Crashworthiness of a crisscross-reinforced square honeycomb under out-of-plane crashing

References

• Alghamdi AAA. Collapsible impact energy absorbers: an overview. Thin Walled Struct. 2001;39:189–213.
   Web of Science ®Google Scholar
• Lu G, Yu T. Energy absorption of structures and materials; 2003; Woodhead Publishing Limblisited, Cambridge England. p. 385–400.
   Google Scholar
• Khan MK, Baig T, Mirza S. Experimental investigation of in-plane and out-of-plane crushing of aluminum honeycomb. Mater Sci Eng A. 2012;539:135–142.
   Web of Science ®Google Scholar
• Farland RKM. Hexagonal cell structures under post-buckling axial load. AIAA J. 1963;1:1380–1385.
   Google Scholar
• Zhang X, Zhang H. Theoretical and numerical investigation on the crush resistance of rhombic and kagome honeycombs. Compos Struct. 2013;96:143–152.
   Web of Science ®Google Scholar
• Mahmoudabadi MZ, Sadighi M. A theoretical and experimental study on metal hexagonal honeycomb crushing under quasi-static and low velocity impact loading. Mater Sci Eng A. 2011;528:4958–4966.
   Web of Science ®Google Scholar
• Sun D, Zhang W. Mean in-plane plateau stresses of hexagonal honeycomb cores under impact loadings. Compos Struct. 2009;91:168–185.
   Web of Science ®Google Scholar
• Xu S, Beynon JH, Dong R, et al. Experimental study of the out-of-plane dynamic compression of hexagonal honeycombs. Compos Struct. 2012;94:2326–2336.
   Web of Science ®Google Scholar
• Xu S, Beynon JH, Ruan D, et al. Strength enhancement of aluminium honeycombs caused by entrapped air under dynamic out-of-plane compression. Int J Impact Eng. 2012;47( 4):1–13.
   Google Scholar
• Zhang X, Zhang H, Wen Z. Experimental and numerical studies on the crush resistance of aluminum honeycombs with various cell configurations. Int J Impact Eng. 2014;66:48–59.
   Web of Science ®Google Scholar
• Yamashita M, Gotoh M. Impact behavior of honeycomb structures with various cell specifications – numerical simulation and experiment. Int J Impact Eng. 2005;32:618–630.
   Web of Science ®Google Scholar
• Wang Z, Qin Q, Chen S, et al. Compressive crushing of novel aluminum hexagonal honeycombs with perforations: experimental and numerical investigations. Int J Solids Struct. 2017;126–127:187–195.
   Web of Science ®Google Scholar
• Zheng Z, Yu J, Li J. Dynamic crushing of 2D cellular structures: a finite element study. Int J Impact Eng. 2005;32:650–664.
   Web of Science ®Google Scholar
• Xie S, Zhou H. Analysis and optimisation of parameters influencing the out-of-plane energy absorption of an aluminium honeycomb. Thin Walled Struct. 2015;89:169–177.
   Web of Science ®Google Scholar
• Wu E, Jiang W-S. Axial crush of metallic honeycombs. Int J Impact Eng. 1997;19:439–456.
   Web of Science ®Google Scholar
• Goldsmith W, Sackman J. An experimental study of energy absorption in impact on sandwich plates. Écon Rural. 1992;204:58–59.
   Google Scholar
• Zhao H, Gary G. Crushing behaviour of aluminium honeycombs under impact loading. Int J Impact Eng. 1998;21:827–836.
   Web of Science ®Google Scholar
• Wierzbicki T. Crushing analysis of metal honeycombs. Int J Impact Eng. 1983;1:157–174.
   Google Scholar
• Wierzbicki T, Abramowicz W. On the crushing mechanics of thin-walled structures. J Appl Mech. 1983;50:727–734.
   Web of Science ®Google Scholar
• Yin H, Wen G. Theoretical prediction and numerical simulation of honeycomb structures with various cell specifications under axial loading. Int J Mech Mater Des. 2011;7:253–263.
   Web of Science ®Google Scholar
• Mohr D, Doyoyo M. Large plastic deformation of metallic honeycomb: orthotropic rate-independent constitutive model. Int J Solids Struct. 2004;41:4435–4456.
   Web of Science ®Google Scholar
• Aktay L, Johnson AF, Kröplin BH. Numerical modelling of honeycomb core crush behaviour. Eng Fract Mech. 2008;75:2616–2630.
   Web of Science ®Google Scholar
• Galib DA, Limam A. Experimental and numerical investigation of static and dynamic axial crushing of circular aluminum tubes. Thin Walled Struct. 2004;42:1103–1137.
   Web of Science ®Google Scholar
• Meguid SA, Attia MS, Monfort A. On the crush behaviour of ultralight foam-filled structures. Mater Des. 2004;25:183–189.
   Web of Science ®Google Scholar
• Gupta N. A functionally graded syntactic foam material for high energy absorption under compression. Mater Lett. 2007;61:979–982.
   Web of Science ®Google Scholar
• Ajdari A, Canavan P, Nayeb-Hashemi H, et al. Mechanical properties of functionally graded 2-D cellular structures: a finite element simulation. Mater Sci Eng A. 2009;499:434–439.
   Web of Science ®Google Scholar
• Ali M, Qamhiyah A, Flugrad D, et al. Theoretical and finite element study of a compact energy absorber. Adv Eng Softw. 2008;39:95–106.
   Web of Science ®Google Scholar
• Ajdari A, Nayeb-Hashemi H, Vaziri A. Dynamic crushing and energy absorption of regular, irregular and functionally graded cellular structures. Int J Solids Struct. 2011;48:506–516.
   Web of Science ®Google Scholar
• Shen CJ, Lu G, Yu TX. Dynamic behavior of graded honeycombs – a finite element study. Compos Struct. 2013;98:282–293.
   Web of Science ®Google Scholar
• Shen CJ, Yu TX, Lu G. Double shock mode in graded cellular rod under impact. Int J Solids Struct. 2013;50:217–233.
   Web of Science ®Google Scholar
• Fan X, Yin X, Tao Y, et al. Mechanical behavior and energy absorption of graded honeycomb materials under out-of-plane dynamic compression. Guti Lixue Xuebao/Acta Mech Solid Sin. 2015;36:114–122.
   Google Scholar
• Zhang Y, Lu M, Wang CH, et al. Out-of-plane crashworthiness of bio-inspired self-similar regular hierarchical honeycombs. Compos Struct. 2016;144:1–13.
   Web of Science ®Google Scholar
• Nia AA, Sadeghi MZ. The effects of foam filling on compressive response of hexagonal cell aluminum honeycombs under axial loading-experimental study. Mater Des. 2010;31:1216–1230.
   Web of Science ®Google Scholar
• Wang Z, Liu J. Mechanical performance of honeycomb filled with circular CFRP tubes. Compos Part B. 2018;135:232–241.
   Web of Science ®Google Scholar
• Nia AA, Parsapour M. An investigation on the energy absorption characteristics of multi-cell square tubes. Thin Walled Struct. 2013;68:26–34.
   Web of Science ®Google Scholar
• Fang J, Gao Y, Sun G, et al. Dynamic crashing behavior of new extrudable multi-cell tubes with a functionally graded thickness. Int J Mech Sci. 2015;103:63–73.
   Web of Science ®Google Scholar
• Zheng G, Pang T, Sun G, et al. Theoretical, numerical, and experimental study on laterally variable thickness (LVT) multi-cell tubes for crashworthiness. Int J Mech Sci. 2016;118:283–297.
   Web of Science ®Google Scholar
• An X, Gao Y, Fang J, et al. Crashworthiness design for foam-filled thin-walled structures with functionally lateral graded thickness sheets. Thin Walled Struct. 2015;91:63–71.
   Web of Science ®Google Scholar
• Sun G, Pang T, Xu C, et al. Energy absorption mechanics for variable thickness thin-walled structures. Thin Walled Struct. 2017;118:214–228.
   Web of Science ®Google Scholar
• Ding X, Tong Z, Liu Y, et al. Dynamic axial crush analysis and design optimization of a square multi-cell thin-walled tube with lateral variable thickness. Int J Mech Sci. 2018;140:13–26.
   Web of Science ®Google Scholar
• Zhang X, Cheng G, Zhang H. Theoretical prediction and numerical simulation of multi-cell square thin-walled structures. Thin Walled Struct. 2006;44:1185–1191.
   Web of Science ®Google Scholar
• Santosa SP, Wierzbicki T, Hanssen AG, et al. Experimental and numerical studies of foam-filled sections. Int J Impact Eng. 2000;24:509–534.
   Web of Science ®Google Scholar
• Karagiozova D, Jones N. Dynamic buckling of elastic–plastic square tubes under axial impact. II. Structural response. Int J Impact Eng. 2004;30:167–192.
   Web of Science ®Google Scholar
• Langseth M, Hopperstad OS. Static and dynamic axial crushing of square thin-walled aluminium extrusions. Int J Impact Eng. 1996;18:949–968.
   Web of Science ®Google Scholar
• Tang Z, Liu S, Zhang Z. Analysis of energy absorption characteristics of cylindrical multi-cell columns. Thin Walled Struct. 2013;62:75–84.
   Web of Science ®Google Scholar
• Tang Z, Liu S, Zhang Z. Energy absorption properties of non-convex multi-corner thin-walled columns. Thin Walled Struct. 2012;51:112–120.
   Web of Science ®Google Scholar
• Mirfendereski L, Salimi M, Ziaei-Rad S. Parametric study and numerical analysis of empty and foam-filled thin-walled tubes under static and dynamic loadings. Int J Mech Sci. 2008;50:1042–1057.
   Web of Science ®Google Scholar
• Dellino L, Meloni R. Kriging metamodel management in the design optimization of a CNG injection system. Math Comput Simul. 2009;79:2345–2360.
   Web of Science ®Google Scholar
• Deb K, Pratap A, Agarwal S, et al. A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput. 2002;6:182–197.
   Web of Science ®Google Scholar
• Murugan P, Kannan S, Baskar S. NSGA-II algorithm for multi-objective generation expansion planning problem. Electric Power Syst Res. 2009;79:622–628.
   Web of Science ®Google Scholar
• Liao X, Li Q, Yang X, et al. A two-stage multi-objective optimisation of vehicle crashworthiness under frontal impact. Int J Crashworthiness. 2008;13:279–288.
   Web of Science ®Google Scholar