Quantitative immersability of Riemann metrics and the infinite hierarchy of prestrained shell models
From MaRDI portal
Publication:1984808
DOI10.1007/s00205-020-01500-yzbMath1433.74078arXiv1812.09850OpenAlexW3010497261MaRDI QIDQ1984808
Publication date: 7 April 2020
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.09850
Related Items (7)
The mathematics of thin structures ⋮ Geometry, analysis, and morphogenesis: Problems and prospects ⋮ On asymptotic rigidity and continuity problems in nonlinear elasticity on manifolds and hypersurfaces ⋮ A homogenized bending theory for prestrained plates ⋮ Relative bending energy for weakly prestrained shells ⋮ Derivation of a homogenized bending-torsion theory for rods with micro-heterogeneous prestrain ⋮ On the Dimension Reduction in Prestrained Elasticity (Survey)
Cites Work
- Energy scaling law for the regular cone
- Plates with incompatible prestrain
- Metric-induced wrinkling of a thin elastic sheet
- Variational models for prestrained plates with Monge-Ampère constraint.
- The Monge-Ampère constraint: matching of isometries, density and regularity, and elastic theories of shallow shells
- Shape selection in non-Euclidean plates
- The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells
- Elastic theory of unconstrained non-Euclidean plates
- On a boundary value problem for conically deformed thin elastic sheets
- Plates with incompatible prestrain of high order
- Energy scaling of compressed elastic films -- three-dimensional elasticity and reduced theories
- The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- A Riemannian approach to reduced plate, shell, and rod theories
- 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
- Curvature-driven wrinkling of thin elastic shells
- Energy estimates for the von Kármán model of thin-film blistering
- A Riemannian approach to the membrane limit in non-Euclidean elasticity
- Designing Responsive Buckled Surfaces by Halftone Gel Lithography
- Coarsening of Folds in Hanging Drapes
- The shape of a long leaf
- Shaping of Elastic Sheets by Prescription of Non-Euclidean Metrics
- Scaling laws for non-Euclidean plates and theW2,2isometric immersions of Riemannian metrics
- Optimal control of plates using incompatible strains
- 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
- Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates
This page was built for publication: Quantitative immersability of Riemann metrics and the infinite hierarchy of prestrained shell models
