Shell theories arising as low energy Γ-limit of 3d nonlinear elasticity

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dc.creatorLewicka, Marta
dc.creatorMora, Maria Giovanna
dc.creatorPakzad, Mohammad Reza
dc.date2008-03-04
dc.date.accessioned2026-07-07T09:24:31Z
dc.date.available2026-07-07T09:24:31Z
dc.descriptionWe discuss the limiting behavior (using the notion of Γ-limit) of the 3d nonlinear elasticity for thin shells around an arbitrary smooth 2d surface. In particular, under the assumption that the elastic energy of deformations scales like h^4 (where h is the thickness of a shell), we derive a limiting theory which is a generalization of the von Kármán theory for plates.
dc.description36 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0803.0358
dc.identifierhttp://arxiv.org/abs/0803.0358
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156122
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.subject74K20, 74B20
dc.titleShell theories arising as low energy Γ-limit of 3d nonlinear elasticity
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