Saint-Venant's theory for beams with multi-connected cross-section: Justification and error estimate

DOI10.3233/ASY-2010-1013zbMath1370.74087MaRDI QIDQ3082147

Roberto Paroni, Lorenzo Freddi, François Murat

Publication date: 9 March 2011

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

zbMATH Keywords

dimension reductionerror estimatebeamsSaint-Venant theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (4)

Non-local effects by homogenization or 3D-1D dimension reduction in elastic materials reinforced by stiff fibers ⋮ A justification of the Timoshenko beam model through Γ-convergence ⋮ Residually stressed beams ⋮ Linear models of a stiffened plate via \(\Gamma \)-convergence

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