Journal of Failure Analysis and Prevention

, Volume 18, Issue 1, pp 174–182 | Cite as

Improved Energy Absorption Mechanism: Expansion of Circular Tubes by Rigid Tubes During the Axial Crushing

  • Bahman Paygozar
  • Mohammad Ali Saeimi Sadigh
Technical Article---Peer-Reviewed


This study suggests three methods of enhancing energy dissipation capacity by means of the expansion of deformable tubes by a rigid tube in case of axial crushing. In this mechanism of energy dissipation, a rigid tube is being press-fitted into a deformable tube during the axial crushing. This mechanism dissipates energy through the circumferential expansions of the deformable tube and friction force between tubes. In this regard, three different methods have been studied in aid of improving the energy absorption capacity of the absorber systems in addition to economizing on the manufacturing cost. The methods include reinforcing the tubes by attaching horizontal and vertical lateral parts as well as using a combination of them. Finite element solution was adopted to simulate models’ deformation and energy absorption capacity. As a result, it was found out that the tubes reinforced by a combination of horizontal and vertical lateral parts indicate higher energy dissipation capacities in addition to lower production costs.


Energy absorption Circular tubes Lateral parts Finite element 

List of symbols


Base model


Model reinforced by vertical lateral bars


Model reinforced by horizontal lateral rings


Model reinforced by lateral bars and rings


Normalized weight of deformable tube


Amount of absorbed energy

\((F_{\hbox{max} })\)

Maximum load experienced during the axial crushing


Length of vertical lateral bar


Thickness of vertical lateral bar


Revolution angle of vertical lateral bar


Number of vertical lateral bars


Length of horizontal lateral ring


Thickness of horizontal lateral ring


Revolution angle of horizontal lateral ring


Number of horizontal lateral rings


  1. 1.
    W. Johnson, S.R. Reid, Metallic energy dissipating systems. Appl. Mech. Rev. 31, 277–288 (1978)Google Scholar
  2. 2.
    N. Jones, Structural Impact (Cambridge University Press, Cambridge, 1990)CrossRefGoogle Scholar
  3. 3.
    Z. Yang, H. Yan, C. Huang, X. Diao, X. Wu, S. Wang, L. Lu, L. Liao, Y. Wei, Experimental and numerical study of circular, stainless thin tube energy absorber under axial impact by a control rod. Thin Walled Struct. 82(Supplement C), 24–32 (2014)CrossRefGoogle Scholar
  4. 4.
    X. Zhang, K. Leng, H. Zhang, Axial crushing of embedded multi-cell tubes. Int. J. Mech. Sci. 131–132(Supplement C), 459–470 (2017)CrossRefGoogle Scholar
  5. 5.
    S. Salehghaffari, M. Tajdari, M. Panahi, F. Mokhtarnezhad, Attempts to improve energy absorption characteristics of circular metal tubes subjected to axial loading. Thin Walled Struct. 48(6), 379–390 (2010)CrossRefGoogle Scholar
  6. 6.
    E. Acar, M.A. Guler, B. Gerçeker, M.E. Cerit, B. Bayram, Multi-objective crashworthiness optimization of tapered thin-walled tubes with axisymmetric indentations. Thin Walled Struct. 49(1), 94–105 (2011)CrossRefGoogle Scholar
  7. 7.
    S.R. Guillow, G. Lu, R.H. Grzebieta, Quasi-static axial compression of thin-walled circular aluminium tubes. Int. J. Mech. Sci. 43(9), 2103–2123 (2001)CrossRefGoogle Scholar
  8. 8.
    M.A. Guler, M.E. Cerit, B. Bayram, B. Gerçeker, E. Karakaya, The effect of geometrical parameters on the energy absorption characteristics of thin-walled structures under axial impact loading. Int. J. Crashworth. 15(4), 377–390 (2010)CrossRefGoogle Scholar
  9. 9.
    T.Y. Reddy, S.R. Reid, Axial splitting of circular metal tubes. Int. J. Mech. Sci. 28(2), 111–131 (1986)CrossRefGoogle Scholar
  10. 10.
    W.J. Stronge, T.X. Yu, W. Johnson, Long stroke energy dissipation in splitting tubes. Int. J. Mech. Sci. 25(9), 637–647 (1983)CrossRefGoogle Scholar
  11. 11.
    S. Chung Kim Yuen, W. Altenhof, C.J. Opperman, G.N. Nurick, Axial splitting of circular tubes by means of blast load. Int. J. Impact Eng 53(Supplement C), 17–28 (2013)CrossRefGoogle Scholar
  12. 12.
    J. Li, G. Gao, H. Dong, S. Xie, W. Guan, Study on the energy absorption of the expanding–splitting circular tube by experimental investigations and numerical simulations. Thin Walled Struct. 103(Supplement C), 105–114 (2016)CrossRefGoogle Scholar
  13. 13.
    M. Shakeri, S. Salehghaffari, R. Mirzaeifar, Expansion of circular tubes by rigid tubes as impact energy absorbers: experimental and theoretical investigation. Int. J. Crashworth. 12(5), 493–501 (2007)CrossRefGoogle Scholar
  14. 14.
    S. Sharifi, M. Shakeri, H.E. Fakhari, M. Bodaghi, Experimental investigation of bitubal circular energy absorbers under quasi-static axial load. Thin Walled Struct. 89(Supplement C), 42–53 (2015)CrossRefGoogle Scholar
  15. 15.
    J. Yan, S. Yao, P. Xu, Y. Peng, H. Shao, S. Zhao, Theoretical prediction and numerical studies of expanding circular tubes as energy absorbers. Int. J. Mech. Sci. 105(Supplement C), 206–214 (2016)CrossRefGoogle Scholar

Copyright information

© ASM International 2018

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of TabrizTabrizIran
  2. 2.Department of Mechanical EngineeringAzarbaijan Shahid Madani UniversityTabrizIran

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