Skip to main content

Advertisement

Log in

Crashworthiness analysis of bio-inspired hierarchical circular tube under axial crushing

  • Review
  • Published:
Journal of Materials Science Aims and scope Submit manuscript

Abstract

In this study, numerical and theoretical investigations are carried out to study the crushing behavior and energy absorption characteristics of bio-inspired hierarchical circular tube (BHCT). The BHCT is constructed by simulating the hierarchical microstructure characteristics of bamboo, and its crashworthiness analysis is performed using numerical and theoretical methods. The results show that the BHCT has better energy absorption capacity compared to the multi-cell circular tube (MCT) with the same mass, and the specific energy absorption (SEA) of BHCT is 67.69% higher than that of the corresponding MCT. It is also found that the hierarchical structure parameters λ significantly affect the energy absorption of BHCT. In addition, based on the simplified super folding element theory, a theoretical model is developed to predict the mean crushing force Fm of BHCT, which is in good agreement with the numerical results. This study can provide guidance for the design of novel crashworthiness structures with excellent energy absorption performance.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Figure 19
Figure 20
Figure 21
Figure 22
Figure 23
Figure 24
Figure 25

Similar content being viewed by others

References

  1. Baroutaji A, Sajjia M, Olabi A-G (2017) On the crashworthiness performance of thin-walled energy absorbers: Recent advances and future developments. Thin-Walled Struct 118:137–163. https://doi.org/10.1016/j.tws.2017.05.018

    Article  Google Scholar 

  2. Ha NS, Lu G (2020) A review of recent research on bio-inspired structures and materials for energy absorption applications. Compos B Eng. https://doi.org/10.1016/j.compositesb.2019.107496

    Article  Google Scholar 

  3. Isaac CW, Ezekwem C (2021) A review of the crashworthiness performance of energy absorbing composite structure within the context of materials, manufacturing and maintenance for sustainability. Compos Struct. https://doi.org/10.1016/j.compstruct.2020.113081

    Article  Google Scholar 

  4. Deng X, Qin S, Huang J (2022) Crashworthiness analysis of gradient hierarchical multicellular columns evolved from the spatial folding. Mater Des. https://doi.org/10.1016/j.matdes.2022.110435

    Article  Google Scholar 

  5. Li Z, Yang H, Hu X, Wei J, Han Z (2018) Experimental study on the crush behavior and energy-absorption ability of circular magnesium thin-walled tubes and the comparison with aluminum tubes. Eng Struct 164:1–13. https://doi.org/10.1016/j.engstruct.2018.02.083

    Article  CAS  Google Scholar 

  6. Shojaeefard MH, Najibi A, Anbarloei M, Yeganeh M (2014) Experimental and numerical crashworthiness investigation of combined circular and square sections. J Mech Sci Technol 28:999–1006. https://doi.org/10.1007/s12206-013-1172-x

    Article  Google Scholar 

  7. Wang P, Zheng Q, Fan H, Sun F, Jin F, Qu Z (2015) Quasi-static crushing behaviors and plastic analysis of thin-walled triangular tubes. J Constr Steel Res 106:35–43. https://doi.org/10.1016/j.jcsr.2014.12.004

    Article  Google Scholar 

  8. Tran T, Hou S, Han X, Tan W, Nguyen N (2014) Theoretical prediction and crashworthiness optimization of multi-cell triangular tubes. Thin-Walled Struct 82:183–195. https://doi.org/10.1016/j.tws.2014.03.019

    Article  Google Scholar 

  9. Zhang X, Cheng G, You Z, Zhang H (2007) Energy absorption of axially compressed thin-walled square tubes with patterns. Thin-Walled Struct 45:737–746. https://doi.org/10.1016/j.tws.2007.06.004

    Article  Google Scholar 

  10. Tao Y, Chen M, Chen H, Pei Y, Fang D (2015) Strain rate effect on the out-of-plane dynamic compressive behavior of metallic honeycombs: experiment and theory. Compos Struct 132:644–651. https://doi.org/10.1016/j.compstruct.2015.06.015

    Article  Google Scholar 

  11. Deng X, Liu W, Lin Z (2018) Experimental and theoretical study on crashworthiness of star-shaped tubes under axial compression. Thin-Walled Struct 130:321–331. https://doi.org/10.1016/j.tws.2018.06.002

    Article  Google Scholar 

  12. Li Z, Yao S, Ma W, Xu P, Che Q (2019) Energy-absorption characteristics of a circumferentially corrugated square tube with a cosine profile. Thin-Walled Struct 135:385–399. https://doi.org/10.1016/j.tws.2018.11.028

    Article  Google Scholar 

  13. Ha NS, Lu G, Xiang X (2019) Energy absorption of a bio-inspired honeycomb sandwich panel. J Mater Sci 54:6286–6300. https://doi.org/10.1007/s10853-018-3163-x

    Article  CAS  Google Scholar 

  14. Alavi Nia A, Parsapour M (2013) An investigation on the energy absorption characteristics of multi-cell square tubes. Thin-Walled Struct 68:26–34. https://doi.org/10.1016/j.tws.2013.01.010

    Article  Google Scholar 

  15. Tang Z, Liu S, Zhang Z (2013) Analysis of energy absorption characteristics of cylindrical multi-cell columns. Thin-Walled Struct 62:75–84. https://doi.org/10.1016/j.tws.2012.05.019

    Article  Google Scholar 

  16. Alavi Nia A, Parsapour M (2014) Comparative analysis of energy absorption capacity of simple and multi-cell thin-walled tubes with triangular, square, hexagonal and octagonal sections. Thin-Walled Struct 74:155–165. https://doi.org/10.1016/j.tws.2013.10.005

    Article  Google Scholar 

  17. Ding X, Tong Z, Liu Y, Liu S (2018) Dynamic axial crush analysis and design optimization of a square multi-cell thin-walled tube with lateral variable thickness. Int J Mech Sci 140:13–26. https://doi.org/10.1016/j.ijmecsci.2018.02.034

    Article  Google Scholar 

  18. Duarte I, Krstulović-Opara L, Dias-de-Oliveira J, Vesenjak M (2019) Axial crush performance of polymer-aluminium alloy hybrid foam filled tubes. Thin-Walled Struct 138:124–136. https://doi.org/10.1016/j.tws.2019.01.040

    Article  Google Scholar 

  19. Yalçın MM, Genel K (2019) On the axial deformation characteristic of PVC foam-filled circular aluminium tube: effect of radially-graded foam filling. Thin-Walled Struct. https://doi.org/10.1016/j.tws.2019.106335

    Article  Google Scholar 

  20. Duarte I, Vesenjak M, Krstulović-Opara L, Ren Z (2018) Crush performance of multifunctional hybrid foams based on an aluminium alloy open-cell foam skeleton. Polym Testing 67:246–256. https://doi.org/10.1016/j.polymertesting.2018.03.009

    Article  CAS  Google Scholar 

  21. Xu J, Yang X, He C et al (2020) Crushing behavior and energy absorption property of carbon nanotube-reinforced aluminum composite foam-filled 6061 aluminum alloy tubes. J Mater Sci 55:7910–7926. https://doi.org/10.1007/s10853-020-04552-3

    Article  CAS  Google Scholar 

  22. Pang T, Zheng G, Fang J, Ruan D, Sun G (2019) Energy absorption mechanism of axially-varying thickness (AVT) multicell thin-walled structures under out-of-plane loading. Eng Struct. https://doi.org/10.1016/j.engstruct.2019.04.074

    Article  Google Scholar 

  23. Wen W, Lei M, Tao Y, Lian Y (2022) Out-of-plane crashworthiness of bio-inspired hierarchical diamond honeycombs with variable cell wall thickness. Thin-Walled Struct. https://doi.org/10.1016/j.tws.2022.109347

    Article  Google Scholar 

  24. Wu Y, Sun L, Yang P, Fang J, Li W (2021) Energy absorption of additively manufactured functionally bi-graded thickness honeycombs subjected to axial loads. Thin-Walled Struct. https://doi.org/10.1016/j.tws.2021.107810

    Article  Google Scholar 

  25. Wang Z, Liu J, Yao S (2018) On folding mechanics of multi-cell thin-walled square tubes. Compos B Eng 132:17–27. https://doi.org/10.1016/j.compositesb.2017.07.036

    Article  CAS  Google Scholar 

  26. Zhang D, Fei Q, Zhang P (2017) In–plane dynamic crushing behavior and energy absorption of honeycombs with a novel type of multi-cells. Thin-Walled Struct 117:199–210. https://doi.org/10.1016/j.tws.2017.03.028

    Article  Google Scholar 

  27. Chen J, Hao N, Pan L, Hu L, Du S, Fu Y (2020) Characteristics of compressive mechanical properties and strengthening mechanism of 3D-printed grid beetle elytron plates. J Mater Sci 55:8541–8552. https://doi.org/10.1007/s10853-020-04630-6

    Article  CAS  Google Scholar 

  28. Xiang J, Du J, Li D, Scarpa F (2017) Numerical analysis of the impact resistance in aluminum alloy bi-tubular thin-walled structures designs inspired by beetle elytra. J Mater Sci 52:13247–13260. https://doi.org/10.1007/s10853-017-1420-z

    Article  CAS  Google Scholar 

  29. Xiao Y, Yin H, Fang H, Wen G (2016) Crashworthiness design of horsetail-bionic thin-walled structures under axial dynamic loading. Int J Mech Mater Des 12:563–576. https://doi.org/10.1007/s10999-016-9341-6

    Article  Google Scholar 

  30. Zou M, Xu S, Wei C, Wang H, Liu Z (2016) A bionic method for the crashworthiness design of thin-walled structures inspired by bamboo. Thin-Walled Struct 101:222–230. https://doi.org/10.1016/j.tws.2015.12.023

    Article  Google Scholar 

  31. Du J, Hao P, Li La (2021) Finite element analysis of energy absorption characteristics for biomimetic thin-walled multi-cellular structure inspired by horsetails. Mech Adv Mater Struct. https://doi.org/10.1080/15376494.2021.1991059

    Article  Google Scholar 

  32. Yu X, Pan L, Chen J, Zhang X, Wei P (2018) Experimental and numerical study on the energy absorption abilities of trabecular–honeycomb biomimetic structures inspired by beetle elytra. J Mater Sci 54:2193–2204. https://doi.org/10.1007/s10853-018-2958-0

    Article  CAS  Google Scholar 

  33. Zhang W, Xu J, Yu TX (2022) Dynamic behaviors of bio-inspired structures: design, mechanisms, and models. Eng Struct. https://doi.org/10.1016/j.engstruct.2022.114490

    Article  Google Scholar 

  34. Sherman J, Zhang W, Xu J (2021) Energy absorption performance of bio-inspired honeycombs: numerical and theoretical analysis. Acta Mech Solida Sin 34:884–894. https://doi.org/10.1007/s10338-021-00262-8

    Article  Google Scholar 

  35. Zhang L, Bai Z, Bai F (2018) Crashworthiness design for bio-inspired multi-cell tubes with quadrilateral, hexagonal and octagonal sections. Thin-Walled Struct 122:42–51. https://doi.org/10.1016/j.tws.2017.10.010

    Article  Google Scholar 

  36. Hu D, Wang Y, Song B, Dang L, Zhang Z (2019) Energy-absorption characteristics of a bionic honeycomb tubular nested structure inspired by bamboo under axial crushing. Compos B Eng 162:21–32. https://doi.org/10.1016/j.compositesb.2018.10.095

    Article  Google Scholar 

  37. Gong C, Bai Z, Lv J, Zhang L (2020) Crashworthiness analysis of bionic thin-walled tubes inspired by the evolution laws of plant stems. Thin-Walled Struct. https://doi.org/10.1016/j.tws.2020.107081

    Article  Google Scholar 

  38. Ha NS, Pham TM, Chen W, Hao H, Lu G (2021) Crashworthiness analysis of bio-inspired fractal tree-like multi-cell circular tubes under axial crushing. Thin-Walled Struct. https://doi.org/10.1016/j.tws.2021.108315

    Article  Google Scholar 

  39. Ha NS, Pham TM, Hao H, Lu G (2021) Energy absorption characteristics of bio-inspired hierarchical multi-cell square tubes under axial crushing. Int J Mech Sci. https://doi.org/10.1016/j.ijmecsci.2021.106464

    Article  Google Scholar 

  40. Zhang Y, Wang J, Wang C, Zeng Y, Chen T (2018) Crashworthiness of bionic fractal hierarchical structures. Mater Des 158:147–159. https://doi.org/10.1016/j.matdes.2018.08.028

    Article  Google Scholar 

  41. Gibson LJ (2012) The hierarchical structure and mechanics of plant materials. J R Soc Interface 9:2749–2766. https://doi.org/10.1098/rsif.2012.0341

    Article  CAS  Google Scholar 

  42. Zhang W, Yin S, Yu TX, Xu J (2019) Crushing resistance and energy absorption of pomelo peel inspired hierarchical honeycomb. Int J Impact Eng 125:163–172. https://doi.org/10.1016/j.ijimpeng.2018.11.014

    Article  Google Scholar 

  43. Zhang W, Yu TX, Xu J (2022) Uncover the underlying mechanisms of topology and structural hierarchy in energy absorption performances of bamboo-inspired tubular honeycomb. Extreme Mech Lett. https://doi.org/10.1016/j.eml.2022.101640

    Article  Google Scholar 

  44. Zhang D, Lu G, Ruan D, Fei Q (2020) Energy absorption in the axial crushing of hierarchical circular tubes. Int J Mech Sci. https://doi.org/10.1016/j.ijmecsci.2019.105403

    Article  Google Scholar 

  45. Zhang Y, Xu X, Wang J, Chen T, Wang CH (2018) Crushing analysis for novel bio-inspired hierarchical circular structures subjected to axial load. Int J Mech Sci 140:407–431. https://doi.org/10.1016/j.ijmecsci.2018.03.015

    Article  Google Scholar 

  46. Fu J, Liu Q, Liufu K, Deng Y, Fang J, Li Q (2019) Design of bionic-bamboo thin-walled structures for energy absorption. Thin-Walled Struct 135:400–413. https://doi.org/10.1016/j.tws.2018.10.003

    Article  Google Scholar 

  47. Chen BC, Zou M, Liu GM, Song JF, Wang HX (2018) Experimental study on energy absorption of bionic tubes inspired by bamboo structures under axial crushing. Int J Impact Eng 115:48–57. https://doi.org/10.1016/j.ijimpeng.2018.01.005

    Article  Google Scholar 

  48. Palombini FL, JEdA Mariath, BFd Oliveira, (2020) Bionic design of thin-walled structure based on the geometry of the vascular bundles of bamboo. Thin-Walled Struct. https://doi.org/10.1016/j.tws.2020.106936

    Article  Google Scholar 

  49. Abdul Khalil HPS, Bhat IUH, Jawaid M, Zaidon A, Hermawan D, Hadi YS (2012) Bamboo fibre reinforced biocomposites: a review. Mater Des 42:353–368. https://doi.org/10.1016/j.matdes.2012.06.015

    Article  CAS  Google Scholar 

  50. Wegst UG, Bai H, Saiz E, Tomsia AP, Ritchie RO (2015) Bioinspired structural materials. Nat Mater 14:23–36. https://doi.org/10.1038/nmat4089

    Article  CAS  Google Scholar 

  51. Zhang X, Zhang H (2014) Axial crushing of circular multi-cell columns. Int J Impact Eng 65:110–125. https://doi.org/10.1016/j.ijimpeng.2013.12.002

    Article  Google Scholar 

  52. Kim H-S (2002) New extruded multi-cell aluminum profile for maximum crash energy absorption and weight efficiency. Thin-Walled Struct 40:311–327

    Article  Google Scholar 

  53. He Q, Wang Y, Shi X, Jing X, Jiang Y (2022) Crushing behavior on the cylindrical tube based on lotus leaf vein branched structure. Mech Mater. https://doi.org/10.1016/j.mechmat.2021.104205

    Article  Google Scholar 

  54. Tao Y, Li W, Cheng T et al (2020) Out-of-plane dynamic crushing behavior of joint-based hierarchical honeycombs. J Sandwich Struct Mater 23:2832–2855. https://doi.org/10.1177/1099636220909783

    Article  Google Scholar 

  55. Tao Y, Duan S, Wen W, Pei Y, Fang D (2017) Enhanced out-of-plane crushing strength and energy absorption of in-plane graded honeycombs. Compos B Eng 118:33–40. https://doi.org/10.1016/j.compositesb.2017.03.002

    Article  Google Scholar 

  56. H Zhou, L Zhu, S Zhang (2019) Experimental study on ultimate strength of thin-walled square tube under axial compression. Proceedings of the ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering 58783: V003T002A099. https://doi.org/10.1115/OMAE2019-96134

  57. Santosa SP, Wierzbicki T, Hanssen AG, Langseth M (2000) Experimental and numerical studies of foam-filled sections. Int J Impact Eng 24:509–534

    Article  Google Scholar 

  58. Langseth M, Hopperstad OS (1996) Static and dynamic axial crushing of square thin-walled aluminium extrusions. Int J Impact Eng 18:949–968

    Article  Google Scholar 

  59. M Langseth, O Lademo (1994) Tensile and torsion testing of AA6060-T4 and T6 aluminium alloys at various strain rates. Department of Structural Engineering,The Norwegian Institute of Technology, Tech. Report.

  60. Hanssen AG, Langseth M, Hopperstad OS (2000) static and dynamic crushing of circular aluminum extrusions with aluminum foam filler. Int J Impact Eng 24:475–507

    Article  Google Scholar 

  61. Li J, Zhang Y, Kang Y, Zhang F (2021) Characterization of energy absorption for side hierarchical structures under axial and oblique loading conditions. Thin-Walled Struct. https://doi.org/10.1016/j.tws.2021.107999

    Article  Google Scholar 

  62. Abramowicz W, Jones N (1984) Dynamic axial crushing of square tubes. Int J Impact Eng 2:179–208

    Article  Google Scholar 

  63. Tabacu S (2015) Axial crushing of circular structures with rectangular multi-cell insert. Thin-Walled Struct 95:297–309. https://doi.org/10.1016/j.tws.2015.07.011

    Article  Google Scholar 

  64. Zhang X, Zhang H (2013) Energy absorption of multi-cell stub columns under axial compression. Thin-Walled Struct 68:156–163. https://doi.org/10.1016/j.tws.2013.03.014

    Article  Google Scholar 

  65. Zhang X, Zhang H (2012) Numerical and theoretical studies on energy absorption of three-panel angle elements. Int J Impact Eng 46:23–40. https://doi.org/10.1016/j.ijimpeng.2012.02.002

    Article  Google Scholar 

Download references

Acknowledgements

The research work disclosed in this publication is funded by the National Natural Science Foundation of China (11802044).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yong Tao.

Ethics declarations

Conflict of interest

All authors declare that they have no conflict of interest.

Additional information

Handling Editor: P. Nash.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, F., Zhou, X., Zhou, D. et al. Crashworthiness analysis of bio-inspired hierarchical circular tube under axial crushing. J Mater Sci 58, 101–123 (2023). https://doi.org/10.1007/s10853-022-07982-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10853-022-07982-3

Navigation