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Research Papers

Strain Rate Effect on Mechanical Behavior of Metallic Honeycombs Under Out-of-Plane Dynamic Compression

[+] Author and Article Information
Yong Tao, Yongmao Pei, Daining Fang

LTCS,
College of Engineering,
Peking University,
Beijing 100871, China

Mingji Chen

National Center for Nanoscience and Technology,
Beijing 100190, China
e-mail: mjchen81@gmail.com

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received November 27, 2014; final manuscript received December 15, 2014; accepted manuscript posted December 31, 2014; published online January 8, 2015. Editor: Yonggang Huang.

J. Appl. Mech 82(2), 021007 (Feb 01, 2015) (6 pages) Paper No: JAM-14-1543; doi: 10.1115/1.4029471 History: Received November 27, 2014; Revised December 15, 2014; Accepted December 31, 2014; Online January 08, 2015

Although many researches on the dynamic behavior of honeycombs have been reported, the strain rate effect of parent materials was frequently neglected, giving rise to the underestimated plateau stress and energy absorption (EA). In this paper, the strain rate effect of parent materials on the out-of-plane dynamic compression and EA of metallic honeycombs is evaluated by both numerical simulation and theoretical analysis. The numerical results show that the plateau stress and the EA increase significantly if the strain rate effect is considered. To account for the strain rate effect, a new theoretical model to evaluate the dynamic compressive plateau stress of metallic honeycombs is proposed by introducing the Cowper–Symonds relation into the shock theory. Predictions of the present model agree fairly well with the numerical results and existing experimental data. Based on the present model, the plateau stress is divided into three terms, namely static term, strain rate term, and inertia term, and thus the influences of each term can be analyzed quantitatively. According to the analysis, strain rate effect is much more important than inertia effect over a very wide range of impact velocity.

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References

McFarland, R. K., 1963, “Hexagonal Cell Structures Under Post-Buckling Axial Load,” AIAA J., 1(6), pp. 1380–1385. [CrossRef]
Wierzbicki, T., 1983, “Crushing Analysis of Metal Honeycombs,” Int. J. Impact Eng., 1(2), pp. 157–174. [CrossRef]
Zhang, J., and Ashby, M. F., 1992, “The Out-of-Plane Properties of Honeycombs,” Int. J. Mech. Sci., 34(6), pp. 475–489. [CrossRef]
Gibson, L. J., and Ashby, M. F., 1997, Cellular Solids: Structure and Properties, Cambridge University Press, Cambridge, UK.
Aktay, L., Johnson, A. F., and Kröplin, B. H., 2008, “Numerical Modeling of Honeycomb Core Crush Behavior,” Eng. Fract. Mech., 75(9), pp. 2616–2630. [CrossRef]
Wilbert, A., Jang, W. Y., Kyriakides, S., and Floccari, J. F., 2011, “Buckling and Progressive Crushing of Laterally Loaded Honeycomb,” Int. J. Solids Struct., 48(5), pp. 803–816. [CrossRef]
Goldsmith, W., and Sackman, J. L., 1992, “An Experimental Study of Energy Absorption in Impact on Sandwich Plates,” Int. J. Impact Eng., 12(2), pp. 241–262. [CrossRef]
Goldsmith, W., and Louie, D. L., 1995, “Axial Perforation of Aluminum Honeycombs by Projectiles,” Int. J. Solids Struct., 32(8), pp. 1017–1046. [CrossRef]
Wu, E., and Jang, W. S., 1997, “Axial Crush of Metallic Honeycombs,” Int. J. Impact Eng., 19(5), pp. 439–456. [CrossRef]
Baker, W. E., Togami, T. C., and Weydert, J. C., 1998, “Static and Dynamic Properties of High-Density Metal Honeycombs,” Int. J. Impact Eng., 21(3), pp. 149–163. [CrossRef]
Zhao, H., and Gary, G., 1998, “Crushing Behaviour of Aluminium Honeycombs Under Impact Loading,” Int. J. Impact Eng., 21(10), pp. 827–836. [CrossRef]
Harrigan, J. J., Reid, S. R., and Peng, C., 1999, “Inertia Effects in Impact Energy Absorbing Materials and Structures,” Int. J. Impact Eng., 22(9), pp. 955–979. [CrossRef]
Zhou, Q., and Mayer, R. R., 2002, “Characterization of Aluminum Honeycomb Material Failure in Large Deformation Compression, Shear, and Tearing,” ASME J. Eng. Mater. Technol., 124(4), pp. 412–420. [CrossRef]
Zhao, H., Elnasri, I., and Abdennadher, S., 2005, “An Experimental Study on the Behaviour Under Impact Loading of Metallic Cellular Materials,” Int. J. Mech. Sci., 47(4), pp. 757–774. [CrossRef]
Wang, Z., Tian, H., Lu, Z., and Zhou, W., 2014, “High-Speed Axial Impact of Aluminum Honeycomb—Experiments and Simulations,” Compos., Part B, 56(1), pp. 1–8. [CrossRef]
Reid, S. R., and Peng, C., 1997, “Dynamic Uniaxial Crushing of Wood,” Int. J. Impact Eng., 19(5), pp. 531–570. [CrossRef]
Ruan, D., Lu, G., Wang, B., and Yu, T. X., 2003, “In-Plane Dynamic Crushing of Honeycombs—A Finite Element Study,” Int. J. Impact Eng., 28(2), pp. 161–182. [CrossRef]
Tan, P. J., Reid, S. R., Harrigan, J. J., Zou, Z., and Li, S., 2005, “Dynamic Compressive Strength Properties of Aluminium Foams. Part I—Experimental Data and Observations,” J. Mech. Phys. Solids, 53(10), pp. 2174–2205. [CrossRef]
Tan, P. J., Reid, S. R., Harrigan, J. J., Zou, Z., and Li, S., 2005, “Dynamic Compressive Strength Properties of Aluminium Foams. Part II—‘Shock’ Theory and Comparison With Experimental Data and Numerical Models,” J. Mech. Phys. Solids, 53(10), pp. 2206–2230. [CrossRef]
Elnasri, I., Pattofatto, S., Zhao, H., Tsitsiris, H., Hild, F., and Girard, Y., 2007, “Shock Enhancement of Cellular Structures Under Impact Loading: Part I Experiments,” J. Mech. Phys. Solids, 55(12), pp. 2652–2671. [CrossRef]
Pattofatto, S., Elnasri, I., Zhao, H., Tsitsiris, H., Hild, F., and Girard, Y., 2007, “Shock Enhancement of Cellular Structures Under Impact Loading: Part II Analysis,” J. Mech. Phys. Solids, 55(12), pp. 2672–2686. [CrossRef]
Qiu, X. M., Zhang, J., and Yu, T. X., 2009, “Collapse of Periodic Planar Lattices Under Uniaxial Compression, Part II: Dynamic Crushing Based on Finite Element Simulation,” Int. J. Impact Eng., 36(10), pp. 1231–1241. [CrossRef]
Zou, Z., Reid, S. R., Tan, P. J., Li, S., and Harrigan, J. J., 2009, “Dynamic Crushing of Honeycombs and Features of Shock Fronts,” Int. J. Impact Eng., 36(1), pp. 165–176. [CrossRef]
Tan, P. J., Reid, S. R., and Harrigan, J. J., 2012, “On the Dynamic Mechanical Properties of Open-Cell Metal Foams—A Re-Assessment of the ‘Simple-Shock Theory’,” Int. J. Solids Struct., 49(19–20), pp. 2744–2753. [CrossRef]
Yamashita, M., and Gotoh, M., 2005, “Impact Behavior of Honeycomb Structures With Various Cell Specifications—Numerical Simulation and Experiment,” Int. J. Impact Eng., 32(1), pp. 618–630. [CrossRef]
Sun, G. Y., Li, G. Y., Stone, M., and Li, Q., 2010, “A Two-Stage Multi-Fidelity Optimization Procedure for Honeycomb-Type Cellular Materials,” Comput. Mater. Sci., 49(3), pp. 500–511. [CrossRef]
Sun, D. Q., Zhang, W. H., and Wei, Y. B., 2010, “Mean Out-of-Plane Dynamic Plateau Stresses of Hexagonal Honeycomb Cores Under Impact Loadings,” Compos. Struct., 92(11), pp. 2609–2621. [CrossRef]
Hou, B., Zhao, H., Pattofatto, S., Liu, J. G., and Li, Y. L., 2012, “Inertia Effects on the Progressive Crushing of Aluminium Honeycombs Under Impact Loading,” Int. J. Solids Struct., 49(19), pp. 2754–2762. [CrossRef]
Partovi, M. A., Toprak, T., and Muğan, A., 2014, “Numerical and Experimental Study of Crashworthiness Parameters of Honeycomb Structures,” Thin Wall Struct., 78(1), pp. 87–94. [CrossRef]
Liu, Y. D., Yu, J. L., Zheng, Z. J., and Li, J. R., 2009, “A Numerical Study on the Rate Sensitivity of Cellular Metals,” Int. J. Solids Struct., 46(22), pp. 3988–3998. [CrossRef]
Kim, H. S., 2002, “New Extruded Multi-Cell Aluminum Profile for Maximum Crash Energy Absorption and Weight Efficiency,” Thin Wall Struct., 40(4), pp. 311–327. [CrossRef]
D’Mello, R. J., and Waas, A. M., 2013, “In-Plane Crush Response and Energy Absorption of Circular Cell Honeycomb Filled With Elastomer,” Compos. Struct., 106(1), pp. 491–501. [CrossRef]
Gotoh, M., Yamashita, M., and Kawakita, A., 1996, “Crush Behavior of Honeycomb Structure Impacted by Drop-Hammer and Its Numerical Analysis,” Mater. Sci. Res. Int., 2(4), pp. 261–266. [CrossRef]
Hooputra, H., Gese, H., Dell, H., and Werner, H., 2004, “A Comprehensive Failure Model for Crashworthiness Simulation of Aluminium Extrusions,” Int. J. Crashworthiness, 9(5), pp. 449–464. [CrossRef]
Heimbs, S., 2009, “Virtual Testing of Sandwich Core Structures Using Dynamic Finite Element Simulations,” Comput. Mater. Sci., 45(2), pp. 205–216. [CrossRef]
Cowper, G. R., and Symonds, P. S., 1957, “Strain-Hardening and Strain-Rate Effects in the Impact Loading of Cantilever Beams,” Division of Applied Mathematics Report No. 28, Brown University, Providence, RI.
Bodner, S. R., and Symonds, P. S., 1962, “Experimental and Theoretical Investigation of the Plastic Deformation of Cantilever Beams Subjected to Impulsive Loading,” ASME J. Appl. Mech., 29(4), pp. 719–728. [CrossRef]
Alavi, N. A., and Sadeghi, M. Z., 2013, “An Experimental Investigation on the Effect of Strain Rate on the Behaviour of Bare and Foam-Filled Aluminium Honeycombs,” Mater. Des., 52(1), pp. 748–756. [CrossRef]

Figures

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Fig. 1

FE model of a hexagonal honeycomb

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Fig. 2

Comparison between experimental [38] and numerical results

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Fig. 3

Comparison of (a) compressive stress and (b) EA of honeycombs when different strain rate dependent parameters are adopted (impact velocity v=20 m/s)

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Fig. 4

Curves of (a) plateau stress and (b) EA versus impact velocities when different strain rate parameters are adopted for parent material

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Fig. 5

Comparison between theoretical predictions and numerical results

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Fig. 6

Comparison between theoretical predictions and experimental results [9]

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Fig. 7

Comparison of the (a) stress and (b) proportion of every term under different impact velocities

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