Thin-walled beams: the case of the rectangular cross-section

DOI10.1007/s10659-004-7193-zzbMath1060.74034OpenAlexW1988221005MaRDI QIDQ1774160

Lorenzo Freddi, Roberto Paroni, Antonino Morassi

Publication date: 29 April 2005

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-004-7193-z

zbMATH Keywords

dimension reductiongamma-convergence

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)

Related Items (15)

NONLINEAR THIN-WALLED BEAMS WITH A RECTANGULAR CROSS-SECTION — PART I ⋮ Thin walled beams with residual stress ⋮ Constitutive and geometric nonlinear models for the seismic analysis of RC structures with energy dissipators ⋮ Thin-walled beams: A derivation of Vlassov theory via \(\Gamma\)-convergence ⋮ A third gradient elastic material resulting from the homogenization of a von Kármán ribbon‐reinforced composite ⋮ A model of joined beams as limit of a 2D plate ⋮ Residually stressed beams ⋮ On the Variational Derivation of the Kinematics for Thin-Walled Closed Section Beams ⋮ Homogenization of rectangular cross-section fibre-reinforced materials: bending-torsion effects ⋮ On variational dimension reduction in structure mechanics ⋮ NONLINEAR THIN-WALLED BEAMS WITH A RECTANGULAR CROSS-SECTION — PART II ⋮ Asymptotically exact Korn's constant for thin cylindrical domains ⋮ An asymptotic approach to the torsion problem in thin walled beams ⋮ Linear models of a stiffened plate via \(\Gamma \)-convergence ⋮ On Korn’s constant for thin cylindrical domains

Cites Work

• An introduction to \(\Gamma\)-convergence
• Thin notched beams
• Torsion of thin tubes: A justification of some classical results
• Torsion of thin tubes with multicell cross-section
• On the dependence of the constant in Korn's inequality on parameters characterizing the geometry of the region
• On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
• An Asymptotic Analysis of the Flexure Problem for Thin Tubes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Thin-walled beams: the case of the rectangular cross-section