On the rigidity of certains surfaces with folds and applications to shell theory

DOI10.1007/BF00375125zbMath0830.73040OpenAlexW1987396046MaRDI QIDQ1891410

Enrique Sanchez-Palencia, Giuseppe Geymonat

Publication date: 8 February 1996

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00375125

zbMATH Keywords

bendingparabolic pointselliptic surfaceelliptic pointshyperbolic pointsisotropic surfacelinear Kirchhoff-Love assumptionsperfect stiffnessquasi- stiffnessShapiro-Lopatinskij boundary conditions

Mathematics Subject Classification ID

Membranes (74K15) Surfaces in Euclidean and related spaces (53A05)

Related Items

Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations ⋮ Unnamed Item ⋮ Derivation of a homogenized von-Kármán shell theory from 3D elasticity ⋮ Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells ⋮ Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for Thin Shells ⋮ Membrane locking in the finite element computation of very thin elastic shells ⋮ The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells ⋮ Stationary points of nonlinear plate theories

Cites Work

• Folded plates revisited
• The essential spectrum of elliptic systems of mixed order
• Asymptotic and spectral properties of a class of singular-stiff problems
• Interior estimates for elliptic systems of partial differential equations
• On the analyticity of the solutions of linear elliptic systems of partial differential equations
• Justification d'un modèle bi-dimensionnel non linéaire de coque analogue à celui de W.T. Koiter
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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