Analytical Modeling of Axial Collapse of Circular Hybrid Tubes

Document Type : Research Paper

Authors

1 Assistant Professor, Department of Mechanical Engineering, Damavand Branch, Islamic Azad University, Damavand, Iran

2 Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran

Abstract

In this paper, considering symmetric collapse mode for hybrid tubes, and using Tsai-Hill fracture criterion to take into account the off-axis strength of an orthotropic lamina, an analytical model is extended and an expression is derived for mean crushing load and fold lengths of circular hybrid tubes. In this model, the influences of the geometrical dimensions including diameter, thickness of metal and composite wall, fiber ply orientation and material properties are studied on the mean crushing load and fold lengths. The validation with the previously published results provides reasonably good agreement.

Keywords

Main Subjects


] Lu, G., and Yu, T.X., "Energy Absorption of Structures and Materials", Woodhead Publishing Ltd, Abington Hall, Abington Cambridge CB1 6AH, England, (2003).
 
[2] Guillow, S.R., Lu, G., and Grzebieta, R.H., "Quasi-static Compression of Thin-walled Circular Aluminum Tubes", International Journal of Mechanical Science, Vol. 43, pp.2103–2123, (2001).
 
[3] Kavi, H., Toksoy, A.K., and Guden, M., "Predicting Energy Absorption in a Foam-filled Thin-walled Aluminum Tube Based on Experimentally Determined Strengthening Coefficient", Materials and Design, Vol. 27, pp. 263–269, (2006).
 
[4] Wang, X., Bloch, J., and Cesari, D., "Influence of Composite Reinforcement on Failure Modes of Steel Tubes," SAE Technical Paper 911720, 1991, doi:10.4271/911720.
 
[5] Song, H.W., Wan, Z.M., Xie, Z.M., and Du, X.W., "Axial Impact Behavior and Energy Absorption Efficiency of Composite Wrapped Metal Tubes", International Journal of Impact Engineering, Vol. 24, pp. 385–401, (2000).
 
[6] Bouchet, J., Jacquelin, E., and Hamelin, P., "Dynamic Axial Crushing of Combined Composite Aluminium Tube the Role of both Reinforcement and Surface Treatments", Composites Structures, Vol. 56, pp. 87–96, (2002).
 
[7] Guden, M., Yuksel, S., Tasdemirci, A., and Tanoglu, M., "Effect of Aluminum Closed-cell Foam Filling on the Quasi-static Axial Crush Performance of Glass Fiber Reinforced Polyester Composite and Aluminum/Composite Hybrid Tubes", Composites Structures, Vol. 81, pp. 480-490, (2007).
 
[8] Hanefi, E.H., and Wierzbicki, T., "Axial Resistance and Energy Absorption of Externally Reinforced Metal Tubes", Composites, Part B, Vol. 27B, pp. 387-394, (1996).
 
[9] Alexander, J.M., "An Approximate Analysis of the Collapse of Thin Cylindrical Shells under Axial Loading", The Quarterly Journal of Mechanics and Applied Mathematic, Vol. 13, pp. 11–16, (1960).
 
[10] Wang, X., and Lu, G., "Axial Crushing Force of Externally Fibre-reinforced Metal Tubes", Proceedings of the Institution of Mechanical Engineers, Vol. 216, No. 9, pp. 863–874, (2002).
 
[11] Shin, K.C., Lee, J.J., Kim, K.H., Song, M.C., and Huh, J.S., "Axial Crush and Bending Collapse of an Aluminum/GFRP Hybrid Square Tube and its Energy Absorption Capability", Composites Structures, Vol. 57, pp. 279–287, (2002).
 
[12] Akbarshahi, H., Sadighi, M., Shakeri, M. , and Mirzaei, M., "Mathematical Model for Axial Crushing of Hybrid Square Tubes", Key Engineering Materials, Vol. 471-472, pp. 664-669, (2011).
 
[13] Mamalis, A.G., Manolakos, D.E., Demosthenous, G.A., and Johnson, W., "Axial Plastic Collapse of Thin Bi-material Tubes as Energy Dissipating Systems", International Journal of Impact Engineering, Vol. 11, No. 2, pp.185-196, (1991).
 
[14] Huang, M.Y., Tai, Y.S., and Hu, H.T., "Numerical Study on Hybrid Tubes Subjected to Static and Dynamic Loading", Applied Composite Materials, Vol. 19, No. 1, pp. 1-19 (2012).