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Archive of Applied Mechanics
Published in: Archive of Applied Mechanics 12/2021

26-08-2021 | Original

Analysis of large deflection of nanobeams based on the modified couple stress theory by using finite element method

Authors: Ehsan Raeisi Estabragh, Gholam Hossein Baradaran

Published in: Archive of Applied Mechanics | Issue 12/2021

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Abstract

A total Lagrangian finite element formulation was developed for investigating large deflection bending of nanobeams based on the modified couple stress theory. Timoshenko beam theory accompanied by the axial displacement with least kinematic assumptions has been used to model nanobeams. For the first time, the tangent stiffness matrix for nanobeams is extracted based on the modified couple stress theory. The present finite element formulation provides the possibility of solving the problems of nanobeams with arbitrary loading, boundary conditions and cross-sectional variation. The obtained results have been validated with the results reported in the other works. The influence of material length scale parameter on the maximum amount of displacement and rotation of nanobeams is discussed for different ratios of the nanobeam length to the thickness. Besides, for the illustration of abilities of the present formulation, large deflection of a tapered nanobeam under the sinusoidal distributed load for two types of boundary conditions (clamped and simply supported) has been presented.
previous article Frictional contact problem of one-dimensional hexagonal piezoelectric quasicrystals layer
next article Elastoplastic nonlinear analysis of functionally graded beams utilizing the symplectic method

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Appendix
Available only for authorised users
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Metadata
Title
Analysis of large deflection of nanobeams based on the modified couple stress theory by using finite element method
Authors
Ehsan Raeisi Estabragh
Gholam Hossein Baradaran
Publication date
26-08-2021
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 12/2021
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-021-02029-6

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