Integrated Design of Materials and Structures with Scale-Coupled Effect

Article Preview

Abstract:

It is well known that structural behaviors of composite solids are determined by topology of microstructures of different sizes. In this paper a concurrent topology optimization method for integrated design of materials and structures with periodical microstructure was presented. The microstructures were assumed to be uniform in macro scale and heterogeneous in micro scale and the optimization object was to minimize the material global compliances. Design variables for structure and material microstructures were defined, independently. SIMP (Solid Isotropic Material with Penalization) was adopted to ensure clear topologies in both macro and micro scales. Design variables for structure and material microstructures were integrated into one system by using the super-element method. Influences of Representative Volume Element sizes, material ratio of macro-scale and micro-scale on structural topology are investigated. Numerical experiments validate the proposed method which can be used as an innovative design concept for the lightweight structures.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 199-200)

Pages:

1292-1296

Citation:

Online since:

February 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Bensoussan A, Lions JL, Papanicolaou G. Asymptotic Analysis for Periodic Structures[M]. Amsterdam: North Holland, (1978).

Google Scholar

[2] Sigmund O. International Journal of Solids and Structure, 1994, 31(17): 2313~2329.

Google Scholar

[3] Sigmund O. Mechanics of Material, 1995; 20: 351~368.

Google Scholar

[4] Pedersen P. Structural and Multidisciplinary Optimization, 19: 169-182.

Google Scholar

[5] Rodrigues H, Guedes JM, Bendsoe MP. Structural and Multi- disciplinary Optimization, 2002, 24: 1~10.

Google Scholar

[6] Zhang Weihong, Sun Shiping. Chinese Journal of Theoretical and Applied Mechanics, 38(4): 522-529 (in Chinese).

Google Scholar

[7] Sutherland LS, Shenoi RA, Lewis SM. Composites Science and Technology, 1999, 59: 209~220.

Google Scholar

[8] Pecullan S, Gibiansky LV, Torquato S. Journal of the Mechanics and Physics of Solids, 1999, 47: 1509~1542.

DOI: 10.1016/s0022-5096(98)00111-2

Google Scholar

[9] Yan Jun. Multiscale Analysis and Concurrent Optimization for Ultra-Light Metal Structures and Materials[D], Dalian, 2007(in Chinese).

Google Scholar

[10] Sigmund O. Journal of the Mechanics and Physics of Solids. 2000, 48: 397~428.

Google Scholar