Modes of Collapse of Compress–Expand Member under Axial Loading

In this paper, a study on the modes of collapse of compress- expand members are presented. Compress- expand member is a compact, multiple-combined cylinders, to be proposed as energy absorbers. Previous studies on the compress- expand member have clarified its energy absorption efficiency, proposed an approximate equation to describe its deformation characteristics and also highlighted the improvement that it has brought. However, for the member to be practical, the actual range of geometrical dimension that it can maintain its applicability must be investigated. In this study, using a virtualized materials that comply the bilinear hardening law, Finite element Method (FEM) analysis on the collapse modes of compress- expand member have been conducted. Deformation maps that plotted the member's collapse modes with regards to the member's geometric and material parameters were then presented in order to determine the dimensional range of each collapse modes.




References:

[1] A. A. Alghamdi, "Collapsible impact energy absorbers: An overview,"
Thin-Walled Structures, vol. 39, pp.189-213, 2001.
[2] J. M. Alexander, "An approximate analysis of the collapse of thin
cylindrical shells under axial loading," Quarterly Journal of Mechanics
and Applied Mathematics, vol. 13, no. 1, pp. 10-15, 1960.
[3] K. R. Andrews, G. L. England, and E. Ghani, "Classification of the axial
collapse of cylindrical tubes under quasi-static loading," Int. J. Mech. Sci.,
vol. 25, no. 9-10, pp. 687-696, 1983.
[4] D. Chen and K. Masuda, "Deformation modes for axial crushing of
cylindrical tubes considered of the edge effect," in Japanese, Transactions
of the Japan Society of Mechanical Engineers, vol.73, no.773, pp.
1029-1036, 2007.
[5] W. Abramowicz and N. Jones, "Transition from initial global bending to
progressive buckling of tubes loaded statically and dynamically,"
International J. Impact Engineering, vol. 19, , pp. 415-437, 1997.
[6] D. Chen, T. Hiratsuka, "Study of axially crushed cylindrical tubes with
corrugated surface based on numerical analysis," in Japanese,
Transactions of the Japan Society of Mechanical Engineers, vol. 72, no.
722, pp. 1464-1471, 2006.
[7] D. Chen et al., "Crushing behaviour of hexagonal thin-walled tube with
partition plates," in Japanese, Transactions of the Japan Society of
Mechanical Engineers, vol. 72, no. 724, pp. 1978-1984, 2006.
[8] D. P. Wood and C. K. Simms, "Car size and injury risk: A model for
injury risk in frontal collision," Accident Analysis and Prevention, vol. 34,
pp. 93-99, 2002.
[9] S. Haruyama, H. Tanaka, D. Chen, and B. M. Aidil Khaidir, "Study on the
deformation modes of axially crushed compact impact absorption
member," World Academy of Science, Engineering, and Technology,
issue 66, no. 225, pp. 1222-1230, 2012.
[10] S. Haruyama, H. Tanaka, D. Chen, and B. M. Aidil Khaidir, "Axially
crushed characteristics of compact impact absorption member," Proc. 8th
Int. Con. Innovation & Management, Kokura, 2011, pp. 1047-1051.
[11] W. Abramowicz and N. Jones, "Dynamic progressive buckling of circular
and square tubes," International J. Impact Engineering, vol. 4, no. 4, pp.
243-270, 1986.
[12] T. Hiratsuka, D. Chen, and K. Ushijima, "Axially compression of
corrugated cylinder," The Society of Automotive Engineers of Japan,
paper no. 20055304.
[13] K. Ushijima, S. Haruyama, H. Hanawa, and D. Chen, "Strain
concentration for cylindrical tubes subjected to axial compression," in
Japanese, Transactions of the Japan Society of Mechanical Engineers,
vol. 71, no. 707, pp. 1023-1029, 2005.
[14] K. Ushijima et al. "Study on axially crushed cylindrical tubes with
grooved surface," in Japanese, Transactions of the Japan Society of
Mechanical Engineers, vol. 71, no. 707, pp. 1015-1022, 2005.
[15] K. Ushijima, et al. "Strain concentration for cylindrical tubes subjected to
axial compression," in Japanese, Transactions of the Japan Society of
Mechanical Engineers, vol. 71, no. 707, pp. 1023-1029, 2005.
[16] T. Wierzbicki, S. U. Bhat, W. Abramowicz, and D. Brodkin, "Alexander
revisited: A two folding elements model of progressive crushing of
tubes," International Journal of Solids and Structures, vol. 29, no. 24, pp.
3269-3288, 1992.
[17] W. Abramowicz, and N. Jones, "Dynamic axial crushing of circular
tubes," International Journal of Impact Engineering, vol. 2, no. 3, pp.
263-281, 1984.