Microscopic Layout Design of Metamaterial

Abstract:

A novel design method based on layout evolution of the periodic micro unit cell of the metamaterial is presented for improvement of the mechanical behavior of the composite structure. The macro properties of the metamaterial depend strongly on its microscopic layout, and hereby may possibly be improved by microstructural design. Topology optimization model and the solution method based on inverse homogenization process are developed to find the best layout of the microstructure. The proposed method may be applied to improve the static and vibro-acoustic behavior of the structure, which is validated by several numerical examples.

• Periodical: Applied Mechanics and Materials (Volumes 633-634)
• Pages: 1273-1276
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.633-634.1273
• Online since: September 2014
• Authors: Jian Bin Du*, Rui Zhen Yang
• Keywords: Layout of Microstructure, Metamaterial, Microscopic Design, Topology Optimization

References

[1] O. Sigmund: Int J Solids Struct Vol. 31(17) (1994) p.2313.

[2] D. Fujii, B.C. Chen, N. Kikuchi: Int J Numer Methods Eng Vol. 50(9) (2001) p. (2031).

[3] R.Z. Yang, J.B. Du: Struct Multidisc Optim Vol. 47(2) (2013) p.191.

[4] H.C. Rodrigues, J.M. Guedes, M.P. Bendsoe: Struct Multidisc Optim Vol. 24(1) (2002) p.1.

[5] L. Liu, J. Yan, G.D. Cheng: Comput Struct Vol. 86(13-14) (2008) p.1417.

[6] J. Yan, G.D. Chen, L. Liu: Chin J Comput Mech Vol. 26(1) (2009) p.1.

[7] B. Niu, J. Yan, G.D. Cheng: Struct Multidisc Optim Vol. 39(2) (2009) p.115.

[8] B. Hassani, E. Hinton: Homogenization and structural topology optimization: Theory, practice and Software (Springer, London 1999).

[9] G.I.N. Rozvany, M. Zhou, T. Birker: Struct Optim Vol. 4(3-4) (1992) p.250.