Spatial heterogeneity in 3D-2D dimensional reduction

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dc.creatorBabadjian, Jean-Francois
dc.creatorFrancfort, Gilles A.
dc.date2006-04-26
dc.date.accessioned2026-07-07T07:11:17Z
dc.date.available2026-07-07T07:11:17Z
dc.descriptionA justification of heterogeneous membrane models as zero-thickness limits of a cylindral three-dimensional heterogeneous nonlinear hyperelastic body is proposed in the spirit of Le Dret & Raoult. Specific characterizations of the 2D elastic energy are produced. As a generalization of Bouchitté, Fonseca & Mascarenhas, the case where external loads induce a density of bending moment that produces a Cosserat vector field is also investigated. Throughout, the 3D-2D dimensional reduction is viewed as a problem of $Γ$-convergence of the elastic energy, as the thickness tends to zero.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0604556
dc.identifierhttp://arxiv.org/abs/math/0604556
dc.identifierESAIM: Cont. Opt. Calc. Var., 11 (2005) No. 1, 139-160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111698
dc.subjectAnalysis of PDEs
dc.subject49J45; 74B20; 74G65; 74K15; 74K35
dc.titleSpatial heterogeneity in 3D-2D dimensional reduction
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