Geometrically nonlinear large deformation of CNT-reinforced composite plates with internal column supports

Abstract

Abstract:The geometrical nonlinear analysis of internally supported nanocomposite plates subjected to a uniformly distributed load is carried out. This study investigates the effects of internal point/column supports on the large deformation bending of nanocomposite plates reinforced by carbon nanotubes (CNTs) with different types of distributions, namely, uniform and two kinds of functionally graded distributions through the thickness of the plates. Two-dimensional displacement field of the plate is approximated by a set of Improved Moving Least Squares (IMLS) functions. The arc-length iterative algorithm with the modified Newton method is employed to obtain the nonlinear response of nanocomposite plates. Convergence studies indicate the validity and effectiveness of the element-free IMLS-Ritz method. The effects of plate thickness-to-width ratio, volume fraction ratio, and plate aspect ratio on the large deformation behavior of nanocomposite plates under various boundary conditions are examined. To the best of the authors' knowledge, the problem has not been attempted in the open literature.

Axial and Shear Buckling Analysis of Multiscale FGM Carbon Nanotube Plates Using the MTSDT Model: A Numerical Approach

“…They observed that the gradient material properties play a vital role in the response of the FGM plates. Zhang [ 4 ] carried out a geometric non-linear analysis of CNT-reinforced FGM plates with column support. For modeling the structure, they used FSDT mathematical model with the von Kármán nonlinearity equation.…”

Transient response of pre-twisted FG-GRC sandwich conical shell subjected to low-velocity impact in thermal environment

“…Shen 11 first employed the idea of FGMs in the distribution of CNTs within the isotropic matrix to utilize the low content CNTs optimally and proposed functionally graded CNTs reinforced composites (FG-CNTRCs). Afterward, Zhang et al carried out extensive research works on linear and nonlinear bending, [12][13][14][15][16] buckling, 17 postbuckling, 18,19 free vibration, [20][21][22] dynamic, 23 elastodynamic, 24 and aerothermoelastic 25 behavior of FG-CNTRC plates using various structural theories and solution methods. To reveal more about the mechanical behaviors of FG-CNTRC plates/shells, the review articles reported by Liew et al 26,27 are recommended.…”