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Steel and Composite Structures
  Volume 38, Number 5, March10 2021 , pages 583-597
DOI: https://doi.org/10.12989/scs.2021.38.5.583
 


Static analysis of cutout microstructures incorporating the microstructure and surface effects
Mashhour A. Alazwari, Alaa A. Abdelrahman, Ahmed Wagih, Mohamed A. Eltaher and Hanaa E. Abd-El-Mottaleb

 
Abstract
    This article develops a nonclassical model to analyze bending response of squared perforated microbeams considering the coupled effect of microstructure and surface stress under different loading and boundary conditions, those are not be studied before. The corresponding material and geometrical characteristics of regularly squared perforated beams relative to fully filled beam are obtained analytically. The modified couple stress and the modified Gurtin-Murdoch surface elasticity models are adopted to incorporate the microstructure as well as the surface energy effects. The differential equations of equilibrium including the Poisson's effect are derived based on minimum potential energy. Exact closed form solution is obtained for bending behavior of the proposed model considering the classical and nonclassical boundary conditions for both uniformly distributed and concentrated loads. The proposed model is verified with results available in the literature. Influences of the microstructure length scale parameter, surface energy, beam thickness, boundary and loading conditions on the bending behavior of perforated microbeams are investigated. It is observed that microstructure and surface parameters are vital in investigation of the bending behavior of perforated microbeams. The obtained results are supportive for the design, analysis and manufacturing of perforated nanobeams that commonly used in nanoactuators, nanoswitches, MEMS and NEMS systems.
 
Key Words
    equivalent geometrical model; microstructure and surface effects; perforated beam; bending behavior; classical and nonclassical boundary conditions; exact closed form
 
Address
Mashhour A. Alazwari: Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia
Alaa A. Abdelrahman and Ahmed Wagih: Mechanical Design & Production Dept., Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt
Mohamed A. Eltaher: Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia;
Mechanical Design & Production Dept., Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt
Hanaa E. Abd-El-Mottaleb: Structural Engineering Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt
 

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