Analysis of postbuckling behavior of general higher-order functionally graded nanoplates with geometrical imperfection considering porosity distributions

This paper deals with postbuckling of geometrically imperfect functionally graded (FG) nanoplates with porosities based on general higher-order plate model and nonlocal elasticity. Porosity distributions are considered as even and uneven models. Porosity volume fraction is incorporated to the power-law modeling of FG materials. Employing a general higher-order plate theory with five field variables, it is possible to satisfy shear deformation effects without adding correction factors. The nonlinear governing equations are analytically solved to obtain the postbuckling load-deflection relation of the nanoplate. Obtained results indicate the significance of porosity coefficient, porosity distribution, geometrical imperfection, nonlocality, material composition and geometrical parameters on postbuckling characteristics of size-dependent nanoplates.