Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: A simple energy-based approach
Author | Mousanezhad, Davood |
Author | Haghpanah, Babak |
Author | Ghosh, Ranajay |
Author | Hamouda, Abdel Magid |
Author | Nayeb-Hashemi, Hamid |
Author | Vaziri, Ashkan |
Available date | 2021-04-15T10:49:01Z |
Publication Date | 2016 |
Publication Name | Theoretical and Applied Mechanics Letters |
Resource | Scopus |
ISSN | 20950349 |
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. 2016 The Authors. |
Sponsor | The authors thank Dr. Jim Papadopoulos for many fruitful discussions. This report was made possible by a NPRP award (NPRP 7-882-2-326 ) from the Qatar National Research Fund (a member of the Qatar Foundation). The statements herein are solely the responsibility of the authors. |
Language | en |
Publisher | Elsevier Ltd |
Subject | Auxetic Chiral Hierarchical Honeycomb Metamaterial |
Type | Article |
Pagination | 81-96 |
Issue Number | 2 |
Volume Number | 6 |
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Mechanical & Industrial Engineering [1339 items ]