A nonlinear theory for shells with slowly varying thickness

DOI10.1016/j.crma.2008.12.017zbMath1168.74036arXiv0804.2641OpenAlexW2963584340MaRDI QIDQ1004563

Marta Lewicka, Maria Giovanna Mora, Mohammad Reza Pakzad

Publication date: 11 March 2009

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

Full work available at URL: https://arxiv.org/abs/0804.2641

zbMATH Keywords

gamma-limitthree-dimensional nonlinear elasticity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Shells (74K25)

Related Items

The mathematics of thin structures, Reduced Theories in Nonlinear Elasticity, Geometry, analysis, and morphogenesis: Problems and prospects, The von Kármán theory for incompressible elastic shells, The time-dependent von Kármán shell equation as a limit of three-dimensional nonlinear elasticity, Relative bending energy for weakly prestrained shells, A geometrically nonlinear Cosserat (micropolar) curvy shell model via gamma convergence, Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells, A note on convergence of low energy critical points of nonlinear elasticity functionals, for thin shells of arbitrary geometry, A short note on the derivation of the elastic von Kármán shell theory, The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells, Scaling laws for non-Euclidean plates and theW^2,2isometric immersions of Riemannian metrics

Cites Work

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