Wave Propagation in Sandwich Panel with Auxetic Core

Document Type: Research Paper


1 School of Science, Chang’an University, Xi’an, China

2 School of Aeronautics, Northwestern Polytechnical University


Auxetic cellular solids in the forms of honeycombs and foams have great potential in a diverse range of applications, including as core material in curved sandwich panel composite components, radome applications, directional pass band filters, adaptive and deployable structures, filters and sieves, seat cushion material, energy absorption components, viscoelastic damping materials and fastening devices etc.In this paper, the characteristic of wave propagation in sandwich panel with auxetic core is analyzed. A three-layer sandwich panel is considered which is discretized in the thickness direction by using semi-analytical finite element method. Wave propagation equations are obtained through some algebraic manipulation and applying standard finite element assembling procedures. The mechanical properties of auxetic core can be described by the geometric parameters of the unit cell and mechanical properties of the virgin core material. The characteristics of wave propagation in sandwich panel with conventional hexagonal honeycomb core and re-entrant auxetic core are discussed, and effects of panel thickness, geometric properties of unit cell on dispersive curves are also discussed. Variations of Poisson’s ratio and core density with inclined angle are presented.


[1] Evans K.E., Nkansah M.A., Hutchinson I.J., Rogers S.C., 1991, Molecular network design, Nature 353: 12-125.

[2] Alderson A., Alderson K.L., 2007, Auxetic materials, Proceeding of Institute of Mechanical Engineers, Part G: Journal of Aerospace Engineering 221: 565-575.

[3] Hadjigeorgiou E.P., Stavroulakis G.E., 2004, The use of auxetic materials in smart structures, Computational Methods in Science and Technology 10(2): 147-160.

[4] Yu S.D., Cleghorn W.L., 2005, Free flexural vibration analysis of symmetric honeycomb panels, Journal of Sound and Vibration 284: 189-204.

[5] Remillat C., Wilcox P., Scarpa F., 2008, Lamb wave propagation in negative Poisson’s ratio composites, Proceedings of SPIE 6935.

[6] Tee K.F., Spadoni A., Scarpa F., Ruzzene M., 2010, Wave propagation in auxetic tetrachiral honeycombs, Journal of Vibration and Acoustics 132: 031007.

[7] Wan H., Ohtaki H., Kotosaka S., Hu G.M., 2004, A study of negative Poisson’s ratios in auxetic honeycombs based on a large deflection model, European Journal of Mechanics A/Solids 23: 95-106.

[8] Scarpa F., Tomlinson G., 2000, Theoretical characteristics of the vibration of sandwich plates with in-plane negative Poisson’s ratio values, Journal of Sound and Vibration 230(1): 45-67.

[9] Ruzzene M., Mazzarella L., Tsopelas P., Scarpa F. 2002, Wave propagation in sandwich plates with periodic auxetic core, Journal of Intelligent Material Systems and Structures 13(9): 587-597.

[10] Ruzzene M., Scarpa F., 2003, Control of wave propagation in sandwich beams with auxetic core, Journal of Intelligent Materials Systems and Structures 1(7): 448-468.

[11] Ruzzene M., Scarpa F., Soranna, F. 2003, Wave beaming effects in two dimensional cellular structures, Smart Materials and Structures 12(3): 363-372.

[12] Lira C., Innocenti P., Scarpa F. 2009, Transverse elastic shear of auxetic multi-reentrant honeycombs, Composite Structures 90(3): 314-322.

[13] Reddy J.N., 2002, Energy Principle and Variational Methods in Applied Mechanics, Second Edition, John Wiley, New York.

[14] Cook R.D., 2001, Concepts and Applications of Finite Element Analysis, John Wiley, New York.

[15] Scarpa F., Tomlin P.J. 2000, On the transverse shear modulus of negative Poisson’s ratio honeycomb structures, Fatigue and Fracture Engineering Materials and Structures 23: 717-720.

[16] Gibson L.J., Ashby M.F., 1997, Cellular Solids: Structure and Properties, Cambridge University Press, Cambridge, UK, Second Edition.

[17] Decolon C., 2002, Analysis of Composite Structures, Hermes Penton Science, London.