Asymptotic analysis of linearly viscoelastic shells: error estimates in the membrane case

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UDC.coleccionInvestigación
UDC.departamentoMatemáticas
UDC.grupoInvGrupo de Modelización e Resolución de Modelos (GMRM)
UDC.journalTitleSeMA Journal
UDC.volume2025
dc.contributor.authorArós, Á.
dc.contributor.authorCastiñeira, G.
dc.contributor.authorVenturato, L.D.
dc.date.accessioned2025-12-15T12:26:11Z
dc.date.available2025-12-15T12:26:11Z
dc.date.issued2025-12-20
dc.descriptionThis version of the article has been accepted for publication, after peer review and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s40324-025-00411-w
dc.description.abstract[Abstract] We consider a family of linearly viscoelastic elliptic membrane shells, all sharing the same middle surface and with their lateral face clamped. Under these conditions, when the thickness tends to zero, the solution of the three-dimensional problem converges to the solution of a two-dimensional reduced problem for a viscoelastic membrane shell. In this paper we provide error estimates for this convergence. The proof uses a corrector method.
dc.description.sponsorshipFunding This research was partially supported by the Ministerio de Economía y Competitividad of Spain, with the participation of FEDER, under the grant MTM2016-78718-P. Moreover, it was also supported by the grant PID2024-158035NB-I00 financed by MICIU/AEI /10.13039/501100011033 and by FEDER, UE, and by the European Union’s Horizon 2020 research and innovation programme, under the Marie Skłodowska-Curie Grant Agreement No. 823731 CONMECH. Venturato L. was supported by project PIP No. 11220220100532 from CONICET, and by project No. 006-25CI2001 from Universidad Austral.
dc.identifier.citationCastiñeira, G., Arós, Á. & Venturato, L.D. Asymptotic analysis of linearly viscoelastic shells: error estimates in the membrane case. SeMA (2025). https://doi.org/10.1007/s40324-025-00411-w
dc.identifier.doi10.1007/s40324-025-00411-w
dc.identifier.urihttps://hdl.handle.net/2183/46657
dc.language.isoeng
dc.publisherSpringer
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/823731/EU
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-78718-P/ES/MODELIZACION ASINTOTICA EN MECANICA DE MEDIOS CONTINUOS EN DOMINIOS CON ALGUNA DIMENSION PEQUEÑA. APLICACIONES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICIU/Plan Estatal de Investigación Científica y Técnica y de Innovación 2024-2027/PID2024-158035NB-I00/ES/
dc.relation.urihttps://doi.org/10.1007/s40324-025-00411-w
dc.rightsSpringer
dc.rights.accessRightsembargoed access
dc.subjectAsymptotic analysis
dc.subjectViscoelasticity
dc.subjectShells
dc.subjectError estimates
dc.subjectTime dependent
dc.titleAsymptotic analysis of linearly viscoelastic shells: error estimates in the membrane case
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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