Optimal fractal-like hierarchical honeycombs - INRAE - Institut national de recherche pour l’agriculture, l’alimentation et l’environnement Access content directly
Journal Articles Physical Review Letters Year : 2014

Optimal fractal-like hierarchical honeycombs


Hexagonal honeycomb structures are known for their high strength and low weight. We construct a new class of fractal-appearing cellular metamaterials by replacing each three-edge vertex of a base hexagonal network with a smaller hexagon and iterating this process. The mechanical properties of the structure after different orders of the iteration are optimized. We find that the optimal structure (with highest in-plane stiffness for a given weight ratio) is self-similar but requires higher order hierarchy as the density vanishes. These results offer insights into how incorporating hierarchy in the material structure can create low-density metamaterials with desired properties and function.
No file

Dates and versions

hal-02634452 , version 1 (27-05-2020)



Ramin Oftadeh, Babak Haghpanah, Dominic Vella, Arezki Boudaoud, Ashkan Vaziri. Optimal fractal-like hierarchical honeycombs. Physical Review Letters, 2014, 113 (10), ⟨10.1103/PhysRevLett.113.104301⟩. ⟨hal-02634452⟩
21 View
0 Download



Gmail Facebook X LinkedIn More