Topological Design of Three-Dimensional Microstructure Based on Homogenization Effective Method



Nowadays, the topology optimization method is extensively adopted for the design of material microstructures to achieve desired behaviors. The present work is concerned with the optimal design of the stiffness and thermal conductivity of 3D microstructure unit cells with the specific material volume fraction in conjunction with the homogenization method and the finite element method. Numerical examples are given to demonstrate that optimal material layouts are successfully achieved and the initial layout has a great effect on the optimal microstructure.




Chengyu Jiang, Geng Liu, Dinghua Zhang and Xipeng Xu




K. P. Qiu et al., "Topological Design of Three-Dimensional Microstructure Based on Homogenization Effective Method", Materials Science Forum, Vols. 532-533, pp. 705-708, 2006


December 2006




[1] O. Sigmund: International Journal of Solids and Structures, Vol. 31 (1994) No. 17, pp.2313-2329.

[2] O. Sigmund: Mechanics of Materials, Vol. 20 (1995) No. 4, pp.351-368.

[3] O. Sigmund amd S. Torquato: Journal of the Mechanics and Physics of Solids, Vol. 45 (1997), pp.1037-1067.

[4] M.M. Neves, H. Rodrigues and J.M. Guedes: Computers and Structures, Vol. 76 (2000), pp.421-429.

[5] B. Hassani and E. Hinton: Computers & Structure, Vol. 69 (1998), pp.702-717.

[6] Y. Asakuma, S. Miyauchi and et al: International Journal of Hydrogen Energy, Vol. 29 (2004), pp.209-216.

[7] W.H. Zhang and P. Duysinx: Computers & Structures, Vol. 81 (2003), pp.2173-2181.