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Topology Optimization for Design of Hybrid Lattice Structures with Multiple Microstructure Configurations

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Abstract

Hybrid lattice structures consisting of multiple microstructures have drawn much attention due to their excellent performance and extraordinary designability. This work puts forward a novel design scheme of lightweight hybrid lattice structures based on independent continuous mapping (ICM) method. First, the effective elastic properties of various microstructure configurations serve as a bridge between the macrostructure and the multiple microstructures by the homogenization theory. Second, a concurrent topology optimization model for seeking optimized macroscale topology and the specified microstructures is established and solved by a generalized multi-material interpolation formulation and sensitivity analysis. Third, several numerical examples show that hybrid lattice structures with different anisotropic configurations accomplish a better lightweight effect than those with various orthogonal configurations, which verifies the feasibility of the presented method. Hence, anisotropic configurations are more conducive to the sufficient utilization of constitutive material. The proposed scheme supplies a reference for the design of hybrid lattice structures and extends the application field of the ICM method.

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Acknowledgements

This work was supported by the Beijing Natural Science Foundation (No. 3192005), National Natural Science Foundation of China (No. 11872080) and Taishan University Youth Teacher Science Foundation (No. QN-01-201901).

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Authors and Affiliations

  1. Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing, 100124, China

    Nan Wei, Hongling Ye, Xing Zhang, Jicheng Li & Yunkang Sui

  2. College of Mechanical and Architectural Engineering, Taishan University, Taian, 271000, China

    Nan Wei

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  1. Nan Wei
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  2. Hongling Ye
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  3. Xing Zhang
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  4. Jicheng Li
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  5. Yunkang Sui
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Correspondence to Hongling Ye.

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Wei, N., Ye, H., Zhang, X. et al. Topology Optimization for Design of Hybrid Lattice Structures with Multiple Microstructure Configurations. Acta Mech. Solida Sin. 35, 367–383 (2022). https://doi.org/10.1007/s10338-021-00302-3

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  • DOI: https://doi.org/10.1007/s10338-021-00302-3

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