Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: A simple energy-based approach
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,...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-03-01
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| Series: | Theoretical and Applied Mechanics Letters |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2095034916000210 |
| _version_ | 1819143765262073856 |
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| author | Davood Mousanezhad Babak Haghpanah Ranajay Ghosh Abdel Magid Hamouda Hamid Nayeb-Hashemi Ashkan Vaziri |
| author_facet | Davood Mousanezhad Babak Haghpanah Ranajay Ghosh Abdel Magid Hamouda Hamid Nayeb-Hashemi Ashkan Vaziri |
| author_sort | Davood Mousanezhad |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T12:31:26Z |
| format | Article |
| id | doaj.art-f0118519deb64b9580aa62bb3cce9937 |
| institution | Directory Open Access Journal |
| issn | 2095-0349 |
| language | English |
| last_indexed | 2024-12-22T12:31:26Z |
| publishDate | 2016-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Theoretical and Applied Mechanics Letters |
| spelling | doaj.art-f0118519deb64b9580aa62bb3cce99372022-12-21T18:25:40ZengElsevierTheoretical and Applied Mechanics Letters2095-03492016-03-0162819610.1016/j.taml.2016.02.004Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: A simple energy-based approachDavood Mousanezhad0Babak Haghpanah1Ranajay Ghosh2Abdel Magid Hamouda3Hamid Nayeb-Hashemi4Ashkan Vaziri5Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA 02115, USADepartment of Mechanical and Industrial Engineering, Northeastern University, Boston, MA 02115, USADepartment of Mechanical and Industrial Engineering, Northeastern University, Boston, MA 02115, USAMechanical and Industrial Engineering Department, Qatar University, Doha, QatarDepartment of Mechanical and Industrial Engineering, Northeastern University, Boston, MA 02115, USADepartment of Mechanical and Industrial Engineering, Northeastern University, Boston, MA 02115, USAThe 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.http://www.sciencedirect.com/science/article/pii/S2095034916000210ChiralHierarchicalHoneycombMetamaterialAuxetic |
| spellingShingle | Davood Mousanezhad Babak Haghpanah Ranajay Ghosh Abdel Magid Hamouda Hamid Nayeb-Hashemi Ashkan Vaziri Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: A simple energy-based approach Theoretical and Applied Mechanics Letters Chiral Hierarchical Honeycomb Metamaterial Auxetic |
| title | Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: A simple energy-based approach |
| title_full | Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: A simple energy-based approach |
| title_fullStr | Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: A simple energy-based approach |
| title_full_unstemmed | Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: A simple energy-based approach |
| title_short | Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: A simple energy-based approach |
| title_sort | elastic properties of chiral anti chiral and hierarchical honeycombs a simple energy based approach |
| topic | Chiral Hierarchical Honeycomb Metamaterial Auxetic |
| url | http://www.sciencedirect.com/science/article/pii/S2095034916000210 |
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