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Asymptotic Analysis of Linearly Elastic Shells. I. Justification of Membrane 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 boundary‐layer theory for elastic plates
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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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Estimates for the derivatives of the stresses in a thin shell and interior shell equations
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Refined interior equations for thin elastic shells
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Justification of the two‐dimensional equations of a linearly elastic shallow shell
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The effect of a thin inclusion of high rigidity in an elastic body
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On a free boundary value problem of physical geodesy, II (existence)
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Problèmes sensitifs et coques élastiques minces
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Foundations of shell theory
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The Theory of Shells and Plates
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The principles of reducing three-dimensional problems of elasticity to two-dimensional problems of the theory of plates and shells
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Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods
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An exact derivation of the thin plate equation
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Existence theorems for two-dimensional linear shell theories
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Dynamical models for plates and membranes. An asymptotic approach
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A variational definition of the strain energy for an elastic string
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Asymptotic analysis of linearly elastic shells: ?Generalized membrane shells?
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Asymptotic models for a long, elastic cylinder
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A justification of the von Kármán equations
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Ordinary differential equations of non-linear elasticity I: Foundations of the theories of non-linearly elastic rods and shells
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A justification of the Marguerre-von K�rm�n equations
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Convexity conditions and existence theorems in nonlinear elasticity
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Saint-Venant's problem and semi-inverse solutions in nonlinear elasticity
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Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory
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Optimal spectral approximation in linearized plate theory
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A new model for nonlinear elastic plates with rapidly varying thickness
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Revista Matematica De La Universidad Complutense De Madrid
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A bound on the error in plate theory
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Asymptotic thermoelastic behavior of flat plates
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ERROR ANALYSIS OF MIXED-INTERPOLATED ELEMENTS FOR REISSNER-MINDLIN PLATES
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Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
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A justification of a non-linear model of spherical shell
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Justification of the asymptotic analysis of elastic plates, I. The linear case
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Dimension reduction in variational problems, asymptotic development in Γ-convergence and thin structures in elasticity
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Justification of the asymptotic analysis of elastic plates, II. The non-linear case
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Convergence of displacements and stresses in linearly elastic slender rods as the thickness goes to zero
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Asymptotic analysis of linearly elastic shells
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Asymptotics of arbitrary order for a thin elastic clamped plate, I. Optimal error estimates
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Two-dimensional model for the combined bending, stretching and transverse shearing of laminated plates derived from three-dimensional elasticity
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Two-dimensional model of order h 5 for the combined bending, stretching, transverse shearing and transverse normal stress effect of homogeneous plates derived from three-dimensional elasticity
inferred← citeshttps://doi.org/10.1177/1081286512470676openalex-snapshot
Two-dimensional model for the combined bending, stretching and shearing of shells: A general approach and application to laminated cylindrical shells derived from three-dimensional elasticity
inferred← citeshttps://doi.org/10.1177/1081286514542117openalex-snapshot
A fifth-order model for shells which combines bending, stretching and transverse shearing deduced from three-dimensional elasticity
inferred← citeshttps://doi.org/10.1177/1081286518800164openalex-snapshot
An obstacle problem for elliptic membrane shells
inferred← citeshttps://doi.org/10.1177/1081286519825979openalex-snapshot
An obstacle problem for Koiter’s shells
inferred← citeshttps://doi.org/10.1177/1081286519876322openalex-snapshot
An existence and uniqueness theorem for the dynamics of flexural shells
inferred← citeshttps://doi.org/10.1177/1081286519891230openalex-snapshot
Numerical simulations for the dynamics of flexural shells
inferred← citeshttps://doi.org/10.1177/10812865221137061openalex-snapshot
Derivation of an elastic shell model of order hn as n tends to infinity
inferred← citeshttps://doi.org/10.1177/10812865231162049openalex-snapshot
Numerical corroboration of Koiter’s model for all the main types of linearly elastic shells in the static case
inferred← citeshttps://doi.org/10.1177/10812865251401622openalex-snapshot
Optimal error estimates for viscoelastic Koiter shell model with time-convolution term incorporating memory effects
inferred← citeshttps://doi.org/10.1177/108128659700200208openalex-snapshot
Remarks on Nonlinear Membrane Shell Problems
inferred← citeshttps://doi.org/10.1177/108128659800300304openalex-snapshot
Two-Dimensional Models of Linearly Elastic Shells: Error Estimates between Their Solutions
inferred← citeshttps://doi.org/10.1177/108128659900400403openalex-snapshot
Two-Dimensional Approximation of Eigenvalue Problems in Shallow Shell Theory
inferred← citeshttps://doi.org/10.1260/0266-3511.30.2.55openalex-snapshot
From Folds to Structures, a Review
inferred← citeshttps://doi.org/10.3233/asy-171426openalex-snapshot
Free vibrations of axisymmetric shells: Parabolic and elliptic cases
inferred← citeshttps://doi.org/10.3233/asy-171455openalex-snapshot
Linear viscoelastic shells: An asymptotic approach
inferred← citeshttps://doi.org/10.3934/dcds.2021145openalex-snapshot
On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle
inferred← citeshttps://doi.org/10.4208/aamm.oa-2020-0304openalex-snapshot
Finite Element Method Coupling Penalty Method for Flexural Shell Model
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