Static bending and buckling of perforated nonlocal size-dependent nanobeams

Due to their superior electronic, mechanical and thermal properties of nano-materials, they have been widely used in nanoelectromechanical systems (NEMS). Nanobeams are common elements in these systems. In some situations perforation is necessary in nanostructures for manufacturing process and technological reasons. Therefore, studying of static bending and buckling behavior of perforated nanobeams is essential for accurate and reliable design of nanostructures. Because of the importance of size effects on the mechanical performance of these structures the size-scale effect should be considered in their design. In this paper an analytical model capable of predicting bending response and critical buckling load of perforated nanobeams is presented for the first time. The model is formulated based on both Timoshenko and Euler-Bernoulli beam theories with nonlocal differential form of Eringen model. The present model is validated by comparing the obtained predictions with that of the available published results in literature for fully beam. Effects of size-scale and perforation parameters (perforation size and number of cutouts) on the static and buckling behavior of the perforated nanobeams are analyzed.