Regularity of intrinsically convex \(W^{2,2}\) surfaces and a derivation of a homogenized bending theory of convex shells
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Publication:1639202
DOI10.1016/j.matpur.2018.04.008zbMath1400.53046arXiv1506.02571OpenAlexW2963233147MaRDI QIDQ1639202
Publication date: 12 June 2018
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.02571
homogenizationdimension reductionnonlinear elasticityisometric immersionspositive Gaussian curvaturebending theory
Nonlinear elasticity (74B20) Shells (74K25) Homogenization in equilibrium problems of solid mechanics (74Q05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Manifolds of mappings (58D15)
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