Topology optimization of periodic beam lattices using Cosserat elasticity - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Computers & Structures Année : 2023

Topology optimization of periodic beam lattices using Cosserat elasticity

Résumé

This paper presents a novel method based on the Cosserat theory to optimize the topology of slender metamaterials. First, we compared the optimal topology of discrete Euler-Bernoulli beam lattices with counterparts obtained using the homogenized Cosserat theory. We investigated the effect of material and numerical parameters on the optimization results and the global stiffness. Finally, the paper highlights the importance of second-order models for slender lattice structures through different macroscopic geometries. For the first time, we presented an excellent quantitative agreement between continuum Cosserat and discrete beam results. We demonstrated that the Cosserat theory is necessary and sufficient to optimize slender, lightweight designs with lattice-based microstructures. Furthermore, the results showed that the locally allowed volume fraction was the most critical limiting parameter when maximizing global stiffness. Finally, we found that the reinforced honeycomb lattice is the stiffest microstructure for a given mass among the investigated forms.
Fichier principal
Vignette du fichier
Manuscript.pdf (2.85 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03831937 , version 1 (27-10-2022)

Identifiants

Citer

Gergely Molnár, Nawfal Blal. Topology optimization of periodic beam lattices using Cosserat elasticity. Computers & Structures, 2023, 281, pp.107037. ⟨10.1016/j.compstruc.2023.107037⟩. ⟨hal-03831937⟩
70 Consultations
100 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More