Asymptotic models for curved rods derived from nonlinear elasticity by Gamma-convergence

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dc.creatorScardia, Lucia
dc.date2008-03-06
dc.date.accessioned2026-07-07T09:25:15Z
dc.date.available2026-07-07T09:25:15Z
dc.descriptionWe study the problem of the rigorous derivation of one-dimensional models for a thin curved beam starting from three-dimensional nonlinear elasticity. We describe the limiting models obtained for different scalings of the energy. In particular, we prove that the limit functional corresponding to higher scalings coincides with the one derived by dimension reduction starting from linearized elasticity. Finally we also address the case of thin elastic rings.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0803.0927
dc.identifierhttp://arxiv.org/abs/0803.0927
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156344
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject74K10; 49J45
dc.titleAsymptotic models for curved rods derived from nonlinear elasticity by Gamma-convergence
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