uniaxial buckling analysis comparison of nanoplate and nanocomposite plate with central square cut out using domain decomposition method

a comparison of buckling analysis of the nanoplate and nanocomposite plate with central square hole embedded in winkler foundation is presented in this article. in order to enhance mechanical properties of nanoplate with central cut out, carbon nano tubes (cnts) are applied as uniform distribution (ud) through thickness direction. in order to define the shape function of plate with square cut out, domain decomposition method and orthogonal polynomials are used. at last, to obtain critical buckling load of system, rayleigh-ritz energy method is provided. the impacts of the length and width of plate, dimension of square cut out and elastic medium on nanoplate and nanocomposite plate are presented in this study.