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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:
Alaa Ahmed Abd elrahman
Staff Zu Site
Abstract In Staff Site
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.
Author Related Publications
Alaa Ahmed Abd elrahman , "Vibrations and stress analysis of rotating perforated beams by using finite elements method", Techno-Press, Ltd., 2021
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Alaa Ahmed Abd elrahman , "Vibration of nonlinear graduation of nano-Timoshenko beam considering the neutral axis position", Elsevier, 2014
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Alaa Ahmed Abd elrahman , "Influence of surface energy on the nanoindentation response of elastically-layered viscoelastic materials", Springer, 2015
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Alaa Ahmed Abd elrahman , "A numerical solution for quasistatic viscoelastic frictional contact problems", ASME, 2007
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Alaa Ahmed Abd elrahman , "Effect of the material parameters on layered viscoelastic frictional contact systems", Hindawi Publishing Corporation, 2010
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Department Related Publications
Soliman Soliman Soliman Alieldien, "A first-order shear deformation finite element model for elastostatic analysis of laminated composite plates and the equivalent functionally graded plates", Ain Shams Engineering Journal, 2011
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Soliman Soliman Soliman Alieldien, "Size-dependent analysis of functionally graded ultra-thin films", Structural Engineering and Mechanics, Vol. 44, No. 4 (2012) 431-448, 2012
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Soliman Soliman Soliman Alieldien, "Bending Analysis of Ultra-thin Functionally Graded Mindlin Plates Incorporating Surface Energy Effects", International Journal of Mechanical Sciences, 2013
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Soliman Soliman Soliman Alieldien, "Finite element analysis of functionally graded nano-scale films", Finite Elements in Analysis and Design, 2013
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Soliman Soliman Soliman Alieldien, "Finite Element Analysis of the Deformation of Functionally Graded Plates under Thermomechanical Loads", Mathematical Problems in Engineering, 2013
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