Homogenization of periodically heterogeneous thin beams

DOI10.1007/s11401-018-0075-7zbMath1430.35018OpenAlexW2800720983WikidataQ129887222 ScholiaQ129887222MaRDI QIDQ1656869

Georges Griso, Bernadette Miara

Publication date: 10 August 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-0075-7

zbMATH Keywords

beamhomogenizationdimensional reductionBernoulli-Navier modelKorn's inequalities

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Asymptotic behavior of \(3D\) unstable structures made of beams ⋮ Homogenization of perforated elastic structures ⋮ Asymptotic behavior of stable structures made of beams ⋮ Asymptotic analysis for periodic perforated shells

Cites Work

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• Decompositions of displacements of thin structures
• Asymptotic behaviour of curved rods by the unfolding method
• Thin elastic and periodic plates
• ASYMPTOTIC BEHAVIOR OF STRUCTURES MADE OF CURVED RODS
• The Periodic Unfolding Method in Homogenization
• ASYMPTOTIC BEHAVIOR OF STRUCTURES MADE OF PLATES

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