Size-dependent nonlinear analysis and damping responses of FG-CNTRC micro-plates

Research output: Contribution to journalArticleScientificpeer-review


  • Cuong-Le Thanh
  • Loc V. Tran
  • T. Vu-Huu
  • H. Nguyen-Xuan
  • M. Abdel-Wahab

Research units

  • Ho Chi Minh City University of Technology
  • Sejong University
  • Ghent University
  • Ho Chi Minh City Open University
  • Ton Duc Thang University


This paper presents a nonlinear numerical model, which is based on the modified couple stress theory (MCST), and trigonometric shear deformation theory coupled with isogeometric analysis. The present approach captures the small scale effects on the geometrically nonlinear behaviors of functionally graded carbon nanotube reinforced composite (FG-CNTRC) micro-plate with four patterns distribution. The equations of motion are established based on a Galerkin weak form associated with von-Kármán nonlinear strains. The MCST utilizes only one material length scale parameter to predict the size effect in FG-CNTRC micro-plate, for which its material properties are derived from an extended rule of mixture. The solutions of nonlinear static equation are obtained by using the Newton–Raphson technique and the Newmark time iteration procedure in association with Picard method is assigned to get responses of the nonlinear dynamic problems. In addition, the Rayleigh damping is applied to consider the influence of damping characteristic on the oscillation of FG-CNTRC micro-plates. Comparisons are performed to verify the proposed approach. Afterward, the numerical examples are used to show the effects of the distribution of carbon nanotubes (CNT), their volume fraction, the material length scale parameter and the boundary conditions on the nonlinear static and dynamic behaviors of FG-CNTRC micro-plates.


Original languageEnglish
Pages (from-to)253-276
Number of pages24
JournalComputer Methods in Applied Mechanics and Engineering
Publication statusPublished - 15 Aug 2019
MoE publication typeA1 Journal article-refereed

    Research areas

  • Functionally graded carbon nanotube, Modified couple stress theory, Nonlinear dynamic, Nonlinear static, Size-dependent

ID: 34209540