Paper-based Metamaterials: Honeycomb and Auxetic Structures

Author(s): Amelia Carolina Sparavigna

Metamaterials are engineered materials that gain their properties from the repeating patterns of their structures. Here we discuss paper-based metamaterials, with the honeycomb structure, and a possible auxetic design of them.

Honeycomb cells, Auxetic structures, Metamaterials, Paper, Cardboards

1. T.J. Cui, D-R. Smith and R. Liu, (2010). Metamaterials: theory, design, and applications, Springer
2. N. Engheta and R.W. Ziolkowski (2006). Metamaterials: physics and engineering explorations, John Wiley & Sons
3. V.M. Shalaev, W. Cai, U. Chettiar, H.-K. Yuan, A.K. Sarychev, V.P. Drachev and A.V. Kildishev (2005). Negative index of refraction in optical metamaterials, arXiv:physics/ 0504091 [physics.optics]
4. D. Schurig, J.J. Mock, B.J. Justice, S.A. Cummer, J.B. Pendry, A.F. Starr and D.R. Smith (2006). Metamaterial electromagnetic cloak at microwave frequencies, Science, Volume 314, Issue 5801, Pages 977-980
5. V.M. Shalaev (2008). Transforming light, Science, Volume 322, Pages 384-386
6. Vv.Aa. (2014). Wikipedia, History of metamaterials
7. Z. Liu, X. Zhang, Y. Mao, Y.Y. Zhu, Z. Yang, C.T. Chan and P. Sheng (2000). Locally resonant sonic materials, Science, Volume 289, Issue 5485, Pages 1734–1736
8. A.C. Sparavigna (2013). Metamateriali cartacei a nido d'ape e auxetici. Converter & Cartotecnica, Volume XXVI, Issue 154, Pages 84-88
9. Vv. Aa. (2014). Wikipedia, Paper
10. H.L. Cox (1952). The elasticity and strength of paper and other fibrous materials, British Journal of Applied Physics, Volume 3, Issue 3, Pages 72-79
11. M. Litt (1961). Macroscopic properties and microscopic structure in paper, Journal of Colloid Science, Volume 16, Issue 3, Pages 297–310
12. W. Szewczyk, K. Marynowski and W. Tarnawski (2006). An analysis of Young’s modulus distribution in the paper plane, Fibres & Textiles in Eastern Europe, Volume 14, Issue October/December, Pages 91-94
13. N. Stenberg and C. Fellers (2002). Out-of-plane Poisson’s ratios of paper and paperboard, Nordic Pulp and Paper Research Journal, Volume 17, Issue 4, Pages 387-394
14. P. Verma, A.C. Griffin and M.L. Shofner (2013). Deconstructing the auxetic behavior of paper, Georgia Institute of Technology, Poster
15. Vv. Aa. (2014). Wikipedia, Paper honeycomb
16. Vv. Aa. (2014). Wikipedia, Honeycomb structure
17. G. Ambrose and P. Harris (2010). The visual dictionary of pre-press and production, AVA Publishing
18. M. Quinion, Auxetic, www.worldwidewords.org/ turnsofphrase/ tp-aux1.htm, retrieved June 2013
19. R.S. Lakes (1987). Foam structures with a negative Poisson's ratio, Science, Volume 235, Issue 4792, Pages 1038-1040
20. Z.-D. Ma, H. Bian, C. Sun, G.M. Hulbert, K. Bishnoi and F. Rostam-Abadi (2010). Functionally-graded NPR (Negative Poisson’s Ratio) material for a blast-protective deflector, 2010 NDIA Ground Vehicles Systems Engineering and Technology Symposium, August 17-19, Dearborn, Michigan
21. A.C. Sparavigna (2007). Phonons in conventional and auxetic honeycomb lattices, Phys. Rev. B, Volume 76, Pages 134302-1-13402-6
22. A.C. Sparavigna (2007). Phonons in honeycomb and auxetic two-dimensional lattices, arXiv:cond-mat/ 0703257 [cond-mat.mtrl-sci]
23. Maltese scientists’ work of front cover of leading international journals, home.um.edu.mt/ auxetic/press/
24. home.um.edu.mt/ auxetic/ www/ publications.html