Bending paper and the Möbius strip
From MaRDI portal
Publication:2343267
DOI10.1007/s10659-014-9501-6zbMath1464.74025OpenAlexW1980317306MaRDI QIDQ2343267
Publication date: 4 May 2015
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-014-9501-6
Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Energy minimization in equilibrium problems in solid mechanics (74G65) Applications of differential geometry to physics (53Z05)
Related Items
A corrected Sadowsky functional for inextensible elastic ribbons ⋮ Global structure of the singular set of energy minimising bendings ⋮ Stability of boundary conditions for the Sadowsky functional ⋮ Framed curves, ribbons, and parallel transport on the sphere ⋮ Numerical Simulation of Inextensible Elastic Ribbons ⋮ One-dimensional von Kármán models for elastic ribbons ⋮ Closed unstretchable knotless ribbons and the Wunderlich functional ⋮ A Variational Model for Anisotropic and Naturally Twisted Ribbons ⋮ Stationary points of nonlinear plate theories
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximation of flat \(W ^{2,2}\) isometric immersions by smooth ones
- Fine level set structure of flat isometric immersions
- A new finite element scheme for Landau-Lifschitz equations
- On the Sobolev space of isometric immersions
- Plate theory for stressed heterogeneous multilayers of finite bending energy
- Finite element approximation of large bending isometries
- 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
- h-Principle and Rigidity for C 1,α Isometric Embeddings
- Euler-lagrange equation and regularity for flat minimizers of the Willmore functional
- On Spherical Image Maps Whose Jacobians Do Not Change Sign
- Global structure of the singular set of energy minimising bendings
- Some Rigidity Results Related to Monge–Ampèere Functions
- Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces
- Partial Differential Relations
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles
- Finite Elements
