Abstract : The Bending-Gradient theory for thick plates is the extension to heterogeneous plates of Reissner-Mindlin theory originally designed for homogeneous plates. In this paper the Bending-Gradient theory is extended to in-plane periodic structures made of connected beams (space frames) which can be considered macroscopically as a plate. Its application to a square beam lattice reveals that classical Reissner-Mindlin theory cannot properly model such microstructures. Comparisons with exact solutions show that only the Bending-Gradient theory captures second order effects in both deflection and local stress fields.
https://hal-enpc.archives-ouvertes.fr/hal-00938967
Contributeur : Arthur Lebée <>
Soumis le : mercredi 29 janvier 2014 - 17:34:44 Dernière modification le : mardi 8 décembre 2020 - 10:21:03 Archivage à long terme le : : mercredi 30 avril 2014 - 09:20:10
Arthur Lebée, Karam Sab. Homogenization of a space frame as a thick plate: Application of the Bending-Gradient theory to a beam lattice. Computers and Structures, Elsevier, 2013, pp.88-101. ⟨hal-00938967⟩