<div class="csl-bib-body">
<div class="csl-entry">Auricchio, F., Balduzzi, G., & Lovadina, C. (2013). The dimensional reduction modelling approach for 3D beams: Differential equations and finite-element solutions based on Hellinger–Reissner principle. <i>International Journal of Solids and Structures</i>, <i>50</i>(25–26), 4184–4196. https://doi.org/10.1016/j.ijsolstr.2013.08.022</div>
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The final publication is available via <a href="https://doi.org/10.1016/j.ijsolstr.2013.08.022" target="_blank">https://doi.org/10.1016/j.ijsolstr.2013.08.022</a>.
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dc.description.abstract
This paper illustrates an application of the so-called dimensional reduction modelling approach to obtain a mixed, 3D, linear, elastic beam-model.<br />We start from the 3D linear elastic problem, formulated through the Hellinger–Reissner functional, then we introduce a cross-section piecewise-polynomial approximation, and finally we integrate within the cross section, obtaining a beam model that satisfies the cross-section equilibrium and could be applied to inhomogeneous bodies with also a non trivial geometries (such as L-shape cross section). Moreover the beam model can predict the local effects of both boundary displacement constraints and non homogeneous or concentrated boundary load distributions, usually not accurately captured by most of the popular beam models.<br />We modify the beam-model formulation in order to satisfy the axial compatibility (and without violating equilibrium within the cross section), then we introduce axis piecewise-polynomial approximation, and finally we integrate along the beam axis, obtaining a beam finite element. Also the beam finite elements have the capability to describe local effects of constraints and loads. Moreover, the proposed beam finite element describes the stress distribution inside the cross section with high accuracy.<br />In addition to the simplicity of the derivation procedure and the very satisfying numerical performances, both the beam model and the beam finite element can be refined arbitrarily, allowing to adapt the model accuracy to specific needs of practitioners.
en
dc.language
English
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dc.language.iso
en
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dc.publisher
Elsevier Ltd.
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dc.relation.ispartof
International Journal of Solids and Structures
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dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.subject
linear elastic beam
en
dc.subject
mixed variational modelling
en
dc.subject
beam analytical solution
en
dc.subject
static analysis
en
dc.subject
finite element
en
dc.title
The dimensional reduction modelling approach for 3D beams: Differential equations and finite-element solutions based on Hellinger–Reissner principle
en
dc.type
Article
en
dc.type
Artikel
de
dc.rights.license
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
en
dc.rights.license
Creative Commons Namensnennung - Nicht kommerziell - Keine Bearbeitungen 4.0 International
de
dc.contributor.affiliation
University of Pavia, Italy
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dc.contributor.affiliation
University of Pavia, Italy
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dc.description.startpage
4184
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dc.description.endpage
4196
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dc.rights.holder
2013 Elsevier
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dc.type.category
Original Research Article
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tuw.container.volume
50
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tuw.container.issue
25-26
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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tuw.version
smur
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dcterms.isPartOf.title
International Journal of Solids and Structures
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tuw.publication.orgunit
E202 - Institut für Mechanik der Werkstoffe und Strukturen
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tuw.publisher.doi
10.1016/j.ijsolstr.2013.08.022
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dc.identifier.eissn
1879-2146
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dc.identifier.libraryid
AC11362457
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dc.identifier.urn
urn:nbn:at:at-ubtuw:3-2985
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dc.rights.identifier
CC BY-NC-ND 4.0
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dc.rights.identifier
CC BY-NC-ND 4.0
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true
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with Fulltext
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Publications
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application/pdf
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http://purl.org/coar/resource_type/c_2df8fbb1
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item.languageiso639-1
en
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item.openaccessfulltext
Open Access
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research article
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open
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crisitem.author.dept
University of Pavia, Italy
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crisitem.author.dept
E202-02 - Forschungsbereich Werkstoff- und Struktursimulation
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crisitem.author.parentorg
E202 - Institut für Mechanik der Werkstoffe und Strukturen