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dc.contributor.authorVelcic, I.
dc.date.accessioned2017-02-21T08:18:19Z
dc.date.available2017-02-21T08:18:19Z
dc.date.issued2012-12-31
dc.identifier.issn0374-3535
dc.identifier.urihttp://hdl.handle.net/20.500.11824/567
dc.description.abstractWe present a nonlinear model of weakly curved rod, namely the type of curved rod where the curvature is of the order of the diameter of the cross-section. We use an approach analogous to the one for rods and curved rods and start from the strain energy functional of three dimensional nonlinear elasticity. We do not impose any constitutional behavior of the material and work in a general framework. To derive the model, by means of Γ-convergence, we need to set the order of strain energy (i.e., its relation to the thickness of the body h). We analyze the situation when the strain energy (divided by the order of volume) is of the order h 4. This is the same approach as the one used in Föppl-von Kármán model for plates and the analogous model for rods. The obtained model is analogous to Marguerre-von Kármán for shallow shells and its linearization is the linear shallow arch model which can be found in the literature.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectAsymptotic analysis
dc.subjectGamma convergence
dc.subjectShallow arch
dc.subjectWeakly curved rod
dc.titleNonlinear weakly curved rod by Γ-Convergence
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s10659-011-9358-x
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84863719912&doi=10.1007%2fs10659-011-9358-x&partnerID=40&md5=a6782f61b76697c62d83cadb086b16ff
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleJournal of Elasticityen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España