Acta Mechanica Solida Sinica

, Volume 25, Issue 6, pp 616–626 | Cite as

Bending Behavior of Empty and Foam-Filled Aluminum Tubes with Different Cross-Sections

  • M. H. Shojaeifard
  • H. R. Zarei
  • R. Talebitooti
  • M. Mehdikhanlo
Article

Abstract

In this paper, the energy absorption mechanism of empty and foam-filled aluminum tubes with different cross-sections (circular, square and elliptic) under bending load is investigated numerically. The load-displacement curves of the present simulations are in very good agreement with those of published experimental data. Here, the existing analytical formulations are reviewed and compared with experimental results. In addition, the effects of different cross-sections and wall thicknesses on the energy absorption capacity and specific energy absorption of these tubes are fully investigated. The results indicate that the energy absorption of an elliptic foam-filled tube with 1.5 mm and 2 mm thicknesses increases about 45% and 73% in comparison with a square one, respectively.

Key words

plastic bending foam filled energy absorption 

Nomenclature

D

tube width

L

tube length

PMax

maximum load peak

υP

plastic coefficient of contraction

Y

yield stress

α

shape factor

εD

compaction strain

µ

coefficient of friction

ρf0

density of the base material

σ0.2

yield stress

σij

principal shell stresses

σe

effective Von Mises stress

σp

plateau stress

d

impactor diameter

Pmean

mean crash load

T

tube thickness

V (t)

velocity field

η

crash load efficiency

α2

foam material parameters

εij

principal shell strains

ρf

foam density

σfail

tensile failure stress

σu

ultimate stress

σ̂

equivalent stress

σm

mean stress

Φ

yield stress function

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Liu, Y.C. and Day, M.L., Bending collapse of thin-walled circular tubes and computational application. Thin-Walled Structures Journal, 2008, 46: 442–450.CrossRefGoogle Scholar
  2. [2]
    Wierzbicki, T., Recke, L., Abramowicz, W., Gholami, T. and Huang, J., Stress profiles in thin-walled prismatic columns subjected to crash loading—II. Bending. Composite Structures Journal, 1994, 51: 625–641.CrossRefGoogle Scholar
  3. [3]
    Kim, T.H. and Reid, S.R., Bending collapse of thin-walled rectangular section columns. Computer and Structure Journal, 2001, 79: 1897–1911.CrossRefGoogle Scholar
  4. [4]
    Kecman, D., Bending collapse of rectangular and square section tube. International Journal of Mechanical Science, 1983, 25(9–10): 623–636.CrossRefGoogle Scholar
  5. [5]
    Johnson, W., Soden, P.D. and Al-Hassani, S.T.S., In-extensional collapse of thin-walled tube under axial compression. Journal of Strain Analysis, 1977, 12(4): 317–330.CrossRefGoogle Scholar
  6. [6]
    Abramowicz, W. and Johnson, N., Dynamic axial crushing of circular tubes. International Journal of Impact Engineering, 1984, 2(3): 263–281.CrossRefGoogle Scholar
  7. [7]
    Liu, Y.C. and Day, M.L., Bending collapse of thin-walled beams with channel cross-section. International Journal of Crashworthiness, 2006, 11(3): 251–262.CrossRefGoogle Scholar
  8. [8]
    Seung Min Jang, Yuuki Kawai and Chiaki Sato, Energy absorption characteristics on aluminum beams strengthened with CFRP laminates under impact loading. Key Engineering Materials, 2005, 297–300: 1344–1349.CrossRefGoogle Scholar
  9. [9]
    Abramowicz, W. and Wierzbicki, T., Axial crushing of multi-corner sheet metal columns. Journal of Applied Mechanics, 1989, 53: 113–20.CrossRefGoogle Scholar
  10. [10]
    Abramowicz, W., Simplified crushing analysis of thin-walled columns and beams. Rozprawy Inzynierskie, Engineering Transportation Journal, 1981, 29(1): 5–26.MATHGoogle Scholar
  11. [11]
    McGregor, I.J., Meadows, D.J., Scott, C.E. and Seeds, A.D., Impact performance of aluminium structures. Chapter 10, Structural crashworthiness and failure. London and New York: Elsevier Applied Science, 1993.Google Scholar
  12. [12]
    Recke, L. and Sielaff, J., Simulation of crash behavior of a passenger car body in the predevelopment stage by stage by means of simplified FE model. In: Proceedings of VDI Conference Series, Dusseldorf, 1990: 818.Google Scholar
  13. [13]
    Zarei, H.R. and Kroger, M., Bending behavior of empty and foam-filled beams: Structural optimization. International Journal of Impact Engineering, 2008, 35: 521–529.CrossRefGoogle Scholar
  14. [14]
    Deb, A., Mahendrakumara, M.S., Chavana, C., Karve, J., Blankenburg, D. and Storen, S., Design of an aluminum-based vehicle platform for front impact safety. International Journal of Impact Engineering, 2004, 30: 1055.CrossRefGoogle Scholar
  15. [15]
    Reyes, A., Hopperstad, O.S., Hanssen, A.G. and Langseth, M., Modeling of material failure in foam-based components. International Journal of Impact Engineering, 2004, 30: 805.CrossRefGoogle Scholar
  16. [16]
    Deshpande, V.S. and Fleck, N.A., Isotropic models for metallic Foams. Journal of the Mechanics and Physics of Solids, 2000, 48: 1253–1283.CrossRefGoogle Scholar
  17. [17]
    Wierzbicki, T., Recke, L., Abramowicz, W., Gholami, T. and Huang, J., Stress profiles in thin-walled prismatic columns subjected to crash loading—II. Bending. Computer and Structure Journal, 1994, 51: 625–641.CrossRefGoogle Scholar
  18. [18]
    Chen, W., Wierzbicki, T., Santosa, S., Bending collapse of thin-walled beams with ultralight filler: numerical simulation and weight optimization. Acta Mechanica Journal, 2002, 153: 183–206.CrossRefGoogle Scholar
  19. [19]
    Santosa, S., Crashworthiness Analysis of Ultralight Metal Structures. PhD thesis, Massachusetts Institute of Technology, 1999.Google Scholar
  20. [20]
    Santosa, S.P., Wierzbicki, T., Effect of an ultralight metal filler on the bending collapse behavior of thin-walled prismatic columns. International Journal of Mechanical Science, 1999, 41: 995–1019.CrossRefGoogle Scholar
  21. [21]
    Shahbeyk, S., Vafai, A. and Estekanchi, H.E., A parametric study of the bending crush performance of empty and metal foam-filled box-beams. International Journal of Crashworthiness, 2004, 9: 643–652.CrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2012

Authors and Affiliations

  • M. H. Shojaeifard
    • 1
  • H. R. Zarei
    • 2
  • R. Talebitooti
    • 1
  • M. Mehdikhanlo
    • 1
  1. 1.School of Automotive EngineeringIran University of Science and TechnologyTehranIran
  2. 2.Faculty of Aerospace EngineeringAeronautical University of Science and TechnologyTehranIran

Personalised recommendations