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Design optimization of multimorphology surface-based lattice structures with density gradients

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Abstract

Graded structure design based on triply periodic minimal surface (TPMS) structures can effectively improve the stiffness of lightweight structures. To further improve the structural stiffness of these lattice structures, a novel optimization method combing performance characteristics of various morphology lattice structures is proposed. First, a discrete homogenization method based on the ABAQUS software is proposed to rapidly obtain the effective elastic properties of the TPMS structures. Then the effective elastic properties of three typical types of TPMS (iWp [W], IW, and primitive [P]) structures are studied for later design optimization. The size effect of TPMS structures is also studied, and the validity of effective compression modulus of three TPMS structures is verified by experiments. Third, density mapping, based on topology optimization (TO), and interpolation approaches are used to obtain the optimized lattice structure with a density gradient. The selective filling function of unit cells is given to obtain a suitable cell topology distribution across the design space. Finally, the effectiveness of the optimized results is verified by finite element analysis (FEA) and experiments.

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Acknowledgements

This work was supported by the National Key R&D Program of China (No. 2017YFB1103000) and Scientific Research Program of the Shanghai Science and Technology Committee (18DZ2204300).

Availability of data and materials

The datasets used during the current study are available from the corresponding author on reasonable request.

Code availability

The code used during the current study (including how to rapidly obtain the effective modulus of the unit cell and how to fill the unit cell) is available from the corresponding author on reasonable request.

Funding

This work was supported by the Ministry of Science and Technology of the People’s Republic of China (number: 2017YFB1103000, recipient: Wenhe Liao) and Scientific Research Program of the Shanghai Science and Technology Committee (number: 18DZ2204300).

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Authors and Affiliations

  1. National Joint Engineering Research Center of NC Forming Technology and Equipment, School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Xin Shi, Wenhe Liao, Tingting Liu, Changdong Zhang, Dawei Li, Weiming Jiang, Cong Wang & Fangxi Ren

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  1. Xin Shi
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  2. Wenhe Liao
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  3. Tingting Liu
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  4. Changdong Zhang
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  5. Dawei Li
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  6. Weiming Jiang
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  7. Cong Wang
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  8. Fangxi Ren
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Contributions

Wenhe Liao, Tingting Liu, Changdong Zhang, and Dawei Li contributed to the conception of the study; Xin Shi, Cong Wang, and Fangxi Ren performed the experiments; Weiming Jiang contributed to realize the optimization process; and Xin Shi performed the data analyses and wrote the manuscript.

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Correspondence to Wenhe Liao or Tingting Liu.

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Shi, X., Liao, W., Liu, T. et al. Design optimization of multimorphology surface-based lattice structures with density gradients. Int J Adv Manuf Technol 117, 2013–2028 (2021). https://doi.org/10.1007/s00170-021-07175-3

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  • DOI: https://doi.org/10.1007/s00170-021-07175-3

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