Uniaxial Buckling Analysis Comparison of Nanoplate and Nanocomposite Plate with Central Square Cut out Using Domain Decomposition Method

A comparison of the buckling analysis of the nanoplate and nanocomposite plate with a central square hole embedded in the Winkler foundation is presented in this article. In order to enhance the mechanical properties of the nanoplate with a central cutout, the uniformly distributed carbon nanotubes (CNTs) are applied through the thickness direction. In order to define the shape function of the plate with a square cutout, the domain decomposition method and the orthogonal polynomials are used. At last, to obtain the critical buckling load of the system, the Rayleigh-Ritz energy method is provided. The impacts of the length and width of the plate, the dimension of the square cutout, and the elastic medium on the nanoplate and nanocomposite plate are presented in this study.