Copyright © 2010 Tech Science Press CMC, vol.18, no.2, pp.155-182, 2010
Buckling and Postbuckling Behavior of Functionally
Graded Nanotube-Reinforced Composite Plates in
Thermal Environments
Hui-Shen Shen
1, 2
and Zheng Hong Zhu
3
Abstract: This paper investigates the buckling and postbuckling of simply sup-
ported, nanocomposite plates with functionally graded nanotube reinforcements
subjected to uniaxial compression in thermal environments. The nanocomposite
plates are assumed to be functionally graded in the thickness direction using single-
walled carbon nanotubes (SWCNTs) serving as reinforcements and the plates’ ef-
fective material properties are estimated through a micromechanical model. The
higher order shear deformation plate theory with a von Kármán-type of kinematic
nonlinearity is used to model the composite plates and a two-step perturbation tech-
nique is performed to determine the buckling loads and postbuckling equilibrium
paths. Numerical results for perfect and imperfect, geometrically mid-plane sym-
metric functionally graded carbon nanotube reinforced composite (FG-CNTRC)
plates are obtained under different sets of thermal environmental conditions. The
results for uniformly distributed CNTRC plate, which is a special case in the present
study, are compared with those of the FG-CNTRC plate. The results show that the
buckling loads as well as postbuckling strength of the plate can be significantly
increased as a result of a functionally graded nanotube reinforcement. The results
reveal that the carbon nanotube volume fraction has a significant effect on the buck-
ling load and postbuckling behavior of CNTRC plates.
Keywords: Nanocomposites; Functionally graded materials; Plates; Buckling;
Postbuckling
1
School of Ocean and Civil Engineering & State Key Laboratory of Ocean Engineering, Shanghai
Jiao Tong University, Shanghai 200030, People’s Republic of China
2
Corresponding author. E-mail address: hsshen@mail.sjtu.edu.cn
3
Department of Earth and Space Science and Engineering, York University, 4700 Keele Street,
Toronto, Ontario, Canada M3J 1P3