Asymptotic analysis for periodic perforated shells

DOI10.1051/m2an/2020067zbMath1470.35037OpenAlexW2958913579MaRDI QIDQ5006298

Julia Orlik, Georges Griso, Michael Hauck

Publication date: 13 August 2021

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2020067

zbMATH Keywords

linear elasticitydimension reductionshellperforated domains

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Shells (74K25) Variational methods for elliptic systems (35J50) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

Asymptotic behavior of \(3D\) unstable structures made of beams ⋮ Asymptotic behavior for textiles with loose contact ⋮ On the ultimate strength of heterogeneous slender structures based on multi-scale stress decomposition ⋮ Symbolic homogenization and structure optimization for a periodically perforated cylindrical shell ⋮ Periodic unfolding for anisotropically bounded sequences ⋮ Asymptotic behavior of stable structures made of beams ⋮ Asymptotic Behavior for Textiles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Decomposition of the deformations of a thin shell. Asymptotic behavior of the Green-St Venant's strain tensor
• Non-homogeneous media and vibration theory
• On the ellipticity of linear shell models
• Exact controllability of a Koiter shell by a boundary action
• Existence theorems for two-dimensional linear shell theories
• Homogenization of periodically heterogeneous thin beams
• Asymptotic behavior for textiles in von-Kármán regime
• Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations
• Decompositions of displacements of thin structures
• Asymptotic behaviour of curved rods by the unfolding method
• Thin elastic and periodic plates
• DECOMPOSITION OF DEFORMATIONS OF THIN RODS: APPLICATION TO NONLINEAR ELASTICITY
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• The Periodic Unfolding Method
• The Periodic Unfolding Method in Homogenization
• Homogenization of thin piezoelectric perforated shells

This page was built for publication: Asymptotic analysis for periodic perforated shells