Buckling analysis on the bi-dimensional functionally graded porous tapered nano-/micro-scale beams

This research presents an exhaustive analysis on the buckling behavior of two-dimensional functionally graded (2D-FG) tapered Euler-Bernoulli beams made of porous materials in nano- and micro-scales. The imperfect nanobeams are studied based on the Eringen's nonlocal elasticity theory and the governing equations of micro-scaled imperfect beams are derived using the modified couple stress theory. The 2D-FG composition of the material is considered using the power law function. The generalized differential quadrature method (GDQM) is used for the solution process. The buckling behavior of 2D-FG porous micro- and nano-beams is studied in different porosity volume fractions (α), FG indexes (nx and nz) and rates of cross section change along thickness (βh) and width (βb).