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Averaged reaction for nonlinear boundary conditions on a grill-type Winkler foundation

dc.contributor.authorGómez Gandarillas, Delfina 
dc.contributor.authorPérez Martínez, María Eugenia 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2025-01-21T17:59:16Z
dc.date.available2025-01-21T17:59:16Z
dc.date.issued2024-11-22
dc.identifier.issn1392-6292
dc.identifier.issn1648-3510
dc.identifier.otherPID2022-137694NB-I00es_ES
dc.identifier.urihttps://hdl.handle.net/10902/35117
dc.description.abstractWe consider a homogenization problem for the elasticity operator posed in a bounded domain of the half-space, a part of its boundary being in contact with the plane. This surface is traction-free out of "small regions", where we impose non-linear Winkler-Robin boundary conditions containing "large reaction parameters". Non-periodical distribution of these regions is allowed provided that they have the same area. We show the convergence of solutions towards those of the homogenized problems depending on the relations between the parameters distance, sizes, and reaction.es_ES
dc.description.sponsorshipThis work has been partially supported by grants: Grant PID2022-137694NBI00 funded by MICIU/AEI/10.13039/501100011033 and by ERDF/EU; Grant Ref. 20.VP66.64662 funded by Gobierno Cantabria-UC.es_ES
dc.format.extent20 p.es_ES
dc.language.isoenges_ES
dc.publisherVilnius Gediminas Technical University Presses_ES
dc.rights© 2024 The Author(s). Published by Vilnius Gediminas Technical University This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.es_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceMathematical Modelling and Analysis, 2024, 29(4), 694-713es_ES
dc.subject.otherBoundary homogenizationes_ES
dc.subject.otherElasticity operatores_ES
dc.subject.otherNonlinear Winkler foundationses_ES
dc.titleAveraged reaction for nonlinear boundary conditions on a grill-type Winkler foundationes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.3846/mma.2024.20137es_ES
dc.rights.accessRightsopenAccesses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-137694NB-I00/ES/HOMOGENIZACION Y PERTURBACIONES ESPECTRALES EN MODELOS CON FUERTES CONTRASTES. ASPECTOS MATEMATICOS/
dc.identifier.DOI10.3846/mma.2024.20137
dc.type.versionpublishedVersiones_ES


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© 2024 The Author(s). Published by Vilnius Gediminas Technical University This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.Excepto si se señala otra cosa, la licencia del ítem se describe como © 2024 The Author(s). Published by Vilnius Gediminas Technical University This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.