<div class="csl-bib-body">
<div class="csl-entry">Auricchio, F., Balduzzi, G., & Lovadina, C. (2015). The dimensional reduction approach for 2D non-prismatic beam modeling: a solution based on Hellinger-Reissner principle. <i>International Journal of Solids and Structures</i>, <i>63</i>, 264–276. https://doi.org/10.1016/j.ijsolstr.2015.03.004</div>
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The final publication is available via <a href="https://doi.org/10.1016/j.ijsolstr.2015.03.004" target="_blank">https://doi.org/10.1016/j.ijsolstr.2015.03.004</a>.
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dc.description.abstract
The present paper considers a non-prismatic beam i.e., a beam with a cross-section varying along the beam axis. In particular, we derive and discuss a model of a 2D linear-elastic non-prismatic beam and the corresponding finite element. To derive the beam model, we use the so-called dimensional reduction approach: from a suitable weak formulation of the 2D linear elastic problem, we introduce a variable cross-section approximation and perform a cross-section integration. The satisfaction of the boundary equilibrium on lateral surfaces is crucial in determining the model accuracy since it leads to consider correct stress-distribution and coupling terms (i.e., equation terms that allow to model the interaction between axial-stretch and bending). Therefore, we assume as a starting point the Hellinger–Reissner functional in a formulation that privileges the satisfaction of equilibrium equations and we use a cross-section approximation that exactly enforces the boundary equilibrium.<br /><br />The obtained beam-model is governed by linear Ordinary Differential Equations (ODEs) with non-constant coefficients for which an analytical solution cannot be found, in general. As a consequence, starting from the beam model, we develop the corresponding beam finite element approximation. Numerical results show that the proposed beam model and the corresponding finite element are capable to correctly predict displacement and stress distributions in non-trivial cases like tapered and arch-shaped beams.
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
Tapered beam modelling
en
dc.subject
Non-prismatic beam modelling
en
dc.subject
Finite element
en
dc.subject
Mixed variational formulation
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dc.title
The dimensional reduction approach for 2D non-prismatic beam modeling: a solution 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
264
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dc.description.endpage
276
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dc.rights.holder
2015 Elsevier
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dc.type.category
Original Research Article
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tuw.container.volume
63
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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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wb.publication.intCoWork
International Co-publication
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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.2015.03.004
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dc.identifier.eissn
1879-2146
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dc.identifier.libraryid
AC11362454
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dc.identifier.urn
urn:nbn:at:at-ubtuw:3-2962
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dc.rights.identifier
CC BY-NC-ND 4.0
en
dc.rights.identifier
CC BY-NC-ND 4.0
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wb.sci
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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item.openairetype
research article
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item.grantfulltext
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