dc.contributor.author Velcic, I. dc.date.accessioned 2017-02-21T08:18:20Z dc.date.available 2017-02-21T08:18:20Z dc.date.issued 2012-12-31 dc.identifier.issn 1081-2865 dc.identifier.uri http://hdl.handle.net/20.500.11824/570 dc.description.abstract In this paper we derive, by means of Γ-convergence, the shallow-shell models starting from non-linear three-dimensional elasticity. We use the approach analogous to the one for shells and plates. We start from the minimization formulation of the general three-dimensional elastic body, which is subjected to normal volume forces and free boundary conditions and do not presuppose any constitutional behavior. To derive the model we need to propose how the order of magnitude of the external loads is related to the thickness of the body h, as well as to the order of the 'geometry' of the shallow shell. We analyze the situation when the external normal forces are of order hα, where α > 2. For α = 3 we obtain the Marguerre-von Kármán model and for α > 3 the linearized Marguerre-von Kármán model. For α ∈ (2,3) we are able to obtain only the lower bound for the Γ-limit. This is analogous to recent results for the ordinary shell models. dc.format application/pdf dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject asymptotic analysis dc.subject gamma convergence dc.subject Marguerre-von Kármán model dc.subject shallow shell dc.title Shallow-shell models by Γ-convergence dc.type info:eu-repo/semantics/article en_US dc.identifier.doi 10.1177/1081286511429889 dc.relation.publisherversion https://www.scopus.com/inward/record.uri?eid=2-s2.0-84869015587&doi=10.1177%2f1081286511429889&partnerID=40&md5=238322d82151a1e5b8db073aec399c72 dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/publishedVersion en_US dc.journal.title Mathematics and Mechanics of Solids en_US
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