Crashworthiness study on functionally graded thin-walled structures

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 T. Wierzbicki, Axial crushing of multicorner sheet metal columns, J. Appl. Mech. 56 (1989), pp. 113–120.
   Web of Science ®Google Scholar
• E. Acar, M.A. Guler, B. Gerceker, M.E. Cerit, and B. Bayram, Multi-objective crashworthiness optimization of tapered thin-walled tubes with axisymmetric indentations, Thin-Walled Struct. 49 (2011), pp. 94–105.
   Web of Science ®Google Scholar
• L. Aktay, A.K. Toksoy, and M. Guden, Quasi-static axial crushing of extruded polystyrene foam-filled thin-walled aluminum tubes: experimental and numerical analysis, Mater. Des. 27 (2006), pp. 556–565.
   Web of Science ®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
• C.H. Chuang, R.J. Yang, G. Li, K. Mallela, and P. Pothuraju, Multidisciplinary design optimization on vehicle tailor rolled blank design, Struct. Multidiscip. Optim. 35 (2008), pp. 551–560.
   Web of Science ®Google Scholar
• A.G. Hanssen, M. Langseth, and O.S. Hopperstad, Static and dynamic crushing of circular aluminium extrusions with aluminium foam filler, Int. J. Impact Eng. 24 (2000), pp. 475–507.
   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
• 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
• Z. Kazancı and K.J. Bathe, Crushing and crashing of tubes with implicit time integration, Int. J. Impact Eng. 42 (2012), pp. 80–88.
   Web of Science ®Google Scholar
• D. Lin, Q. Li, W. Li, and M Swain, Bone remodeling induced by dental implants of functionally graded materials, J. Biomed. Mater. Res. B. 92 (2010): pp. 430–438
   Google Scholar
• D. Lin, Q. Li, W. Li, S. Zhou, and MV Swain, Design optimization of functionally graded dental implant for bone remodeling, Composites B. 40 (2009), pp. 668–675.
   Web of Science ®Google Scholar
• Y. Liu, Optimum design of thin-walled box section beams for crashworthiness analysis, Finite Elem. Anal. Des. 44 (2008), pp. 139–147.
   Web of Science ®Google Scholar
• Y. Liu, Design optimisation of tapered thin-walled square tubes, Int. J. Crashworthiness 13 (2008), pp. 543–550.
   Web of Science ®Google Scholar
• Y. Liu, Thin-walled curved hexagonal beams in crashes - FEA and design, Int. J. Crashworthiness 15 (2010), pp. 151–159.
   Web of Science ®Google Scholar
• Y. Liu, Crashworthiness design of thin-walled curved beams with box and channel cross sections, Int. J. Crashworthiness 15 (2010), pp. 413–423.
   Web of Science ®Google Scholar
• C. Magee and P. Thornton, Design considerations in energy absorption by structural collapse, SAE Tech. Paper 780434, Society of Automotive Engineers, 1978.
   Google Scholar
• A.G. Mamalis and W. Johnson, The quasi-static crumpling of thin-walled circular cylinders and frusta under axial compression, Int. J. Mech. Sci. 25 (1983), pp. 713–732.
   Web of Science ®Google Scholar
• A.G. Mamalis, D.E. Manolakos, S. Saigal, G. Viegelahn, and W. Johnson, Extensible plastic collapse of thin-wall frusta as energy absorbers, Int. J. Mech. Sci. 28 (1986), pp. 219–229.
   Web of Science ®Google Scholar
• M. Mirzaei, M. Shakeri, M. Sadighi, and H. Akbarshahi, Experimental and analytical assessment of axial crushing of circular hybrid tubes under quasi-static load, Compos. Struct. 94 (2012), pp. 1959–1966.
   Web of Science ®Google Scholar
• G.M. Nagel and D.P. Thambiratnam, A numerical study on the impact response and energy absorption of tapered thin-walled tubes, Int. J. Mech. Sci. 46 (2004), pp. 201–216.
   Web of Science ®Google Scholar
• G.M. Nagel and D.P. Thambiratnam, Dynamic simulation and energy absorption of tapered tubes under impact loading, Int. J. Crashworthiness 9 (2004), pp. 389–399.
   Web of Science ®Google Scholar
• G.M. Nagel and D.P. Thambiratnam, Computer simulation and energy absorption of tapered thin-walled rectangular tubes, Thin-Walled Struct. 43 (2005), pp. 1225–1242.
   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
• F. Pan and P. Zhu, Lightweight design of vehicle front-end structure: contributions of multiple surrogates, Int. J. Vehicle Des. 57 (2011), pp. 124–147.
   Web of Science ®Google Scholar
• F. Pan, P. Zhu, and Y. Zhang, Metamodel-based lightweight design of B-pillar with TWB structure via support vector regression, Comput. Struct. 88 (2010), pp. 36–44.
   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. 623–637.
   Web of Science ®Google Scholar
• M. Seitzberger, F.G. Rammerstorfer, R. Gradinger, H.P. Degischer, M. Blaimschein, and C. Walch, Experimental studies on the quasi-static axial crushing of steel columns filled with aluminium foam, Int. J. Solids Struct. 37 (2000), pp. 4125–4147.
   Web of Science ®Google Scholar
• J.K. Shin, K.H. Lee, S.I. Song, and G.J. Park, Automotive door design with the ULSAB concept using structural optimization, Struct. Multidiscip. Optim. 23 (2002), pp. 320–327.
   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
• X. Song, G. Sun, G. Li, W. Gao, and Q. Li, Crashworthiness optimization of foam-filled tapered thin-walled structure using multiple surrogate models, Struct. Multidiscip. Optim. 47 (2013), pp. 221–231.
   Web of Science ®Google Scholar
• G. Sun, G. Li, S. Hou, S. Zhou, W. Li, and Q Li, Crashworthiness design for functionally graded foam-filled thin-walled structures, Mater. Sci. Eng. A 527 (2010), pp. 1911–1919
   Web of Science ®Google Scholar
• G.Sun, G. Li, M. Stone, and Q. Li, A two-stage multi-fidelity optimization procedure for honeycomb-type cellular materials, Comput. Mater. Sci. 49 (2010), pp. 500–511.
   Web of Science ®Google Scholar
• G. Sun, G. Li, S. Zhou, H. Li, S. Hou, and Q. Li, Crashworthiness design of vehicle by using multiobjecitve robust optimization, Struct. Multidiscip. Optim. 44 (2011), pp. 99–110.
   Web of Science ®Google Scholar
• G. Sun, X. Tian, J. Fang, F. Xu, G. Li, and X. Huang, Dynamic bending analysis and optimization design for functionally graded thickness (FGT) tube, Int. J. Impact. Eng. 78 (2015), pp. 128–137.
   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
• Z. Tang, S. Liu, and Z. Zhang, Energy absorption properties of non-convex multi-corner thin-walled columns, Thin-Walled Struct. 51 (2012), pp. 112–120.
   Web of Science ®Google Scholar
• Z. Tang, S. Liu, and Z. Zhang, Analysis of energy absorption characteristics of cylindrical multi-cell columns, Thin-Walled Struct. 62 (2013), pp. 75–84.
   Web of Science ®Google Scholar
• V. Tarigopula, M. Langseth, O.S. Hopperstad, and A.H. Clausen, Axial crushing of thin-walled high-strength steel sections, Int. J. Impact Eng. 32 (2006), pp. 847–882.
   Web of Science ®Google Scholar
• P. Thornton, Energy absorption by the structural collapse of spot-welded sheet metal sections, SAE Tech. Paper 800372, Society of Automotive Engineers, 1980.
   Google Scholar
• M. White and N. Jones, Experimental quasi-static axial crushing of top-hat and double-hat thin-walled sections, Int. J. Mech. Sci. 41 (1999), pp. 179–208.
   Web of Science ®Google Scholar
• T. Wierzbicki and W. Abramowicz, On the crushing mechanics of thin-walled structures, J. Appl. Mech. 50 (1983), pp. 727–734.
   Web of Science ®Google Scholar
• F. Xu, G. Sun, G. Li, and Q Li, Experimental investigation on high strength steel (HSS) tailor-welded blanks (TWBs), J. Mater. Process. Technol. 214 (2014), pp. 925–935
   Web of Science ®Google Scholar
• F. Xu, G. Sun, G. Li, and Q. Li, Crashworthiness design of multi-component tailor-welded blank (TWB) structures, Struct. Multidiscip. Optim. 48 (2013), pp. 653–667.
   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 Tech. Paper 01–0675, Society of Automotive Engineers, 2007.
   Google Scholar
• H. Yin, G. Wen, S. Hou, and K. Chen, Crushing analysis and multiobjective crashworthiness optimization of honeycomb-filled single and bitubular polygonal tubes, Mater. Des. 32 (2011), pp. 4449–4460.
   Web of Science ®Google Scholar
• X. Zhang and H. Zhang, Experimental and numerical investigation on crush resistance of polygonal columns and angle elements, Thin-Walled Struct. 57 (2012), pp. 25–36.
   Web of Science ®Google Scholar
• Y. Zhang, G. Sun, G. Li, Z. Luo, and Q. Li, Optimization of foam-filled bitubal structures for crashworthiness criteria. Mater. Des. 38 (2012), pp. 99–109.
   Web of Science ®Google Scholar
• Y. Zhang, G. Sun, G. Li, C Rungsiyakull, and Q Li, Identification of material parameters for high strength steel under impact loading, Adv. Sci. Lett. 4 (2011), pp. 708–714.
   Web of Science ®Google Scholar