On bending and buckling responses of perforated nanobeams including surface energy for different beams theories

Faculty Engineering Year: 2022
Type of Publication: ZU Hosted Pages: 2385–2411
Authors:
Journal: Engineering with Computers Springer Volume:
Keywords : , bending , buckling responses , perforated nanobeams including    
Abstract:
Perforated beam is essential structural element of Nano-Electro-Mechanical-Systems (NEMS), whose design needs appro-priate modelling of size of holes, hole numbers, and scale effects. The current manuscript presents a comprehensive study and develops non-classical closed form solutions to predict the static bending behavior and buckling stability of perforated nanobeams (PNBs) incorporating the surface energy for different four beams theories, for the first time. Equivalent geometri- cal models for both bulk and surface characteristics are presented. The Gurtin–Murdoch surface elasticity model is modified and adopted to include the perforation in surface characteristics. To consider the warping shear effect on bending as well as critical buckling loads with the presence of surface stress effects, four different beams theories with shear deformation are considered. The non-classical equilibrium equations relevant to each PNB theory are developed in detail. Closed-form solutions are developed considering the different classical and non-classical boundary conditions as well as loading condi- tions. The proposed methodology is verified by comparing the obtained results with the available analytical solutions for fully filled beams and excellent agreement is observed. Effects of perforation characteristics as well as the surface effects on bending and buckling behaviors are investigated.
   
     
 
       

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