Asymptotic Behavior for Textiles

DOI10.1137/19M1288693zbMath1439.35039MaRDI QIDQ4960428

Julia Orlik, Stephan Wackerle, Georges Griso

Publication date: 16 April 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

linear elasticityvariational inequalitydimension reductioncontactperiodic unfolding methodLeray-Lions problemstructure of beams

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 ⋮ Symbolic homogenization and structure optimization for a periodically perforated cylindrical shell ⋮ Decomposition of plate displacements via Kirchhoff–Love displacements ⋮ Periodic unfolding for anisotropically bounded sequences ⋮ Homogenization of perforated elastic structures ⋮ Asymptotic behavior for textiles in von-Kármán regime ⋮ Asymptotic behavior of stable structures made of beams

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