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On the ellipticity of linear shell models

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160180120openalex-snapshot
Estimates for the derivatives of the stresses in a thin shell and interior shell equations
inferredcites →https://doi.org/10.1002/cpa.3160240502openalex-snapshot
Refined interior equations for thin elastic shells
inferredcites →https://doi.org/10.1002/cpa.3160450305openalex-snapshot
Justification of the two‐dimensional equations of a linearly elastic shallow shell
inferredcites →https://doi.org/10.1007/978-1-4899-3514-4_2openalex-snapshot
Doctoral Dissertation
inferredcites →https://doi.org/10.1007/978-3-662-39776-3_5openalex-snapshot
The Theory of Shells and Plates
inferredcites →https://doi.org/10.1007/978-94-017-5352-4openalex-snapshot
Thin Shell Theory
inferredcites →https://doi.org/10.1007/bf02293490openalex-snapshot
A classification of thin shell theories
inferredcites →https://doi.org/10.1016/s1385-7258(66)50001-4openalex-snapshot
Algebraic Independence of Certain Zêta Functions
inferredcites →https://doi.org/10.1051/m2an/1978120100511openalex-snapshot
Théorème d'existence et d'unicité pour un problème de coque élastique dans le cas d'un modèle linéaire de P. M. Naghdi
inferredcites →https://doi.org/10.1115/1.3167757openalex-snapshot
Mathematical Foundations of Elasticity
inferredcites →https://doi.org/10.1115/1.3625865openalex-snapshot
Progress in Solid Mechanics, vol. 4
inferredcites →https://doi.org/10.14492/hokmj/1381517172openalex-snapshot
On the equations rot v=g and div u=f with zero boundary conditions
inferredcites →https://doi.org/10.2307/2005636openalex-snapshot
Les Inequations en Mecanique et en Physique

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/(sici)1099-1506(199809/10)5:5<401::aid-nla140>3.0.co;2-7openalex-snapshot
Parallel multilevel preconditioners for thin smooth shell finite element analysis
inferred← citeshttps://doi.org/10.1002/0470091355.ecm015openalex-snapshot
Plates and Shells: Asymptotic Expansions and Hierarchic Models
inferred← citeshttps://doi.org/10.1007/978-3-211-85430-3_5openalex-snapshot
A brief introduction to mathematical shell theory
inferred← citeshttps://doi.org/10.1007/978-3-642-60550-5_16openalex-snapshot
Deformation einer elastischen Flexlippe
inferred← citeshttps://doi.org/10.1007/978-3-642-78502-3_25openalex-snapshot
Mathematical Shell Theory: Recent Developments and Open Problems
inferred← citeshttps://doi.org/10.1007/bf00041188openalex-snapshot
Existence theorems for two-dimensional linear shell theories
inferred← citeshttps://doi.org/10.1007/bf00042508openalex-snapshot
Asymptotic analysis of linearly elastic shells: ?Generalized membrane shells?
inferred← citeshttps://doi.org/10.1007/bf02316976openalex-snapshot
Asymptotic Analysis of Linearly Elastic Shells. II. Justification of Flexural Shell Equations
inferred← citeshttps://doi.org/10.1007/bf02316977openalex-snapshot
Asymptotic Analysis of Linearly Elastic Shells. III. Justification of Koiter's Shell Equations
inferred← citeshttps://doi.org/10.1007/bf02830891openalex-snapshot
Existence theory for linearly elastic shells
inferred← citeshttps://doi.org/10.1016/j.matpur.2005.10.010openalex-snapshot
A nonlinear Korn inequality on a surface
inferred← citeshttps://doi.org/10.1016/s0168-2024(00)80021-1openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s0764-4442(97)86955-8openalex-snapshot
Existence et unicité pour le modéle de Nagdhi pour une coque peu réguliére
inferred← citeshttps://doi.org/10.1023/a:1015270504666openalex-snapshot
inferred← citeshttps://doi.org/10.1051/m2an/1996300404671openalex-snapshot
A regularity result for a linear membrane shell problem
inferred← citeshttps://doi.org/10.1051/m2an/2020067openalex-snapshot
Asymptotic analysis for periodic perforated shells
inferred← citeshttps://doi.org/10.1088/1742-6596/1236/1/012065openalex-snapshot
A functional-type a posteriori error estimate for a linear Koiter’s shell
inferred← citeshttps://doi.org/10.1090/qam/1686192openalex-snapshot
Existence and uniqueness for the linear Koiter model for shells with little regularity
inferred← citeshttps://doi.org/10.1142/9789812771476_0002openalex-snapshot
An Introduction to Shell Theory
inferred← citeshttps://doi.org/10.1142/s0218202501001379openalex-snapshot
ON KORN'S INEQUALITIES IN CURVILINEAR COORDINATES
inferred← citeshttps://doi.org/10.1142/s0219530503000065openalex-snapshot
A SIMPLE PROOF OF THE ELLIPTICITY OF KOITER'S MODEL
inferred← citeshttps://doi.org/10.1142/s0219530515500049openalex-snapshot
On Korn’s inequalities on a surface
inferred← citeshttps://doi.org/10.18419/opus-4638openalex-snapshot
Ein Beitrag zur Modellierung der Eigendynamik elastischer Schalen mit Hamiltonschen Strukturen
inferred← citeshttps://doi.org/10.70675/a7db3b2ez8b8cz48ffz83a5z62efa1a763aeopenalex-snapshot
Modelling, analysis and numerical simulation of a poroelastic shell and its interaction with a fluid
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