Manuscript.pdf (2.07 MB)
A simple shear deformation theory for nonlocal beams
journal contribution
posted on 2020-12-08, 22:54 authored by Son ThaiSon Thai, Huu Tai Thai, Thuc VoThuc Vo, Vipulkumar PatelVipulkumar Patel© 2017 Elsevier Ltd
In this paper, a simple beam theory accounting for shear deformation effects with one unknown is proposed for static bending and free vibration analysis of isotropic nanobeams. The size-dependent behaviour is captured by using the nonlocal differential constitutive relations of Eringen. The governing equation of the present beam theory is obtained by using equilibrium equations of elasticity theory. The present theory has strong similarities with nonlocal Euler–Bernoulli beam theory in terms of the governing equation and boundary conditions. Analytical solutions for static bending and free vibration are derived for nonlocal beams with various types of boundary conditions. Verification studies indicate that the present theory is not only more accurate than Euler–Bernoulli beam theory, but also comparable with Timoshenko beam theory.
Funding
Postgraduate Research Scholarship at La Trobe University
History
Publication Date
2018-01-01Journal
Composite StructuresVolume
183Issue
1Pagination
9p. (p. 262-270)Publisher
ElsevierISSN
0263-8223Rights Statement
The Author reserves all moral rights over the deposited text and must be credited if any re-use occurs. Documents deposited in OPAL are the Open Access versions of outputs published elsewhere. Changes resulting from the publishing process may therefore not be reflected in this document. The final published version may be obtained via the publisher’s DOI. Please note that additional copyright and access restrictions may apply to the published version.Publisher DOI
Usage metrics
Categories
No categories selectedKeywords
Science & TechnologyTechnologyMechanicsMaterials Science, CompositesMaterials ScienceNanobeamNonlocal elasticity theoryShear deformation beam theoryBendingVibrationFUNCTIONALLY GRADED NANOBEAMSDIFFERENTIAL TRANSFORM METHODAMPLITUDE FREE-VIBRATIONWALLED CARBON NANOTUBETIMOSHENKO BEAMBUCKLING ANALYSISCONTINUUM-MECHANICSBOUNDARY-CONDITIONSELASTIC MODELSMaterials
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC