The nonlinear bending-torsion theory for curved rods as Gamma-limit of three-dimensional elasticity

dc.creatorScardia, Lucia
dc.date2008-03-06
dc.date.accessioned2026-07-07T09:25:15Z
dc.date.available2026-07-07T09:25:15Z
dc.descriptionThe problem of the rigorous derivation of one-dimensional models for nonlinearly elastic curved beams is studied in a variational setting. Considering different scalings of the three-dimensional energy and passing to the limit as the diameter of the beam goes to zero, a nonlinear model for strings and a bending-torsion theory for rods are deduced.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0803.0923
dc.identifierhttp://arxiv.org/abs/0803.0923
dc.identifierAsymptot. Anal., 47(3,4), (2006) pp. 317--343
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156343
dc.subjectMathematical Physics
dc.subjectCommutative Algebra
dc.subject74K10; 49J45
dc.titleThe nonlinear bending-torsion theory for curved rods as Gamma-limit of three-dimensional elasticity
dc.typetext

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