Energy absorption of circular aluminium tubes with functionally graded thickness under axial impact loading

References

• W. Abramowicz, Thin-walled structures as impact energy absorbers, Thin-Walled Struct. 41 (2003), pp. 91–107.
   Web of Science ®Google Scholar
• W. Abramowicz and N. Jones, Dynamic axial crushing of circular tubes, Int. J. Impact Eng. 2 (1984), pp. 263–281.
   Google Scholar
• D. Al Galib and A. Limam, Experimental and numerical investigation of static and dynamic axial crushing of circular aluminum tubes, Thin-Walled Struct. 42 (2004), pp. 1103–1137.
   Web of Science ®Google Scholar
• A.A.A. Alghamdi, Collapsible impact energy absorbers: An overview, Thin-Walled Struct. 39 (2001), pp. 189–213.
   Web of Science ®Google Scholar
• R.F. Andrews, G.L. England, and E. Ghani, Classification of the axial collapse of cylindrical tubes under quasi-static loading, Int. J. Mech. Sci. 25 (1983), pp. 687–696.
   Web of Science ®Google Scholar
• G. Chu, G. Liu, S. Yuan, and W. Liu, Characteristics of thickness distribution of tailor welded tube hydroforming, J. Central South Univ. Technol. 18 (2011), pp. 1813–1818.
   Web of Science ®Google Scholar
• Dassault Systems Inc. Abaqus User's Manual Ver. 6.13, Dausault Systems Inc., Lowell, MA, 2014. Available at: www.simulia.com.
   Google Scholar
• Z. Fan, G. Lu, and K. Liu, Quasi-static axial compression of thin-walled tubes with different cross-sectional shapes, Eng. Struct. 55 (2013), pp. 80–89.
   Web of Science ®Google Scholar
• H. Gedikli, Numerical investigation of axial crushing behavior of a tailor welded tube, Mater. Des. 44 (2013), pp. 587–595.
   Web of Science ®Google Scholar
• A. Ghamarian and M. Tahaye Abadi, Axial crushing analysis of end-capped circular tubes, Thin-Walled Struct. 49 (2011), pp. 743–752.
   Web of Science ®Google Scholar
• A. Ghamarian and H. Zarei, Crashworthiness investigation of conical and cylindrical end-capped tubes under quasi-static crash loading, Int. J. Crashworthiness 17 (2012), pp. 19–28.
   Web of Science ®Google Scholar
• S.R. Guillow, G. Lu, and R.H. Grzebieta, Quasi-static axial compression of thin-walled circular aluminum tubes, Int. J. Mech. Sci. 43 (2001), pp. 2103–2123.
   Web of Science ®Google Scholar
• N.K. Gupta, G.L. Easwara Prasad, and S.K. Gupta, Plastic collapse of metallic conical frusta of large semi-apical angles, Int. J. Crashworthiness 2 (1997), pp. 349–366.
   Google Scholar
• M.A. Güler, M.E. Cerit, B. Bayram, B. Gerçeker, and E. Karakaya, The effect of geometrical parameters on the energy absorption characteristics of thin-walled structures under axial impact loading, Int. J. Crashworthiness 15 (2010), pp. 377–390.
   Web of Science ®Google Scholar
• K. Hariharan, K. Kalaivani, and G. Balachandran, Foil optimization in tailor welded blank of an automotive floor component, Mater. Manuf. Process 27 (2012), pp. 936–942.
   Web of Science ®Google Scholar
• W. Hong, F. Jin, J. Zhou, Z. Xia, Y. Xu, L. Yang, Q. Zheng, and H. Fan, Quasi-static axial compression of triangular steel tubes, Thin-Walled Struct. 62 (2013), pp. 10–17.
   Web of Science ®Google Scholar
• S.J. Hosseinipour and G.H. Daneshi, Energy absorption and mean crushing load of thin-walled grooved tubes under axial compression, Thin-Walled Struct. 41 (2003), pp. 31–46.
   Web of Science ®Google Scholar
• S. Hou, X. Han, G. Sun, S. Long, W. Li, X. Yang, and Q. Li, Multiobjective optimization for tapered circular tubes, Thin-Walled Struct. 49 (2011), pp. 855–863.
   Web of Science ®Google Scholar
• S. Hou, Q. Li, S. Long, X. Yang, and W. Li, Design optimization of regular hexagonal thin-walled columns with crashworthiness criteria, Finite Elem. Anal. Des. 43 (2007), pp. 555–565.
   Web of Science ®Google Scholar
• S.S. Hsu and N. Jones, Quasi-static and dynamic axial crushing of thin-walled circular stainless steel, mild steel and aluminum alloy tubes, Int. J. Crashworthiness 9 (2004), pp. 195–217.
   Web of Science ®Google Scholar
• V. Jandaghi Shahi and J. Marzbanrad, Analytical and experimental studies on quasi-static axial crush behavior of thin-walled tailor-made aluminum tubes, Thin-Walled Struct. 60 (2012), pp. 24–37.
   Web of Science ®Google Scholar
• N. Jones, Structural Impact, Cambridge University Press, Cambridge, 1989.
   Google Scholar
• D. Karagiozova and M. Alves, Dynamic elastic-plastic buckling of structural elements: A review, Appl. Mech. Rev. 61 (2008), pp. 040803–040801.
   Web of Science ®Google Scholar
• D. Karagiozova, G.N. Nurick, and S.C.K. Yuen, Energy absorption of aluminium alloy circular and square tubes under an axial explosive load, Thin-Walled Struct. 43 (2005), pp. 956–982.
   Web of Science ®Google Scholar
• A.G. Langseth, O.S. Hopperstad, and A.G. Hanssen, Crash behavior of thin-walled aluminum members, Thin-Walled Struct. 32 (1998), pp. 127–150.
   Web of Science ®Google Scholar
• A.G. Mamalis, D.E. Manolakos, M.B. Ioannidis, D.G. Chronopoulos, and P.K. Kostazos, On the crashworthiness of composite rectangular thin-walled tubes internally reinforced with aluminium or polymeric foams: Experimental and numerical simulation, Compos. Struct. 89 (2009), pp. 416–423.
   Web of Science ®Google Scholar
• A.G. Mamalis, D.E. Manolakos, M.B. Ioannidis, P.K. Kostazos, and G. Hassiotis, Finite element simulation of the axial collapse of thin-wall square frusta, Int. J. Crashworthiness 6 (2001), pp. 155–164.
   Web of Science ®Google Scholar
• J. Marsolek and H.G. Reimerdes, Energy absorption of metallic cylindrical shells with induced non-axisymmetric folding patterns, Int. J. Impact Eng. 30 (2004), pp. 1209–1223.
   Web of Science ®Google Scholar
• J. Marzbanrad and M.R. Ebrahimi, Multi-objective optimization of aluminum hollow tubes for vehicle crash energy absorption using a genetic algorithm and neural networks, Thin-Walled Struct. 49 (2011), pp. 1605–1615.
   Web of Science ®Google Scholar
• J. Marzbanrad, M. Mehdikhanlo, and A. Saeedi pour, An energy absorption comparison of square, circular, and elliptic steel and aluminum tubes under impact loading, Turkish J. Eng. Environ. Sci. 33 (2009), pp. 159–166.
   Google Scholar
• A. Meran, C. Baykasoglu, A. Mugan, and T. Toprak, Development of crash energy management design for a railway passenger car, Proc. Inst. Mech. Eng. F. 2014 (available online), doi:10.1177/0954409714533321.
   Google Scholar
• A. Meyer, B. Wietbrock, and G. Hirt, Increasing of the drawing depth using tailor rolled blanks-numerical and experimental analysis, Int. J. Mach. Tools Manuf. 48 (2008), pp. 522–531.
   Web of Science ®Google Scholar
• G.M. Nagel and D.P. Thambiratnam, Dynamic simulation and energy absorption of tapered thin-walled tubes under oblique impact loading, Int. J. Impact Eng. 32 (2006), pp. 1595–1620.
   Web of Science ®Google Scholar
• A. Partovi Meran, T. Toprak, and A. Muğan, Numerical and experimental study of crashworthiness parameters of honeycomb structures, Thin-Walled Struct. 78 (2014), pp. 87–94.
   Web of Science ®Google Scholar
• C. Qi, S. Yang, and F. Dong, Crushing analysis and multiobjective crashworthiness optimization of tapered square tubes under oblique impact loading, Thin-Walled Struct. 59 (2012), pp. 103–119.
   Web of Science ®Google Scholar
• S.R. Reid and T.Y. Reddy, Static and dynamic crushing of tapered sheet metal tubes of rectangular cross-section, Int. J. Mech. Sci. 28 (1986), pp. 23–37.
   Web of Science ®Google Scholar
• S. Salehghaffari, M. Tajdari, M. Panahi, and F. Mokhtarnezhad, Attempts to improve energy absorption characteristics of circular metal tubes subjected to axial loading, Thin-Walled Struct. 48 (2010), pp. 379–390.
   Web of Science ®Google Scholar
• M. Shakeri, R. Mirzaeifar, and S. Salehghaffari, New insights into the collapsing of cylindrical thin-walled tubes under axial impact load, Proc. Int. Mech. Eng. C 221 (2007), pp. 1–17.
   PubMed Web of Science ®Google Scholar
• B. Simhachalam, K. Srinivas, and L. Rao, Energy absorption characteristics of aluminium alloy AA7XXX and AA6061 tubes subjected to static and dynamic axial load, Int. J. Crashworthiness 19 (2014), pp. 139–152.
   Web of Science ®Google Scholar
• J. Song, Y. Chen, and G.X. Lu, Axial crushing of thin-walled structures with origami patterns, Thin-Walled Struct. 54 (2012), pp. 65–71.
   Web of Science ®Google Scholar
• J. Song and F. Guo, A comparative study on the windowed and multi-cell square tubes under axial and oblique loading, Thin-Walled Struct. 66 (2013), pp. 9–14.
   Web of Science ®Google Scholar
• J. Song, Y. Zhou, and F. Guo, A relationship between progressive collapse and initial buckling for tubular structures under axial loading, Int. J. Mech. Sci. 75 (2013), pp. 200–211.
   Web of Science ®Google Scholar
• G. Sun, F. Xu, G. Li, and Q. Li, Crashing analysis and multiobjective optimization for thin-walled structures with functionally graded thickness, Int. J. Impact Eng. 64 (2014), pp. 62–74.
   Web of Science ®Google Scholar
• F. Xu, G. Sun, G. Li, and Q. Li, Crashworthiness design of multi-components tailor-welded blank (TWB) structures, Struct. Multidiscipl. Optim. 48 (2013), pp. 653–657.
   Web of Science ®Google Scholar
• F. Xu, G. Sun, G. Li, and Q. Li, Experimental study on crashworthiness of tailor-welded blank (TWB) thin-walled high-strength steel (HSS) tubular structures, Thin-Walled Struct. 74 (2014), pp. 12–27.
   Web of Science ®Google Scholar
• R.J. Yang, Y. Fu, and G. Li, Application of tailor rolled blank in vehicle front end for frontal impact. SAE World Congress, Detroit, MI. April 16–19, 2007 (Technical Papers 2007-01-0675).
   Google Scholar
• H. Yin, G. Wen, S. Hou, and Q. Qing, Multiobjective crashworthiness optimization of functionally lateral graded foam-filled tubes. Mater. Des. 44 (2013), pp. 414–428.
   Web of Science ®Google Scholar
• H.R. Zarei and M. Kroger, Multiobjective crashworthiness optimization of circular aluminum tubes, Thin-Walled Struct. 44 (2006), pp. 301–308.
   Web of Science ®Google Scholar
• H.R. Zarei and M. Kröger, Crashworthiness optimization of empty and filled aluminum crash boxes, Int. J. Crashworthiness 12 (2007), pp. 255–264.
   Web of Science ®Google Scholar
• L.-L. Zhang, G.A.O. Feng, and D.U. Fa-rong, Experimental and numerical investigation of axial crushing of dissimilar thickness tailor-welded tube, J. Plastic. Eng. 13 (2006), pp. 7–11 (in Chinese).
   Google Scholar
• X. Zhang and H. Zhang, Experimental and numerical investigation on crush resistance of polygonal and angle elements, Thin-Walled Struct. 57 (2012), pp. 25–36.
   Web of Science ®Google Scholar