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Design and Mechanical Characterization of an S-Based TPMS Hollow Isotropic Cellular Structure

Junjian Fu1,2, Pengfei Sun1, Yixian Du1,2,*, Lei Tian1, Qihua Tian1, Xiangman Zhou1

1 College of Mechanical and Power Engineering, China Three Gorges University, Yichang, 443002, China
2 Hubei Key Laboratory of Hydroelectric Machinery Design & Maintenance, Yichang, 443002, China

* Corresponding Author: Yixian Du. Email:

Computer Modeling in Engineering & Sciences 2022, 131(2), 695-713.


Cellular structures are regarded as excellent candidates for lightweight-design, load-bearing, and energy-absorbing applications. In this paper, a novel S-based TPMS hollow isotropic cellular structure is proposed with both superior load-bearing and energy-absorbing performances. The hollow cellular structure is designed with Boolean operation based on the Fischer-Koch (S) implicit triply periodic minimal surfaces (TPMS) with different level parameters. The anisotropy and effective elasticity properties of cellular structures are evaluated with the numerical homogenization method. The finite element method is further conducted to analyze the static mechanical performance of hollow cellular structure considering the size effect. The compression experiments are finally carried out to reveal the compression properties and energy-absorption characteristics. Numerical results of the Zener ratio proved that the S-based hollow cellular structure tends to be isotropic, even better than the sheet-based Gyroid TPMS. Compared with the solid counterpart, the S-based hollow cellular structure has a higher elastic modulus, better load-bearing and energy absorption characteristics.


Cite This Article

Fu, J., Sun, P., Du, Y., Tian, L., Tian, Q. et al. (2022). Design and Mechanical Characterization of an S-Based TPMS Hollow Isotropic Cellular Structure. CMES-Computer Modeling in Engineering & Sciences, 131(2), 695–713.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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