Energy scaling laws for conically constrained thin elastic sheets

DOI10.1007/S10659-012-9420-3zbMath1329.74096OpenAlexW2006906080MaRDI QIDQ377702

Robert V. Kohn, Hoai-Minh Nguyen, Jeremy Brandman

Publication date: 7 November 2013

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://infoscience.epfl.ch/record/214986/files/Nguyen-Brandman-Kohn.pdf

zbMATH Keywords

asymptotic lower boundasymptotic upper boundminimum elastic energy

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Bifurcation and buckling (74G60)

Related Items (17)

Energy scaling law for the regular cone ⋮ Mathematical Problems in Thin Elastic Sheets: Scaling Limits, Packing, Crumpling and Singularities ⋮ The one-dimensional model for \(d\)-cones revisited ⋮ On a boundary value problem for conically deformed thin elastic sheets ⋮ Capillary-induced deformations of a thin elastic sheet ⋮ Variational competition between the full Hessian and its determinant for convex functions ⋮ Symmetry breaking in indented elastic cones ⋮ Coarsening of Folds in Hanging Drapes ⋮ On singularities of stationary isometric deformations ⋮ Conical singularities in thin elastic sheets ⋮ Metric-induced wrinkling of a thin elastic sheet ⋮ An obstacle problem for conical deformations of thin elastic sheets ⋮ The shape of low energy configurations of a thin elastic sheet with a single disclination ⋮ Energy scaling law for a single disclination in a thin elastic sheet ⋮ Blister Patterns and Energy Minimization in Compressed Thin Films on Compliant Substrates ⋮ Variational Problems for Föppl--von Kármán Plates ⋮ The transition between planar and wrinkled regions in a uniaxially stretched thin elastic film

Cites Work

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• Energy scaling of compressed elastic films -- three-dimensional elasticity and reduced theories
• Conical singularities in thin elastic sheets
• Confining thin elastic sheets and folding paper
• Stress focusing in elastic sheets
• Crumpled paper
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
• Confined developable elastic surfaces: cylinders, cones and the Elastica

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