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Asymptotic Analysis of Linearly Elastic Shells. II. Justification of Flexural Shell Equations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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A high order model for piezoelectric rods: An asymptotic approach
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Fluid–structure interaction in blood flow capturing non-zero longitudinal structure displacement
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Asymptotic analysis of linearly elastic elliptic membrane shells subjected to an obstacle
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A coordinate-free guide to the mechanics of thin shells
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Asymptotic analysis of three-dimensional problem of elasticity theory for radially inhomogeneous transversally-isotropic thin hollow spheres
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Mathematical Model of the Spatio-Temporal Dynamics of Second Messengers in Visual Transduction
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Relaxed exact spectral controllability of membrane shells
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Preface to Volume II11A substantial portion of this preface is an excerpt from the “Introduction” in Ciarlet & Lods [1996]
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Linearly Elastic Plates
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Analyse asymptotique des jonctions de coques en flexion
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On the Ellipticity of the Middle Surface of a Shell and its Application to the Asymptotic Analysis of ‘Membrane’ Shells
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The Generalized Membrane Problem for Linearly Elastic Shells with Hyperbolic or Parabolic-Middle Surface
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Vibrations of Thin Piezoelectric Flexural Shells: Two-Dimensional Approximation
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Justification d'un modèle linéaire bi-dimensionnel de coques «faiblement courbées» en coordonnées curvilignes
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Derivation of a poroelastic elliptic membrane shell model
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Multiscale Expansions for Linear Clamped Elliptic Shells
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The Korn's type inequality in subspaces and thin elastic structures
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Derivation of a Poroelastic Flexural Shell Model
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LINEAR CURVED ROD MODEL: GENERAL CURVE
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A SHELL CLASSIFICATION BY INTERPOLATION
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THE REISSNER–MINDLIN PLATE IS THE Γ-LIMIT OF COSSERAT ELASTICITY
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Donati compatibility conditions for membrane and flexural shells
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Derivation of a Hierarchy of Nonlinear Two-dimensional Models For Heterogeneous Plates
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Numerical simulations for the dynamics of flexural shells
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Numerical corroboration of Koiter’s model for all the main types of linearly elastic shells in the static case
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Optimal error estimates for viscoelastic Koiter shell model with time-convolution term incorporating memory effects
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From Folds to Structures, a Review
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Ein Beitrag zur Modellierung der Eigendynamik elastischer Schalen mit Hamiltonschen Strukturen
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On the asymptotic behavior of transmission thin shell problems
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Free vibrations of axisymmetric shells: Parabolic and elliptic cases
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Linear viscoelastic shells: An asymptotic approach
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Asymptotic analysis of linearly elastic shells: error estimates in the membrane case
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Error estimates between the linearized three‐dimensional shell equations and Naghdi's model
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Elasticity on a thin shell: Formal series solution
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Reduced equations for models of laminated materials in thin domains. II
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Asymptotic analysis of linearly viscoelastic shells – justification of Koiter's shell equations
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On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle
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Finite Element Method Coupling Penalty Method for Flexural Shell Model
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Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model
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Upper Bounds for Korn’s Constants in General Domains
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A Constructive Proof of Korn’s Scaled Inequalities for Shells
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Intrinsic finite element modeling of a linear membrane shell problem
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Plates with incompatible prestrain of higher order
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Mathematical justification of a viscoelastic generalized membrane problem
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Variations of thin piezoelectric shallow shells: Two-dimensional approximation
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On multiply connected mesoscopic superconducting structures
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