Twisting a thin periodically perforated elastic rod

DOI10.1080/00036810903042216zbMath1184.35034OpenAlexW2022959581WikidataQ58254118 ScholiaQ58254118MaRDI QIDQ3653307

Andrey L. Piatnitski, Annette Meidell, Dag Lukkassen, Alexei S. Shamaev

Publication date: 22 December 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903042216

zbMATH Keywords

finite element methodasymptotic expansionnumerical simulationauxiliary problem

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)

Cites Work

• On the asymptotic behaviour at infinity of solutions in linear elasticity
• On the Korn inequalities on thin periodic frames
• Asymptotic behaviour of curved rods by the unfolding method
• Homogenization of elasticity problems on singular structures

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