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Publication:2465678
Warning: Display title "scientific article" overrides earlier display title "Confining thin elastic sheets and folding paper". DOI10.1007/s00205-007-0076-2zbMath1127.74005OpenAlexW2010296342MaRDI QIDQ2465678
Publication date: 7 January 2008
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-007-0076-2
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Cites Work
- Unnamed Item
- Unnamed Item
- On the Sobolev space of isometric immersions
- Energy scaling of compressed elastic films -- three-dimensional elasticity and reduced theories
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- Regularity properties of isometric immersions
- Surfaces of Gaussian curvature zero in Euclidean 3-space
- \(C^1\) isometric imbeddings
- Limitations on the smooth confinement of an unstretchable manifold
- On Spherical Image Maps Whose Jacobians Do Not Change Sign
- Cylinder Buckling: The Mountain Pass as an Organizing Center
- Rigorous Derivation of Föppl’s Theory for Clamped Elastic Membranes Leads to Relaxation
- Herringbone Buckling Patterns of Compressed Thin Films on Compliant Substrates
- The von Karman equations, the stress function, and elastic ridges in high dimensions
- Lower bounds for the energy in a crumpled elastic sheet—a minimal ridge
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- The Space of Framed Functions is Contractible
