs.…”

“…Thermal buckling and postbuckling behaviors of thin and moderately thick FG-CNTRC plates have been treated in works [16,17] using an analytical method. Long and Tung [18,19] investigated thermal postbuckling of two sandwich plate models comprising isotropic and FG-CNTRC layers subjected to uniform temperature rise without and with preexisting axial compression. In these works, the FSDT, Galerkin method and an iteration procedure are utilized.…”

Buckling and postbuckling of CNT-reinforced composite sandwich cylindrical panels subjected to axial compression in thermal environments

“…In aforementioned works [29][30][31][32][33], sandwich plates are constructed from isotropic homogeneous core layer and CNTRC face sheets. Beside this model of CNTRC sandwich plate, another model of sandwich plate with CNTRC core layer and homogeneous face sheets has been suggested in recent works of Long and Tung [34,35]. These works indicated that sandwich plate model with CNTRC core layer and thin homogeneous face sheets can give high efficiency of buckling resistance and postbuckling load carrying capabilities.…”

“…The volume fractions of CNTs in face sheets corresponding to uniform distribution (UD) and four different types of functionally graded (FG) distributions named as FG-X,, FG-V and FG-O are given in the works[34,35] and omitted here for the sake of brevity.…”

Buckling of shear deformable FG‐CNTRC cylindrical shells and toroidal shell segments under mechanical loads in thermal environments

“…Post‐buckling behaviors of FG‐CNTRC rectangular plates under compressive loads have been considered in works [18, 19] accounting for elasticity of boundary edges. Nonlinear stability of sandwich plates comprising of FG‐CNTRC layers and subjected to mechanical, thermal and thermomechanical loads has been examined in works [20–23].…”