Energy scaling law for a single disclination in a thin elastic sheet
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Publication:524313
DOI10.1007/s00205-017-1093-4zbMath1397.35305arXiv1509.07378OpenAlexW2963017577MaRDI QIDQ524313
Publication date: 2 May 2017
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.07378
Nonlinear elasticity (74B20) Plates (74K20) A priori estimates in context of PDEs (35B45) Membranes (74K15) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (10)
Mathematical Problems in Thin Elastic Sheets: Scaling Limits, Packing, Crumpling and Singularities ⋮ On the role of curvature in the elastic energy of non-Euclidean thin bodies ⋮ Singular points and singular curves in von Kármán elastic surfaces ⋮ On a boundary value problem for conically deformed thin elastic sheets ⋮ Variational competition between the full Hessian and its determinant for convex functions ⋮ Symmetry breaking in indented elastic cones ⋮ The shape of low energy configurations of a thin elastic sheet with a single disclination ⋮ Reshetnyak rigidity for Riemannian manifolds ⋮ Singular points and singular curves in von Kármán elastic surfaces ⋮ Variational Problems for Föppl--von Kármán Plates
Cites Work
- Energy scaling law for the regular cone
- Energy scaling laws for conically constrained thin elastic sheets
- Shape selection in non-Euclidean plates
- Approximation of flat \(W ^{2,2}\) isometric immersions by smooth ones
- Stability of slender bodies under compression and validity of the von Kármán theory
- Morphogenesis of thin hyperelastic plates: A constitutive theory of biological growth in the Föppl-von Kármán limit
- Elastic theory of unconstrained non-Euclidean plates
- Mechanics and physics of disclinations in solids
- Elliptic partial differential equations of second order
- On the Sobolev space of isometric immersions
- Metric description of singular defects in isotropic materials
- Conical singularities in thin elastic sheets
- Confining thin elastic sheets and folding paper
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- \(C^1\) isometric imbeddings
- Designing Responsive Buckled Surfaces by Halftone Gel Lithography
- Stress focusing in elastic sheets
- Shaping of Elastic Sheets by Prescription of Non-Euclidean Metrics
- Scaling laws for non-Euclidean plates and theW2,2isometric immersions of Riemannian metrics
- Crumpled paper
- 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
- Defects and boundary layers in non-Euclidean plates
- Riemann–Cartan geometry of nonlinear disclination mechanics
- Almost Conical Deformations of Thin Sheets with Rotational Symmetry
- Confined developable elastic surfaces: cylinders, cones and the Elastica
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