Analysis of buckling of a multi-layered nanocomposite rectangular plate reinforced by single-walled carbon nanotubes on elastic medium considering nonlocal theory of Eringen and variational approach

In this paper, the mechanical buckling of a multi-layered nanocomposite rectangular plate reinforced by single-walled carbon nanotubes (SWCNTs) on Pasternak elastic medium subjected to in-plane loadings is investigated. The equilibrium and stability equations are derived using the higher-order shear deformation plate theory (HSDT) considering the nonlocal theory of Eringen and variational approach. Also, uniformly distributed carbon nanotubes (CNTs) plate is considered. Differential quadrature method (DQM) is used for solving the governing equations for various boundary conditions. In the current study, the effects of nonlocal parameters, aspect ratios, boundary conditions and medium modulus on the buckling behavior of nanocomposite plate are studied. Finally, the results of simpler examples are verified by other references. It is observed that the increase in nonlocal parameter leads to a decrease in non-dimensional buckling load, and as the scale factor increases, the nonlocal parameters enhance, and by increasing the nonlocal parameter, buckling load reduces.