Post-buckling analysis of CNT-reinforced hybrid FG plates using MTSDT

The post-buckling behavior of a hybrid functionally graded (FG) rectangular plate reinforced with carbon nanotubes (CNT) is presented. The mathematical model developed based on transverse displacement variation of second-order in third-order shear deformation theory, hence referred to as modified third-order shear deformation theory (MTSDT). Transverse shear stress is imposed zero on top and bottom surface of plate. 2D C0 finite element (FE) formulation model developed based on MTSDT. Inhouse MATLAB code developed of present FE formulation. The rectangular plates consist of matrix material, fiber, and CNT as reinforcement material. The grading of fiber material in the thickness direction ensured using a power-law distribution. The material characteristics of the hybrid FG plates predicted using the Halpin-Tsai equation and the rule of mixing technique. No shear correction factor is required due to realistic parabolic behavior considered in the present work. The comparison study results of the present model are in good agreement with the published work. After confirming the accuracy of the present model a parametric study was carried outd to check the influence of different parameters.

Automated summary

This study presents the post-buckling behavior of a hybrid functionally graded rectangular plate reinforced with carbon nanotubes. A mathematical model based on a modified third-order shear deformation theory is developed, and a finite element formulation model is created using MATLAB. The results of the present model are in good agreement with published research, demonstrating the accuracy and effectiveness of the proposed approach.