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dc.contributor.author
Duran, Ricardo Guillermo
dc.contributor.author
Rodríguez, Rodolfo
dc.contributor.author
Sanhueza, Frank
dc.date.available
2017-07-07T19:51:49Z
dc.date.issued
2012-12
dc.identifier.citation
Duran, Ricardo Guillermo; Rodríguez, Rodolfo; Sanhueza, Frank; A finite element method for stiffened plates; EDP Sciences; Esaim-mathematical Modelling And Numerical Analysis-modelisation Matheematique Et Analyse Numerique; 46; 2; 12-2012; 291-315
dc.identifier.issn
0764-583X
dc.identifier.uri
http://hdl.handle.net/11336/19896
dc.description.abstract
The aim of this paper is to analyze a low order finite element method for a stiffened plate. The plate is modeled by Reissner-Mindlin equations and the stiffener by Timoshenko beams equations. The resulting problem is shown to be well posed. In the case of concentric stiffeners it decouples into two problems, one for the in-plane plate deformation and the other for the bending of the plate. The analysis and discretization of the first one is straightforward. The second one is shown to have a solution bounded above and below independently of the thickness of the plate. A discretization based on DL3 finite elements combined with ad-hoc elements for the stiffener is proposed. Optimal order error estimates are proved for displacements, rotations and shear stresses for the plate and the stiffener. Numerical tests are reported in order to assess the performance of the method. These numerical computations demonstrate that the error estimates are independent of the thickness, providing a numerical evidence that the method is locking-free.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
EDP Sciences
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Stiffened Plates
dc.subject
Reissner-Mindlin Model
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Timoshenko Beam
dc.subject
Finite Elements
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Error Estimates
dc.subject
Locking
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
A finite element method for stiffened plates
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-07-07T14:43:24Z
dc.journal.volume
46
dc.journal.number
2
dc.journal.pagination
291-315
dc.journal.pais
Francia
dc.journal.ciudad
Paris
dc.description.fil
Fil: Duran, Ricardo Guillermo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Rodríguez, Rodolfo. Universidad de Concepción; Chile
dc.description.fil
Fil: Sanhueza, Frank. Universidad Andres Bello; Chile
dc.journal.title
Esaim-mathematical Modelling And Numerical Analysis-modelisation Matheematique Et Analyse Numerique
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1051/m2an/2011011
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.esaim-m2an.org/articles/m2an/abs/2012/02/m2an110011/m2an110011.html
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