Approximating \(W^{2,2}\) isometric immersions

DOI10.1016/j.crma.2008.01.001zbMath1149.46030OpenAlexW2009687970MaRDI QIDQ2472986

Peter Hornung

Publication date: 25 February 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.01.001

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Global differential geometry (53C99)

Related Items (8)

Simulating Self-Avoiding Isometric Plate Bending ⋮ Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells ⋮ Sobolev spaces of isometric immersions of arbitrary dimension and co-dimension ⋮ Approximation of flat \(W ^{2,2}\) isometric immersions by smooth ones ⋮ The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells ⋮ Bending of thin periodic plates ⋮ \(\Gamma \)-convergence for incompressible elastic plates ⋮ Minimizers of Kirchhoff's plate functional: Euler-Lagrange equations and regularity

Cites Work

• Derivation of a plate theory for incompressible materials
• On the justification of the nonlinear inextensional plate model
• Rigorous derivation of nonlinear plate theory and geometric rigidity
• On the Sobolev space of isometric immersions
• Regularity properties of isometric immersions
• Une justification partielle du modèle de plaque en flexion par -convergence
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
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