The effect of porosity distributions on post-buckling of imperfect nanocomposite plate by TSDT

Abstract

Abstract The post-buckling behavior of a porous nanocomposite plates reinforced with carbon nanotubes (CNTs) with and without imperfection peresented. Different porosity distributions are considered, uniform and non-uniform. The elastic properties of the nanocomposite plates are determined using the Halpin-Tsai micromechanical model. Von Karman relations and third-order shear deformation theory (TSDT) were implemented to calculate the stress and displacement fields. Numerical results are given for evaluating the effects of different porosity distribution, material properties and imperfection on displacement and stress fields in a nanocomposite plate. Large deflection theory are considered to extract the stress field and displacement field for the perfect and imperfect nanocomposite plate. Navier solution is used to solve the large deflection nonlinear equations. The results are compared and validated with the pervious works. It is observed that applying the various porosity distributions to a nanocomposite plate lead to a significant effect on the value on post-buckling loads.