Advertisement

Acta Mechanica Solida Sinica

, Volume 32, Issue 6, pp 713–724 | Cite as

Crushing Behaviors of Fractal Hexagonal Tubular Structures: Experiments and Plastic Analysis

  • Weiwei Li
  • Bei ZhangEmail author
  • Hualin FanEmail author
Article
  • 114 Downloads

Abstract

Fractal tubular structures (FTSs) can greatly increase the anti-crushing and energy absorption capacity of the material. To reveal this mechanism, fractal hexagonal tubes (FHTs) with self-similar fractal structure were designed and prepared. Compression experiments were carried out to verify the crushing modes of structures with different scale factors. Compared with the single-cell structure, FHTs have much greater mean crushing force (MCF). According to the experiments and the numerical simulations, when the side length of the second-order hexagon is 0.3 times of the length of the first-order primary hexagon, the FTS has the greatest peak force (PF) and MCF as well as the most excellent energy-absorbing ability. Three folding styles were revealed by the experiments and the numerical simulation when changing the scale factor, including the overall folding mode, the local foaling mode and the hybrid folding mode. Theoretical plastic models were built, which consistently predicted the MCF.

Keywords

Fractal structure Crushing Energy absorption Plastic analysis 

Notes

Acknowledgements

Supports from the National Natural Science Foundation of China (11671230) and the State Key Laboratory of Mechanics and Control of Mechanical Structures (MCMS-0217G03) are gratefully acknowledged.

References

  1. 1.
    Pugsley A. The large-scale crumpling of thin cylindrical columns. Q J Mech Appl Math. 1960;13(1):1–9.MathSciNetCrossRefGoogle Scholar
  2. 2.
    Alexander JM. An approximate analysis of the collapse of thin cylindrical shells under axial loading. Q J Mech Appl Math. 1960;13(1):10–5.MathSciNetCrossRefGoogle Scholar
  3. 3.
    Wierzbicki T, Abramowicz W. On the crushing mechanics of thin-walled structures. J Appl Mech. 1983;50:727–34.CrossRefGoogle Scholar
  4. 4.
    Hou SJ, Li Q, Long S. Design optimization of regular hexagonal thin-walled columns with crashworthiness criteria. Finite Elem Anal Des. 2007;43:555–65.CrossRefGoogle Scholar
  5. 5.
    Zhang X, Zhang H. Energy absorption of multi-cell stub columns under axial compression. Thin Wall Struct. 2013;68:156–63.CrossRefGoogle Scholar
  6. 6.
    Mahmoodi A, Shojaeefard MH, Saeidi Googarchin H. Theoretical development and numerical investigation on energy absorption behavior of tapered multi-cell tubes. Thin Wall Struct. 2016;102:98–110.CrossRefGoogle Scholar
  7. 7.
    Zahran MS, Xue P, Esa MS, Abdelwahab MM. A novel tailor-made technique for enhancing the crashworthiness by multi-stage tubular square tubes. Thin Wall Struct. 2018;122:64–82.CrossRefGoogle Scholar
  8. 8.
    Lakes RS. Materials with structural hierarchy. Nature. 1993;361:511–5.CrossRefGoogle Scholar
  9. 9.
    Fan HL, Jin FN, Fang DN. Mechanical properties of hierarchical cellular materials: part I. Anal Compos Sci Technol. 2008;68:3380–7.CrossRefGoogle Scholar
  10. 10.
    Fan HL, Zhao L, Chen HL, Kuang N, Yang CK, Huang SQ, Jiang YF. Ductile deformation mechanisms and designing instructions for integrated woven textile sandwich composites. Compos Sci Technol. 2012;72:1338–43.CrossRefGoogle Scholar
  11. 11.
    Fan HL, Sun FF, Yang L, Jin FN, Zhao DJ. Interlocked hierarchical lattice materials reinforced by woven textile sandwich composites. Compos Sci Technol. 2013;87:142–8.CrossRefGoogle Scholar
  12. 12.
    Sun FF, Lai CL, Fan HL, Fang DN. Crushing mechanism of hierarchical lattice structure. Mech Mater. 2016;97:164–83.CrossRefGoogle Scholar
  13. 13.
    Sun FF, Fan HL. In-plane compression behaviors of hierarchical triangular lattice structures. Mater Des. 2016;100:280–90.CrossRefGoogle Scholar
  14. 14.
    Hong W, Fan HL, Xia ZC, Jin FN, Zhou Q, Fang DN. Axial crushing behaviors of multi-cell tubes with triangular lattices. Int J Impact Eng. 2014;63:106–17.CrossRefGoogle Scholar
  15. 15.
    Luo YH, Fan HL. Investigation of lateral crushing behaviors of hierarchical quadrangular thin-walled tubular structures. Thin Wall Struct. 2018;125:100–6.CrossRefGoogle Scholar
  16. 16.
    Luo YH, Fan HL. Energy absorbing ability of rectangular self-similar multi-cell sandwich-walled tubular structures. Thin Wall Struct. 2018;124:88–97.CrossRefGoogle Scholar
  17. 17.
    Fang JG, Sun GY, Qiu N, Pang T, Li SF, Li Q. On hierarchical honeycombs under out-of-plane crushing. Int J Solids Struct. 2018;135:1–13.CrossRefGoogle Scholar
  18. 18.
    Chen YY, Li TT, Jia Z, Scarpa F, Yao CW, Wang LF. 3D printed hierarchical honeycombs with shape integrity under large compressive deformations. Mater Des. 2018;137:226–34.CrossRefGoogle Scholar
  19. 19.
    An LQ, Zhang XC, Wu HX, Jiang WQ. In-plane dynamic crushing and energy absorption capacity of self-similar hierarchical honeycombs. Adv Mech Eng. 2017;9(6):168781401770389.CrossRefGoogle Scholar
  20. 20.
    Chen Q, Shi Q, Signetti S, Sun FF, Li ZY, Zhu FP, He SY, Pugno NM. Plastic collapse of cylindrical shell-plate periodic honeycombs under uniaxial compression: experimental and numerical analyses. Int J Mech Sci. 2016;111–112:125–33.CrossRefGoogle Scholar
  21. 21.
    Li WW, Luo YH, Li M, Sun FF, Fan HL. A more weight-efficient hierarchical hexagonal multi-cell tubular absorber. Int J Mech Sci. 2018;140:241–9.CrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics 2019

Authors and Affiliations

  1. 1.Research Center of Lightweight Structures and Intelligent Manufacturing, State Key Laboratory of Mechanics and Control of Mechanical StructuresNanjing University of Aeronautics and AstronauticsNanjingChina
  2. 2.State Key Laboratory for Disaster Prevention & Mitigation of Explosion & ImpactPLA Army Engineering UniversityNanjingChina
  3. 3.Department of Civil EngineeringNanyang Institute of TechnologyNanyangChina
  4. 4.Research Institute for National Defense Engineering of Academy of Military Science PLALuoyangChina

Personalised recommendations