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On Bending Analysis of Perforated Microbeams Including the Microstructure Effects
Faculty
Engineering
Year:
2020
Type of Publication:
ZU Hosted
Pages:
765-779
Authors:
Alaa Ahmed Abd elrahman
Staff Zu Site
Abstract In Staff Site
Journal:
Structural Engineering and Mechanics Techno-Press, Ltd
Volume:
76
Keywords :
, Bending Analysis , Perforated Microbeams Including , Microstructure
Abstract:
This article presents a nonclassical size dependent model based on the modified couple stress theory to study and analyze the bending behavior of perforated microbeams under different loading patterns. Modified equivalent material and geometrical parameters for perforated beam are presented. The modified couple stress theory with one material length scale parameter is adopted to incorporate the microstructure effect into the governing equations of perforated beam structure. The governing equilibrium equations of the perforated Timoshenko as well as the perforated Euler Bernoulli are developed based on the potential energy minimization principle. The Poisson’s effect is included in the governing equilibrium equations. Regular square perforation configuration is considered. Based on Fourier series expansion, closed forms for the bending deflection and the rotational displacements are obtained for simply supported perforated microbeams. The proposed methodology is validated and compared with the available results in the literature and an excellent agreement is detected. Numerical results demonstrated the applicability of the proposed methodology to investigate the bending behavior of regularly squared perforated beams incorporating microstructure effect under different excitation patterns. The obtained results are significantly important for the design and production of perforated microbeam structures.
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
Elsayed saad Abdelsalam Salman, "S. Abdel Salam, A. Akl, O. Shallan, “DYNAMIC ANALYSIS OF TUNNEL”, Proceedings of the International Congress on Tunneling and ground Conditions, 3-7 April 1994, national Authority for Tunnels, Cairo, Egypt.", Proceedings of the International Congress on Tunneling and ground Conditions national Authority for Tunnels, Cairo, Egypt., 1994
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Mohamed Salah Amin Abdelaal, "Ultrasonic characterization of expanded polystyrene used for shallow tunnels under seismic excitation", journal homepage: www.sciencedirect.com, 2022
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Hanaa Alsayed Elsayed Abdelmoteleb, "Ultrasonic characterization of expanded polystyrene used for shallow tunnels under seismic excitation", journal homepage: www.sciencedirect.com, 2022
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Alaa Abdelhamied Ali Ata, "Numerical analysis of underground tunnels subjected to surface blast loads", Frattura ed Integrità Strutturale, 2021
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