Continuation of Infinitesimal Bendings on Developable Surfaces and Equilibrium Equations for Nonlinear Bending Theory of Plates
From MaRDI portal
Publication:2855215
DOI10.1080/03605302.2013.795967zbMath1456.74016OpenAlexW2085871495MaRDI QIDQ2855215
Publication date: 24 October 2013
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605302.2013.795967
Nonlinear elasticity (74B20) Plates (74K20) Applications of differential geometry to physics (53Z05)
Related Items (6)
Global structure of the singular set of energy minimising bendings ⋮ Geometry, analysis, and morphogenesis: Problems and prospects ⋮ Derivation of a homogenized von-Kármán shell theory from 3D elasticity ⋮ The Monge-Ampère constraint: matching of isometries, density and regularity, and elastic theories of shallow shells ⋮ On material optimisation for nonlinearly elastic plates and shells ⋮ Stationary points of nonlinear plate theories
Cites Work
- Approximation of flat \(W ^{2,2}\) isometric immersions by smooth ones
- Fine level set structure of flat isometric immersions
- The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells
- Elastic theory of unconstrained non-Euclidean plates
- On rigid and infinitesimal rigid displacements in shell theory.
- On the Sobolev space of isometric immersions
- Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- ON RIGID AND INFINITESIMAL RIGID DISPLACEMENTS IN THREE-DIMENSIONAL ELASTICITY
- Euler-lagrange equation and regularity for flat minimizers of the Willmore functional
- On Spherical Image Maps Whose Jacobians Do Not Change Sign
- Weakly Differentiable Functions
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- The Weyl and Minkowski problems in differential geometry in the large
- Unnamed Item
- Unnamed Item
This page was built for publication: Continuation of Infinitesimal Bendings on Developable Surfaces and Equilibrium Equations for Nonlinear Bending Theory of Plates