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On bending of cutout nanobeams based on nonlocal strain gradient elasticity theory
Faculty
Engineering
Year:
2022
Type of Publication:
ZU Hosted
Pages:
707-723
Authors:
Alaa Ahmed Abd elrahman
Staff Zu Site
Abstract In Staff Site
Journal:
STEEL AND COMPOSITE STRUCTURES Techno Press
Volume:
6
Keywords :
, bending , cutout nanobeams based , nonlocal strain
Abstract:
This article aims to investigate the size dependent bending behavior of perforated nanobeams incorporating the nonlocal and the microstructure effects based on the nonlocal strain gradient elasticity theory (NSGET). Shear deformation effect due to cutout process is studied by using Timoshenko beams theory. Closed formulas for the equivalent geometrical characteristics of regularly squared cutout shape are derived. The governing equations of motion considering the nonlocal and microstructure effects are derived in comprehensive procedure and nonclassical boundary conditions are presented. Analytical solution for the governing equations of motion is derived. The derived non-classical analytical solutions are verified by comparing the obtained results with the available results in the literature and good agreement is observed. Numerical results are obtained and discussed. Parametric studies are conducted to explore effects of perforation characteristics, the nonclassical material parameters, beam slenderness ratio as well as the boundary and loading conditions on the non-classical transverse bending behavior of cutout nanobeams. Results obtained are supportive for the design, analysis and manufacturing of such nanosized structural system.
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
Ashraf Abdelfattah Ali Hassanein, "Hot-Pressed Electrospun PAN Nano Fibers: An Idea for Flexible Carbon Mat", Journal of Materials Processing Technology,2009; 209:4617-4620, 2009
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Mohammed Abdelmoniem Mohamed Eltaher , "Determination of neutral axis position and its effect on natural frequencies of functionally graded macro/nanobeams", www.elsevier.com/locate/compstruct, 2014
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Mohammed Abdelmoniem Mohamed Eltaher , "Coupling effects of nonlocal and surface energy on vibration analysis of nanobeams", www.elsevier.com, 2013
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Marwa Ahmed Abdelbaky Salam , "Interlaminar shear behavior of unidirectional glass fiber (U)/random glass fiber (R)/epoxy hybrid and non-hybrid composite laminates", ScienceDirect, 2012
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Marwa Ahmed Abdelbaky Salam , "Statistical analysis of monotonic mechanical properties for unidirectional glass fiber (U)/random glass fiber (R)/epoxy hybrid and non-hybrid polymeric composites", sage, 2013
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