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Non-standard and constitutive boundary conditions in nonlocal strain gradient elasticity

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dc.affiliation.dptoUC3M. Departamento de Mecánica de Medios Continuos y Teoría de Estructurases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Dinámica y Fractura de Elementos Estructuraleses
dc.contributor.authorZaera, Ramón
dc.contributor.authorSerrano González, Óscar
dc.contributor.authorFernández-Sáez, José
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2022-12-16T11:54:06Z
dc.date.available2022-12-16T11:54:06Z
dc.date.issued2020-03-01
dc.description.abstractZaera et al. (Int J Eng Sci 138:65-81, 2019) recently showed that the nonlocal strain gradient theory (NSGT) is not consistent when it is applied to finite solids, since all boundary conditions associated to the corresponding problems cannot be simultaneously satisfied. Given the large number of works using the NSGT being currently published in the field of generalized continuum mechanics, it is pertinent to evince the shortcomings of the application of this theory. Some authors solved the problem omitting the constitutive boundary conditions. In the current paper we show that, in this case, the equilibrium fields are not compatible with the constitutive equation of the material. Other authors solved it omitting the non-standard boundary conditions. Here we show that, in this case, the solution does not fulfil conservation of energy. In conclusion, the inconsistency of the NSGT is corroborated, and its application must be prevented in the analysis of the mechanical behaviour of nanostructures.en
dc.description.sponsorshipThe authors are indebted to the Ministerio de Ciencia e Innovación de España (Projects DPI-2014-57989-P, PGC2018-098218-B-I00, and BES-2015-073720) for the financial support.en
dc.format.extent11es
dc.identifier.bibliographicCitationZaera, R., Serrano, Ó., & Fernández-Sáez, J. (2020). Non-standard and constitutive boundary conditions in nonlocal strain gradient elasticity. Meccanica, 55(3), 469–479.en
dc.identifier.doihttps://doi.org/10.1007/s11012-019-01122-z
dc.identifier.issn0025-6455
dc.identifier.issn1572-9648 (electronic)
dc.identifier.publicationfirstpage469es
dc.identifier.publicationissue3es
dc.identifier.publicationlastpage479es
dc.identifier.publicationtitleMeccanicaen
dc.identifier.publicationvolume55es
dc.identifier.urihttps://hdl.handle.net/10016/36192
dc.identifier.uxxiAR/0000025610
dc.language.isoengen
dc.publisherSpringeren
dc.relation.projectIDGobierno de España. DPI2014-57989-Pes
dc.relation.projectIDGobierno de España. PGC2018-098218-B-I00es
dc.relation.projectIDGobierno de España. BES-2015-073720es
dc.rights© The Author(s) 2020en
dc.rightsThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.ecienciaMaterialeses
dc.subject.otherConservation of energyen
dc.subject.otherIll-posednessen
dc.subject.otherNanobeamsen
dc.subject.otherNon-standard boundary conditionsen
dc.subject.otherNonlocal strain gradienten
dc.titleNon-standard and constitutive boundary conditions in nonlocal strain gradient elasticityen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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