Effective elastic properties of periodic hexagonal honeycombs
Name
Gibson_Effective elastic.pdf
Size
1.37 MB
Format
Adobe PDF
Checksum (MD5)
17284380a177e3c3895d97cad9f1986a
Author(s)
Malekmohammadi, Sardar
Gibson, Lorna J.
Date Issued
July 2015
Journal
Mechanics of Materials
Publisher
Elsevier
Citation
Malek, Sardar, and Gibson, Lorna. “Effective Elastic Properties of Periodic Hexagonal Honeycombs.” Mechanics of Materials 91 (December 2015): 226–240 © 2015 Elsevier Ltd
Version
Author's final manuscript
Abstract
We investigate the elastic behavior of periodic hexagonal honeycombs over a wide range of relative densities and cell geometries, using both analytical and numerical approaches. Previous modeling approaches are reviewed and their limitations identified. More accurate estimates of all nine elastic constants are obtained by modifying the analysis of Gibson and Ashby (1997) to account for the nodes at the intersection of the vertical and inclined members. The effect of the nodes becomes significant at high relative densities. We then compare the new analytical equations with previous analytical models, with a numerical analysis based on a computational homogenization technique and with data for rubber honeycombs over a wide range of relative densities and cell geometries. The comparisons show that both the new analytical equations and numerical solutions give a remarkably good description of the data. The results provide new insights into understanding the mechanics of honeycombs and designing new cellular materials in the future.
MIT Department
Massachusetts Institute of Technology. Department of Materials Science and Engineering
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.mechmat.2015.07.008
