Asymptotic behavior for textiles in von-Kármán regime

DOI10.1016/j.matpur.2020.10.002zbMath1452.35020arXiv1912.10928OpenAlexW3094615230MaRDI QIDQ2212109

Stephan Wackerle, Georges Griso, Julia Orlik

Publication date: 18 November 2020

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10928

zbMATH Keywords

dimension reductionperiodic unfolding methodbuckling under homogenized pre-strainenergy minimization under pre-strainvon-Kármán orthotropic plate

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Monotone operators and generalizations (47H05) Classical linear elasticity (74B05) Plates (74K20) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items

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 ⋮ Periodic unfolding for anisotropically bounded sequences ⋮ Asymptotic behavior of stable structures made of beams ⋮ Asymptotic Behavior for Textiles ⋮ Asymptotic analysis for periodic perforated shells

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