Asymptotic analysis of linearly elastic shells in normal compliance contact: Error estimates for the elliptic membrane case

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UDC.coleccionInvestigación
UDC.departamentoMatemáticas
UDC.grupoInvGrupo de Modelización e Resolución de Modelos (GMRM)
UDC.journalTitleMathematics and Mechanics of Solids
UDC.volume2026
dc.contributor.authorCao Rial, María Teresa
dc.contributor.authorRoscani, Sabrina
dc.contributor.authorVenturato, L.D.
dc.date.accessioned2026-01-21T08:32:05Z
dc.date.available2026-01-21T08:32:05Z
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: Cao-Rial MT, Roscani S, Venturato L. Asymptotic analysis of linearly elastic shells in normal compliance contact: Error estimates for the elliptic membrane case. Mathematics and Mechanics of Solids. 2026. doi: https://doi.org/10.1177/10812865251383770 Copyright © 2026 Sage Publications, © The Author(s)
dc.description.abstract[Abstract] In this paper, we consider a family of linearly elastic shells in normal compliance contact with a deformable foundation. We obtain error estimates for the approximation of the solution to a three-dimensional (3D) problem with a two-dimensional (2D) limit solution in terms of the thickness ε of the shell. The proof of the main result relies on a corrector method. We also provide a strong formulation for the 2D obstacle boundary value problem associated.
dc.description.sponsorshipFunding The authors disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This research was partially supported by the European Union’s Horizon 2020 research and innovation program, under the Marie Sklodowska-Curie Grant Agreement No. 823731 CONMECH and PID2024-158035NB-100 from Ministerio de Ciencia, Innovación y Universiades of Spain. In addition, the second author was partially supported by the Project INV-006-00030 from Universidad Austral and PICT-2021-I-INVI-00317.
dc.description.sponsorshipArgentina. Unviersidad Austral; INV-006-00030
dc.description.sponsorshipArgentina; PICT-2021-I-INVI-00317
dc.identifier.citationCao-Rial MT, Roscani S, Venturato L. Asymptotic analysis of linearly elastic shells in normal compliance contact: Error estimates for the elliptic membrane case. Mathematics and Mechanics of Solids. 2026. doi: https://doi.org/10.1177/10812865251383770
dc.identifier.doi10.1177/10812865251383770
dc.identifier.urihttps://hdl.handle.net/2183/47008
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/10.1177/10812865251383770
dc.rightsCopyright © 2026, Sage Publications © The Author(s)
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.subjectContact
dc.subjectAsymptotic analysis
dc.subjectNormal compliance
dc.subjectError estimates
dc.subjectElasticity
dc.subjectMembrane
dc.titleAsymptotic analysis of linearly elastic shells in normal compliance contact: Error estimates for the elliptic membrane case
dc.typejournal article
dc.type.hasVersionAM
dspace.entity.typePublication
relation.isAuthorOfPublication28985cc2-4413-4a00-b126-e828e722cce4
relation.isAuthorOfPublication.latestForDiscovery28985cc2-4413-4a00-b126-e828e722cce4

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