Homogenized behaviour of a beam with a multicellular cross section

DOI10.1080/00036819008839956zbMath0684.73005OpenAlexW1999405017WikidataQ58158918 ScholiaQ58158918MaRDI QIDQ4734819

M. Luísa Mascarenhas, L. Trabucho

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00036819008839956

zbMATH Keywords

limit behaviourshearhomogenization techniqueslinearly elastic beamgeneralization of Saint Venant's and Timoshenko's beam theoriesinplane stress fieldsthree- dimensional elasticity model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Inhomogeneity in solid mechanics (74E05)

Related Items

Homogenization and a galerkin approximation in three–dimensional beam theory, Homogenization of the torsion problem with quasiperiodic structure, The warping, the torsion and the Neumann problems in a quasi-periodically perforated domain

Cites Work

• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods
• Homogenization in open sets with holes
• Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
• A justification of the one‐dimensional linear model of elastic beam