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International Journal of Solids and Structures
Article
License: Elsevier Non-Commercial
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International Journal of Solids and Structures
Article . 2011
License: Elsevier Non-Commercial
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International Journal of Solids and Structures
Article . 2011 . Peer-reviewed
License: Elsevier Non-Commercial
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A Timoshenko beam theory with pressure corrections for layered orthotropic beams

Authors: Kennedy, Graeme J.; Hansen, Jorn S.; Martins, Joaquim R.R.A.;

A Timoshenko beam theory with pressure corrections for layered orthotropic beams

Abstract

AbstractA Timoshenko beam theory for layered orthotropic beams is presented. The theory consists of a novel combination of three key components: average displacement and rotation variables that provide the kinematic description of the beam, stress and strain moments used to represent the average stress and strain state in the beam, and the use of exact axially-invariant plane stress solutions to calibrate the relationships between all these quantities. These axially-invariant solutions, which we call the fundamental states, are also used to determine a shear strain correction factor as well as corrections to account for effects produced by externally-applied loads. The shear strain correction factor and the external load corrections are computed for a beam composed of isotropic layers. The proposed theory yields Cowper’s shear correction for a single isotropic layer, while for multiple layers new expressions for the shear correction factor are obtained. A body-force correction is shown to account for the difference between Cowper’s shear correction and the factor originally proposed by Timoshenko. Numerical comparisons between the theory and finite-elements results show good agreement.

Keywords

Timoshenko beam theory, Shear correction factor, Materials Science(all), Mechanics of Materials, Mechanical Engineering, Modelling and Simulation, Applied Mathematics, Condensed Matter Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
24
Top 10%
Top 10%
Top 10%
hybrid