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Article Dans Une Revue Computers & Structures Année : 2013

Homogenization of a space frame as a thick plate: Application of the Bending-Gradient theory to a beam lattice

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Arthur Lebée
Karam Sab

Résumé

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.
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Dates et versions

hal-00938967 , version 1 (29-01-2014)

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  • HAL Id : hal-00938967 , version 1

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Arthur Lebée, Karam Sab. Homogenization of a space frame as a thick plate: Application of the Bending-Gradient theory to a beam lattice. Computers & Structures, 2013, pp.88-101. ⟨hal-00938967⟩
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