Strong convergence results for the asymptotic behavior of the 3D-shell model

DOI10.1007/s10659-013-9452-3zbMath1412.74047OpenAlexW2077806111MaRDI QIDQ464312

Dominique Chapelle, Annabelle Collin

Publication date: 17 October 2014

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-00843766/file/3DshellPaper.pdf

zbMATH Keywords

bendingasymptotic analysis

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Modelling of thin viscoelastic shell structures under Reissner-Mindlin kinematic assumption ⋮ The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation ⋮ An existence theorem for a two-dimensional nonlinear shell model of Koiter’s type ⋮ A non-standard finite element method for dynamical behavior of cylindrical classical shell model

Cites Work

• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
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• On the physical significance of higher-order kinematic and static variables in a three-dimensional shell formulation
• 3D-SHELL ELEMENTS AND THEIR UNDERLYING MATHEMATICAL MODEL
• The Finite Element Analysis of Shells - Fundamentals
• Fundamental considerations for the finite element analysis of shell structures
• Asymptotic consistency of the polynomial approximation in the linearized plate theory
• The treatment of “pinching locking” in3D-shell elements
• The mathematical shell model underlying general shell elements
• An asymptotically optimal model for isotropic heterogeneous linearly elastic plates
• Fourier mode analysis of layers in shallow shell deformations
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