The one-dimensional model for \(d\)-cones revisited

DOI10.1515/acv-2014-0031zbMath1344.49020arXiv1409.3043OpenAlexW2963219831MaRDI QIDQ2629556

Heiner Olbermann

Publication date: 6 July 2016

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3043

zbMATH Keywords

nonlinear elasticityminimizer\(\Gamma\)-convergencehollow cylinderelastic sheet\(d\)-cone

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (3)

Mathematical Problems in Thin Elastic Sheets: Scaling Limits, Packing, Crumpling and Singularities ⋮ An obstacle problem for conical deformations of thin elastic sheets ⋮ Distributed branch points and the shape of elastic surfaces with constant negative curvature

Cites Work

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• LYUSTERNIK'S THEOREM AND THE THEORY OF EXTREMA
• Lower bounds for the energy in a crumpled elastic sheet—a minimal ridge
• Confined developable elastic surfaces: cylinders, cones and the Elastica

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