Application of the Bending-Gradient theory to a beam lattice

Arthur Lebée (1) , Karam Sab (1)

1 msa - Matériaux et Structures Architecturés

The Bending-Gradient theory for thick plates is the extension to heterogeneous plates of Reissner-Mindlin theory originally designed for homogeneous plates. The Bending-Gradient theory was extended to in-plane periodic structures made of connected beams (space frames) which can be considered macroscopically as a plate in [1]. 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.

Mots clés: bending-gradient theory

Domaines: Mécanique [physics]

Arthur Lebée, Karam Sab. Application of the Bending-Gradient theory to a beam lattice. 11e colloque national en calcul des structures, CSMA, May 2013, Giens, France. ⟨hal-01717097⟩