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A Micromorphic Beam Theory for Beams with Elongated Microstructures
Faculty
Engineering
Year:
2020
Type of Publication:
ZU Hosted
Pages:
Authors:
Samer Abdelrahman Mohamed Emam
Staff Zu Site
Abstract In Staff Site
Journal:
Scientific Reports Nature
Volume:
Keywords :
, Micromorphic Beam Theory , Beams with Elongated
Abstract:
A novel micromorphic beam theory that considers the exact shape and size of the beam’s microstructure is developed. The new theory complements the beam theories that are based on the classical mechanics by modeling the shape and size of the beam’s microstructure. This theory models the beam with a microstructure that has shape and size and exhibits microstrains that are independent of the beam’s macroscopic strains. This theory postulates six independent degrees of freedom to describe the axial and transverse displacements and the axial and shear microstrains of the beam. The detailed variational formulation of the beam theory is provided based on the reduced micromorphic model. For the first time, the displacement and microstrain fields of beams with elongated microstructures are developed. In addition, six material constants are defined to fully describe the beam’s microscopic and macroscopic stiffnesses, and two length scale parameters are used to capture the beam size effect. A case study of clamped-clamped beams is analytically solved to show the influence of the beam’s microstructural stiffness and size on its mechanical deformation. The developed micromorphic beam theory would find many important applications including the mechanics of advanced beams such as meta-, phononic, and photonic beams.
Author Related Publications
Samer Abdelrahman Mohamed Emam, "Exploiting the subharmonic parametric resonances of a buckled beam for vibratory energy harvesting", Springer دولي, 2018
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Samer Abdelrahman Mohamed Emam, "Free vibration analysis of functionally graded size-dependent nanobeam", international, 2012
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Samer Abdelrahman Mohamed Emam, "Static and stability analysis of nonlocal functionally graded nanobeams", i, 2013
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Samer Abdelrahman Mohamed Emam, "Approximate analytical solutions for the nonlinear free vibrations of composite beams in buckling", international, 2013
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Samer Abdelrahman Mohamed Emam, "Nonlinear response of buckled beams to 1:1 and 3:1 internal resonances", international, 2013
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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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