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Topology optimization of material microstructures using energy-based homogenization method under specified initial material layout

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Abstract

Due to multiple local optimums in the society of periodic material microstructure deign using topology optimization, it is widely recognized that the initial microstructure configuration can significantly influence the optimal design. This study investigates the effect of different initial material layouts of microstructure unit cell upon the optimal design, and proposes a microstructure initialization scheme to alleviate the dependency of the optimal design on its initial design. The effective elastic properties of microstructures are evaluated by the efficient energy-based homogenization method. Topology optimization models are formulated to seek the best microstructures with the extreme properties or desired properties under the prescribed volume constraints. Several typical numerical examples are presented to demonstrate the effectiveness of the proposed scheme. Numerical results show that the proposed scheme can reduce the sensitivity of the optimal design upon optimization parameters and be beneficial to achieve a stable and rapid convergence.

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Authors and Affiliations

  1. State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, China

    Yan Zhang, Mi Xiao, Hao Li & Liang Gao

Authors
  1. Yan Zhang
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  2. Mi Xiao
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  3. Hao Li
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  4. Liang Gao
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Corresponding author

Correspondence to Liang Gao.

Additional information

Recommended by Associate Editor Gil Ho Yoon

Yan Zhang is currently a doctoral student at Huazhong University of Science and Technology in China. His main research interest includes topological design of material microstructure, integrated topological design of material and structure.

Mi Xiao is currently a lecturer at Huazhong University of Science and Technology in China. His main research interest includes topology optimization, multidisciplinary design optimization, design optimization based on surrogate model.

Hao Li is currently a post-doctoral researcher at Huazhong University of Science and Technology in China. His main research interest includes topology optimization, integrated topological design of material and structure.

Liang Gao is a Professor at Huazhong University of Science and Technology in China. His main research interest includes topology optimization, intelligent optimization algorithm and its application in design and manufacture.

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Zhang, Y., Xiao, M., Li, H. et al. Topology optimization of material microstructures using energy-based homogenization method under specified initial material layout. J Mech Sci Technol 33, 677–693 (2019). https://doi.org/10.1007/s12206-019-0123-6

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  • DOI: https://doi.org/10.1007/s12206-019-0123-6

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