A New Solution Method for Homogenization of Effective Properties of Electromagnetic Honeycombs

Abstract:

In this paper, an analytical model and its new numerical solution using the homogenization method are developed to determine the effective electromagnetic characteristics of honeycombs. Based on the proposed solution method, the electromagnetic properties are obtained by employing the multi-scale homogenization theory and periodical electric (magnetic) potential boundary conditions. Further, the effect of geometry of honeycomb’s unit cell on effective electromagnetic properties is investigated with the use of the proposed method. The numerical results are compared with analytic results using the Smith-Scarpa’s semi-empirical formula.

• Periodical: Key Engineering Materials (Volume 443)
• Pages: 551-556
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.443.551
• Online since: June 2010
• Authors: Lian Hua Ma, Bernard F. Rolfe, Qing Sheng Yang, Chun Hui Yang
• Keywords: Effective Electromagnetic Properties, Finite Element Model (FEM), Honeycomb, Multi-Scale Homogenization

References

[1] J. Bettermann and H. Wentzel: Proc. 3rd Int. Conf. Electromagnetics in Aerospace Applications. Torino, Italy (1993), p.14.

[2] S.T. Hong, J. Pan, T. Tyan and P. Prasad: Int.J. Plasticity. Vol. 22(2006), p.73.

[3] F.N.H. Robinson: Macroscopic Electromagnetism, Pergamon Press(1973), UK.

[4] F.C. Smith: IEEE Proc. Microw. Antennas Propag., Vol. 146(1999), p.55.

[5] F.C. Smith, F. Scarpa and B. Chambers: IEEE Microw. Guided Wave Lett., 10 (2000), p.451.

[6] F.C. Smith, F. Scarpa and G. Burriesci: Proc. SPIE., Vol. 4701 (2002), p.582.

[7] J.B. Pendry: J. Phys.: Condens. Matter, 8 (1996) p.1085.

[8] B. Hassani and E. Hinton: Computers & Structures, 69 (1998), p.719.

[9] W.X. Wang, D.M. Luo, Y. Takao and K. Kakimoto: Computers & Structures, Vol. 84 (2006), p.991.