Global structure of the singular set of energy minimising bendings

DOI10.1088/0951-7715/28/11/3821zbMath1328.74056OpenAlexW2281417437MaRDI QIDQ3458790

Anna Dall'Acqua, Peter Hornung

Publication date: 23 December 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/28/11/3821

zbMATH Keywords

nonlinear elasticityisometric immersionsplate theory

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (2)

On singularities of stationary isometric deformations ⋮ Bending paper and the Möbius strip

Cites Work

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• Approximation of flat \(W ^{2,2}\) isometric immersions by smooth ones
• Fine level set structure of flat isometric immersions
• On the Sobolev space of isometric immersions
• Bending paper and the Möbius strip
• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• Regularity properties of isometric immersions
• Continuation of Infinitesimal Bendings on Developable Surfaces and Equilibrium Equations for Nonlinear Bending Theory of Plates
• Euler-lagrange equation and regularity for flat minimizers of the Willmore functional
• On Spherical Image Maps Whose Jacobians Do Not Change Sign

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