Can anyone suggest me any literature about 2D honeycomb structures? In particular I am looking for the elasticity tensor which characterizes such materials.
The famous book of Gibson & Ashby [Gibson LJ, Ashby MF. In: Cellular solids. Structure and properties. 2nd ed. Cambridge (UK): Cambridge University Press; 1997] and refs. therein is a very good start. This book explains the properties of foams, but is based on the analysis of 2D honeycombs, before analysing the case of 3D structures.
The famous book of Gibson & Ashby [Gibson LJ, Ashby MF. In: Cellular solids. Structure and properties. 2nd ed. Cambridge (UK): Cambridge University Press; 1997] and refs. therein is a very good start. This book explains the properties of foams, but is based on the analysis of 2D honeycombs, before analysing the case of 3D structures.
Plus to Gibson/Ashby reference mentioned by Prof. Celzard, there is a nice book by Tom Bitzer "Honeycomb Technology" and some info on Mechanics of Honeycombs here: http://www.mse.mtu.edu/~drjohn/my4150/ .
Also Prof. Gibson from MIT mentioned that she plans to offer MOOC "Cellular Solids: Structure, Properties, Applications" via edx.org but it's still under development as far as know.
In addition the book "Metal Foams: A Design Guide" by M.F. Ashby, A.G. Evans, N.A. Fleck, L.J. Gibson, J.W. Hutchinson and H.N.G. Wadley and Polymer Foams Handbook by N. Mills can be useful.