Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: A simple energy-based approach
By D. Mousanezhad, B. Haghpanah, R. Ghosh, A. Hamouda, Hamid Nayeb-Hashemi, Ashkan Vaziri. 2016
348 citations recorded by the source corpus.
Abstract The effects of two geometric refinement strategies widespread in natural structures, chirality and self-similar hierarchy, on the in-plane elastic response of two-dimensional honeycombs were studied systematically. Simple closed-form expressions were derived for the elastic moduli of several chiral, anti-chiral, and hierarchical honeycombs with hexagon and square based networks. Finite element analysis was employed to validate the analytical estimates of the elastic moduli. The results were also compared with the numerical and experimental data available in the literature. We found that introducing a hierarchical refinement increases the Young’s modulus of hexagon based honeycombs while decreases their shear modulus. For square based honeycombs, hierarchy increases the shear modulus while decreasing their Young’s modulus. Introducing chirality was shown to always decrease the Young’s modulus and Poisson’s ratio of the structure. However, chirality remains the only route to auxeticity. In particular, we found that anti-tetra-chiral structures were capable of simultaneously exhibiting anisotropy, auxeticity, and remarkably low shear modulus as the magnitude of the chirality of the unit cell increases.
Subfields: Biomedical Engineering, Mechanical Engineering, Polymers and Plastics
View Paper: https://www.semanticscholar.org/paper/1d6d18a110f9909cb39f0fc3426eacba83a91fdc
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Citations in the corpus
- Mechanical metamaterials associated with stiffness, rigidity and compressibility: a brief review (2017, background): “Previous studies [146] found that both chirality and hierarchy crucially affect the in-plane mechanical properties of these structures.”
- Auxetic mechanical metamaterials (2017, neutral): “98,103,104 The sti ff ness of these structures has been found to increase with the number of ligaments, their length to thickness ratio and the quantity of glue used at the connecting end of the ligament in conventionally obtained structures, which in turn makes node rotation and ligament exion…”
- In-plane elasticity of a novel auxetic honeycomb design (2017, background): “[46], for cell wall aspect ratio r/L Fig.”