Thermo-mechanical post-buckling of FGM cylindrical panels with temperature-dependent properties

Abstract

This paper presents thermo-mechanical post-buckling analysis of cylindrical panels that are made of functionally graded materials (FGMs) with temperature-dependent thermo-elastic properties that are graded in the direction of thickness according to a simple power law distribution in terms of the volume fractions of the constituents. The panel is initially stressed by an axial load, and is then subjected to a uniform temperature change. The theoretical formulations are based on the classical shell theory with von-Karman-Donnell-type nonlinearity. The effect of initial geometric imperfection is also included. A differential quadrature (DQ) based semi-analytical method combined with an iteration process is employed to predict the critical buckling load (where it is applicable) and to trace the post-buckling equilibrium path of FGM cylindrical panels under thermo-mechanical loading. Numerical results are presented for panels with silicon nitride and nickel as the ceramic and metal constituents. The effects of temperature-dependent properties, volume fraction index, axial load, initial imperfection, panel geometry and boundary conditions on the thermo-mechanical post-buckling behavior are evaluated in detail through parametric studies.

A mesh-free method for analysis of the thermal and mechanical buckling of functionally graded cylindrical shell panels

“…Woo et al [13] provided an analytical solution for the postbuckling behavior of moderately thick plates and shallow shells made of FGMs under edge compressive loads and a temperature field. Yang et al [14] undertook thermo-mechanical buckling and postbuckling analysis of functionally graded cylindrical thin panels using a semi-analytical differential quadrature method.…”

Postbuckling of thick FGM cylindrical panels with tangential edge constraints and temperature dependent properties

“…(6), (7) into Eqs. (8) and substitution of the resulting into Eqs. (9) give the constitutive relations as…”

“…Basing on asymptotic solutions and an iteration algorithm, Shen and his co-workers have analyzed nonlinear bending and postbuckling of FGM cylindrical panels under mechanical, thermal and electric loadings [5][6][7]. Geometrically nonlinear response of FGM cylindrical panels under external pressure and axial compression has been addressed by Liew and his collaborators [8][9][10] using meshless methods. Recently, Shen and Wang [8][9][10] using meshless methods.…”

“…Geometrically nonlinear response of FGM cylindrical panels under external pressure and axial compression has been addressed by Liew and his collaborators [8][9][10] using meshless methods. Recently, Shen and Wang [8][9][10] using meshless methods. Recently, Shen and Wang [11,12] studied the effects of elastic foundations on the nonlinear bending and postbuckling of FGM cylindrical panels utilizing a semi-analytical approach.…”

Nonlinear analysis of buckling and postbuckling for axially compressed functionally graded cylindrical panels with the Poisson's ratio varying smoothly along the thickness

“…Kabir and Chaudhur [11] presented a direct Fourier approach for the analysis of thin finite-dimensional cylindrical panels. Thermomechanical postbuckling of FGM cylindrical panels with temperature dependent properties is investigated by Yang et al [12]. Geometrically nonlinear analysis of functionally graded shells are considered by Zhao and Liew [13].…”