Mathematical and numerical analysis of Koiter elliptic shells in normal compliance contact

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UDC.coleccionInvestigación
UDC.departamentoMatemáticas
UDC.endPage565
UDC.grupoInvGrupo de Modelización e Resolución de Modelos (GMRM)
UDC.issue3
UDC.journalTitleMathematics and Mechanics of Solids
UDC.startPage538
UDC.volume2026
UDC.volume31
dc.contributor.authorArós, Á.
dc.contributor.authorVenturato, L.D.
dc.contributor.authorLombardi, Ariel L.
dc.date.accessioned2026-01-21T09:09:34Z
dc.date.available2026-01-21T09:09:34Z
dc.date.issued2026
dc.descriptionThis manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/. This version of the article: Arós, Ángel, Lombardi, Ariel L., Venturato, Lucas. Mathematical and numerical analysis of Koiter elliptic shells in normal compliance contact. Mathematics and Mechanics of Solids. (2026). DOI: https://doi.org/10.1177/10812865251400629 Copyright © 2026 Sage Publications, © The Author(s)
dc.description.abstract[Abstract] We consider a model for Koiter linear elastic elliptic shells in contact with a deformable obstacle and we study the convergence of the solution of this model towards the solution of the corresponding model for elastic elliptic membrane shells when the small parameter of the model (thickness) tends to zero. Furthermore, we propose a numerical scheme for this kind of contact problems for Koiter shells and show numerical simulations after implementation by using the free software package FreeFem++.
dc.description.sponsorshipAcknowledgments We, the authors, are grateful to the editors of the Ciarlet special issue for inviting us to contribute by submitting a paper. Our research benefits from the use of results and methods developed by P.G. Ciarlet in his study of the Mathematical Theory of Shells, a field (among many) that he decisively contributed to create and expand. One can just inspect our bibliography section to see the number of his works that we cite. We hope that this will serve as our humble tribute to him and his work, which continues to inspire us. Funding The authors disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work has been partially supported by the Project PID2024-158035NB-I00 funded by MCIN/AEI/10.13039/501100011033/ and FEDER, EU. The work of Á.A.R. and L.V. started under the European Union’s Horizon 2020 research and innovation program, under the Marie Skłodowska-Curie Grant Agreement No. 823731 CONMECH. L.V. also acknowledges support from Proyectos Austral N°O06-25CI2001 from Universidad Austral and PIP No. 11220220100532 from CONICET. The work of A.L. was partially supported by the Universidad Nacional de Rosario under grant 80020220700222UR and PIP No. 11220220100246CO from CONICET.
dc.description.sponsorshipArgentina. Unviersidad Austral; O06-25CI2001
dc.description.sponsorshipArgentina. Unviersidad Nacional de Rosario; 80020220700222UR
dc.identifier.citationArós Á, Lombardi AL, Venturato L. Mathematical and numerical analysis of Koiter elliptic shells in normal compliance contact. Mathematics and Mechanics of Solids. 2026;31(3):538-565. doi: https://doi.org/10.1177/10812865251400629
dc.identifier.doi10.1177/10812865251400629
dc.identifier.urihttps://hdl.handle.net/2183/47010
dc.language.isoeng
dc.publisherSAGE
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICIU/Plan Estatal de Investigación Científica y Técnica y de Innovación 2024-2027/PID2024-158035NB-I00/ES/NUEVOS MODELOS DE INTERACCION ENTRE FLUIDOS Y ESTRUCTURAS FINAS CON APLICACIONES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/823731
dc.relation.urihttps://doi.org/10.1177/10812865251400629
dc.rightsCopyright © 2025, Sage Publications © The Author(s) 2025.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectShells
dc.subjectMembrane
dc.subjectKoiter
dc.subjectContact
dc.subjectAsymptotic analysis
dc.subjectNumeelasticity
dc.subjectDeformable foundationrical analysis
dc.subjectNormal compliance
dc.subjectConvergence
dc.titleMathematical and numerical analysis of Koiter elliptic shells in normal compliance contact
dc.typejournal article
dc.type.hasVersionAM
dspace.entity.typePublication
relation.isAuthorOfPublication02382cd3-992b-4049-9618-52e951114ffc
relation.isAuthorOfPublication.latestForDiscovery02382cd3-992b-4049-9618-52e951114ffc

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