Initial densification strain point’s determination of honeycomb structure subjected to out-of-plane compression

Abstract

Compression ratio is significant for cellular structures on energy absorption. In the present work, theoretical formulas to determine the initial densification strain of honeycomb structure were put forward by means of minimum energy principle. Detailed densification strain points were identified, with full fold model for kinds of specimens. To validate, corresponding numerical simulations were carried out with explicit finite element method. Excellent agreement in terms of initial densification stain point has been observed between the theoretical calculation and numerical simulation. The results show that: ① different honeycomb structure has different initial densification strain point, and its geometric configuration of cells plays an evident role on densification; ② half-wave length of the wrinkle of honeycomb in folding process significantly influences on the densification strain point; ③ the initial densification point is an decreasing power function of the ratio of foil thickness to cell length, with the exponent 2/3. These achievements provide important references for design in cellular energy absorption devices.

Keywords

honeycomb / densification strain / full fold element / half-wave length

References

[1] WangW B, RenL H, ZhouH C, HechtM. Energy absorption configuration of crashworthy metro train [J]. Advanced Materials Research, 2012, 466-467: 724-728

[2] DongH-p, GaoG-j, XieS-c, LiJian. Collision performance of bitubular tubes with diaphragms [J]. Journal of Central South University, 2015, 22(9): 3657-3665

[3] GaoG, DongH, TianH. Collision performance of square tubes with diaphragms [J]. Thin-Walled Structures, 2014, 80(1): 167-177

[4] AshbyM F, JohnsonKMaterials and design, third edition: The art and science of material selection in product design [M], 2014, Waltham, Butterworth-Heinemann

[5] WangZ G, GaoG J, TianH Q, LuZ J. A stability maintenance method and experiments for multi-player tandem aluminum honeycomb array [J]. International Journal of Crashworthiness, 2013, 18(5): 483-491

[6] LiM, DengZ-q, GuoH-w, LiuR-q D B-chen. Optimizing crashworthiness design of square honeycomb structure [J]. Journal of Central South University, 2014, 21(3): 912-919

[7] BaiZ, WangD, XuZ. Model creation of strain rate-dependent energy absorption for paper honeycomb sandwich structure [J]. Journal of Sandwich Structures & Materials, 2015, 17(4): 359-375

[8] AktayL, JohnsonA F, KroplinB H. Numerical modeling of honeycomb core crush behavior [J]. Engineering Fracture Mechanics, 2008, 75(9): 2616-2630

[9] WangZ-g, LuZ-jun. Experimental assessment on energy absorption property of aluminum honeycomb under out-ofplane compression [J]. Journal of Central South University: Science and Technology, 2013, 44(3): 1246-1251

[10] WangZ G, TianH Q, LuZ J, ZhouW. High-speed axial impact of aluminum honeycomb—Experiments and simulations [J]. Composites Part B, 2014, 56(1): 1-8

[11] GibsonL J, AshbyM FCellular solids, structures and properties [M], 1997, Cambridge, Cambridge University Press

[12] WangD-m, WangZ-wei. Evaluation of compressive densification strain of paper honeycombs [J]. Journal of Mechanical Engineering, 2009, 45(5): 285-289

[13] WangZ G, LuZ J, TianH Q Y S, ZhouW. Theoretical assessment methodology on axial compressed hexagonal honeycomb’s energy absorption capability [J]. Mechanics of Advanced Materials & Structures, 2016, 23(6): 503-512

[14] LuG X, YuT XEnergy absorption of structures and materials [M], 2001, Cambridge, Woodhead Publishing

[15] WangZ, LuZ, YaoS, DavidH, LucianoF. Deformation mode evolutional mechanism of honeycomb structure when undergoing a shallow inclined load [J]. Composite Structure., 2016, 147: 211-219

[16] WangZ, YaoS, LuZ. Matching effect of honeycomb-filled thin-walled square tube—experiment and simulation [J]. Composite Structure, 2016, 157: 494-505

[17] WangZ, LiuJ, DavidH. Mechanical behaviors of inclined cell honeycomb structure subjected to compression [J]. Composites Part B, 2017, 110: 307-314

[18] WangZ, LiuJ, LuZ, DavidH. Mechanical behavior of composited structure filled with tandem honeycombs [J]. Composites Part B, 2017, 114: 128-138

[19] HallquistJLS-DYNA user’s manual, 2003, Troy, Livemore Software Technology Corporation

[20] MahmoudabadiM Z, SadighiM. A theoretical and experimental study on metal hexagonal honeycomb crushing under quasi-static and low velocity impact loading [J]. Materials Science & Engineering A, 2011, 528(15): 4958-4966