Rigorous derivation of nonlinear plate theory and geometric rigidity
type: Item
instance of: scholarly article
title: Rigorous derivation of nonlinear plate theory and geometric rigidity
zbMATH Open document ID: 1012.74043
DOI: 10.1016/S1631-073X(02)02133-7
author: Gero Friesecke
author: Stefan Müller
author: Richard D. James
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2002-05-22T00:00:00Z
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 35Q72
zbMATH DE Number: 1744374
zbMATH Keywords: gamma-convergence
zbMATH Keywords: nonlinear plate theory
zbMATH Keywords: three-dimensional nonlinear elasticity
zbMATH Keywords: rigidity estimate
MaRDI profile type: Publication
cites work: Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates
cites work: Q3992497
cites work: An introduction to \(\Gamma\)-convergence
cites work: Q4107534
cites work: Q3134551
cites work: Energy estimates for the von Kármán model of thin-film blistering
cites work: Rotation and strain
cites work: Q4043701
cites work: New integral estimates for deformations in terms of their nonlinear strains
cites work: Q3683006
cites work: Q3142983
cites work: The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
cites work: The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
cites work: Q4146111
cites work: Q5719600
cites work: On the justification of the nonlinear inextensional plate model
cites work: On the stability of conformal mappings in multidimensional spaces
cites work: Q3966739
cites work: Weakly Differentiable Functions
full work available at URL: s1631-073x(02)02133-7
OpenAlex ID: W1985153795
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description: scientific article; zbMATH DE number 1744374