Collaborative Optimization of Structures With Periodic Composite Materials

CHENG Ke-peng; WANG Xian-jie; ZHANG Xun-an; LIAN Ye-da

doi:10.3879/j.issn.1000-0887.2015.07.005

Volume 36 Issue 7

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CHENG Ke-peng, WANG Xian-jie, ZHANG Xun-an, LIAN Ye-da. Collaborative Optimization of Structures With Periodic Composite Materials[J]. Applied Mathematics and Mechanics, 2015, 36(7): 725-732. doi: 10.3879/j.issn.1000-0887.2015.07.005

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Collaborative Optimization of Structures With Periodic Composite Materials

doi: 10.3879/j.issn.1000-0887.2015.07.005

¹School of Mechanics and Civil Engineering & Architecture,Northwestern Polytechnical University, Xi’an 710129;²School of Urban Construction and Management,Yunnan University,Kunming 650091

Funds: The National Natural Science Foundation of China(51308458)

Received Date: 2014-10-30
Rev Recd Date: 2015-06-01
Publish Date: 2015-07-15

Abstract

Abstract

In view of the coupling effects between the micro scale and macro scale, the structure-material collaborative optimization method was established based on the traditional bi-directional evolutionary topology optimization method. The equivalent elastic modulus and sensitivities were obtained with the homogenization theory, and these properties were integrated into the material unit cell design and macrostructure optimization. To eliminate the gray area, the 0-1 properties of the materials and uniformity of the macrostructure permutation were hypothesized for deduction, which made the results manufacturable. Several numerical examples were presented to validate that the proposed optimization algorithm is effective for the material unit cell design and macrostructure optimization. The method also can be used for the periodic composite material design under given macrostructures.
- multi-scale,
- homogenization method,
- collaborative optimization,
- periodic composite material,
- bi-directional evolutionary topology optimization

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References(15)

References

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