Skip to main content
Log in

Numerical study on the dynamic behavior of circular honeycomb structure with concentrated filling inclusions defects

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

Circular honeycombs are extensively used to absorb impact energy considering its good energy absorption properties. Rather than focusing on the existing perfect honeycomb, effects of concentrated filling inclusions on the in-plane dynamic behavior of circular honeycomb structure are studied in detail by using finite element simulations. The crushing model of honeycomb under in-plane impact is established which then is used to investigate the influences of packing ratio, defect distribution area and impact velocity on the deformation mode and the plateau stress. Investigation results show that the deformation model of imperfect honeycomb can still be classified into three types: Quasi-static mode, transition mode and dynamic mode; However, the value of packing ratio and defect location may seriously influence localized deformed band of transition mode; The plateau stress of the honeycomb relies on the defect location except for the packing ratio; The filling inclusions defect concentrated in sub-region 2 is more beneficial to improve the energy-absorption capacity; Especially under middle or low impact velocities, it displays higher sensitivity; The crushing plateau stress of honeycomb with α = 0.36 and defect concentrated in sub-region 2 is even improved about 56.9 % under impact velocity 100 m/s. These results can provide valuable suggestions in the study and design of other honeycomb structures.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. J. Gibson and M. F. Ashby, Cellular solids: Structure and properties, 2nd Ed., Cambridge: Cambridge University Press (1997).

    Book  MATH  Google Scholar 

  2. A. J. Wang and D. L. McDowell, In-plane stiffness and yield strength of periodic metal honeycombs, Journal of Engineering Materials and Technology, 126 (2004) 137–156.

    Article  Google Scholar 

  3. M. J. Silva and L. J. Gibson, The effects of non-periodic microstructure and defects on the compressive strength of two-dimensional cellular solids, International Journal of Mechanical Sciences, 39 (1997) 549–563.

    Article  MATH  Google Scholar 

  4. J. M. Albuquerque, V. M. Fatima and M. A. Fortes, Effect of missing walls on the compression behavior of honeycombs, Scripta Mater, 41 (1999) 167–174.

    Article  Google Scholar 

  5. X. E. Guo and L. J. Gibson, Behavior of intact and damaged honeycombs: A finite element study, International Journal of Mechanical Sciences, 41 (1999) 85–105.

    Article  MATH  Google Scholar 

  6. M. A. Fortes and M. F. Ashby, The effect of non-uniformity on the in-plane modulus of honeycombs, Acta Materialia, 47 (1999) 3469–3473.

    Article  Google Scholar 

  7. C. Chen, T. J. Lu and N. A. Fleck, Effect of imperfections on the yielding of two-dimensional foams, Journal of the Mechanics and Physics of Solids, 47 (1999) 2235–2272.

    Article  MATH  Google Scholar 

  8. A. E. Simone and L. J. Gibson, Effects of solid distribution on the stiffness and strength of metallic foams, Acta Materialia, 46 (1998) 2139–2150.

    Article  Google Scholar 

  9. A. E. Simone and L. J. Gibson, The effects of cell face curvature and corrugations on the stiffness and strength of metallic foams, Acta Materialia, 46 (1998) 3929–3935.

    Article  Google Scholar 

  10. J. Chung and A. M. Waas, Elastic imperfection sensitivity of hexagonally packed circular cell honeycombs, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 458 (2002) 2851–2868.

    Article  MathSciNet  MATH  Google Scholar 

  11. K. Li, X. L. Gao and G. Subhash, Effects of cell shape and cell wall thickness variations on the elastic properties of twodimensional cellular solids, International Journal of Solids and Structures, 42 (2005) 1777–1795.

    Article  MATH  Google Scholar 

  12. J. Steadman, R. A. Atadero and P. R. Heyliger, Influence of local wall variation in the elastic properties of planar cellular solids, Mechanics of Advanced Materials and Structures, 21 (2) (2014) 117–128.

    Article  Google Scholar 

  13. T. Mukhopadhyay and S. Adhikari, Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices, International Journal of Engineering Science, 119 (2017) 142–179.

    Article  Google Scholar 

  14. T. Mukhopadhyay and S. Adhikari, Stochastic mechanics of metamaterials, Composite Structures (2017) 162.

    Google Scholar 

  15. S. R. Reid and C. Peng, Dynamic uniaxial crushing of wood, International Journal of Impact Engineering, 19 (1997) 531–570.

    Article  Google Scholar 

  16. Q. Chen, Q. Shi and S. Signetti, Plastic collapse of cylindrical shell-plate periodic honeycombs under uniaxial compression: Experimental and numerical analyses, International Journal of Mechanical Sciences (2016) 111–112, 125–133.

    Google Scholar 

  17. X. Zhang and H. Zhang, Theoretical and numerical investigation on the crush resistance of rhombic and kagome honeycombs, Composite Structures, 96 (4) (2013) 143–152.

    Article  Google Scholar 

  18. J. Qiao and C. Chen, In-plane crushing of a hierarchical honeycomb, International Journal of Solids & Structures (2016) 85–86, 57–66.

    Google Scholar 

  19. Y. Liu and X. C. Zhang, The influence of cell microtopology on the in-plane dynamic crushing of honeycombs, International Journal of Impact Engineering, 36 (1) (2009) 98–109.

    Article  Google Scholar 

  20. C. J. Shen, T. X. Yu and G. Lu, Double shock mode in graded cellular rod under impact, International Journal of Solids & Structures, 50 (1) (2013) 217–233.

    Article  Google Scholar 

  21. Z. Zou, S. R. Reid, P. J. Tan, S. Li and J. J. Harrigan, Dynamic crushing of honeycombs and features of shock fronts, International Journal of Impact Engineering, 36 (2009) 165–176.

    Article  Google Scholar 

  22. A. Hönig and W. J. Stronge, In-plane dynamic crushing of honeycombs—Part I: Crush band initiation and wave trapping, International Journal of Mechanical Sciences, 44 (2002) 1665–1696.

    Article  MATH  Google Scholar 

  23. Z. J. Zheng, J. L. Yu and J. R. Li, Dynamic crushing of 2D cellular structures: A finite element study, International Journal of Impact Engineering, 32 (2005) 650–664.

    Article  Google Scholar 

  24. H. X. Zhu, S. M. Thorpe and A. H. Windle, The effect of cell irregularity on the high strain compression of 2D Voronoi honeycomb, International Journal of Solids and Structures, 46 (2006) 1061–1078.

    Article  MATH  Google Scholar 

  25. K. Li, X. L. Gao and J. Wang, Dynamic crushing behavior of honeycomb structures with irregular cell shapes and nonuniform cell wall thickness, International Journal of Solids and Structures, 44 (2007) 5003–5026.

    Article  MATH  Google Scholar 

  26. X. C. Zhang, Y. Liu, B. Wang and Z. M. Zhang, Effects of defects on the in-plane dynamic crushing of metal honeycombs, International Journal of Mechanical Sciences, 52 (2010) 1290–1298.

    Article  Google Scholar 

  27. O. Prakash, P. Bichebois, Y. Brechet, F. Louchet and J. D. Embury, A note on the deformation behavior of twodimensional model cellular structures, Philosophical Magazine A, 73 (1996) 739–351.

    Article  Google Scholar 

  28. C. Chen, T. J. Lu and N. A. Fleck, Effect of inclusions and holes on the stiffness and strength of honeycombs, International Journal of Mechanical Sciences, 43 (2001) 487–504.

    Article  MATH  Google Scholar 

  29. H. Nakamoto, T. Adachi and W. Araki, In-plane impact behavior of honeycomb structures randomly filled with rigid inclusions, International Journal of Impact Engineering, 36 (2009) 73–80.

    Article  Google Scholar 

  30. H. Nakamoto, T. Adachi and W. Araki, In-plane impact behavior of honeycomb structures filled with linearly arranged inclusions, International Journal of Impact Engineering, 36 (2009) 1019–1026.

    Article  Google Scholar 

  31. D. Sun, W. Zhang and Y. Zhao, In-plane crushing and energy absorption performance of multi-layer regularly arranged circular honeycombs, Composite Structures, 96 (2013) 726–735.

    Article  Google Scholar 

  32. J. O. Hallquist, LS-DYNA theoretical manual, Livermore Software Technology Corporation (1998).

    Google Scholar 

  33. S. P. Santosa and T. Wierzbicki, Experimental and numerical studies of foam-filled sections, International Journal of Impact Engineering, 24 (5) (2000) 509–534.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jun Feng.

Additional information

Recommended by Associate Editor Kyeongsik Woo

Qiang He is currently an lecturer in School of Mechanical Engineering, Jiangsu University of Science and Technology in Zhenjiang City, Jiangsu. He obtained the B.S. from Xuzhou Institute of Technology, M.S. and Ph.D. from the Nanjing University of Science and Technology, all in Mechanical Engineering. His research interests include impact dynamics and mechanical properties of composites.

Jun Feng is an Assistant Professor of National Key Laboratory of Transient Physics at Nanjing University of Science and Technology (NJUST), Nanjing, China. He received his Ph.D. degree in Theoretical and Applied Mechanics from NJUST, during which he was a visiting scholar at Northwestern University (Evanston, IL, USA) in collaboration with Prof. Cusatis. Dr. Feng worked as a postdoctoral fellow at Institute of Industrial Science of The University of Tokyo (Japan) in collaboration with Prof. Yoshikawa. His current research focuses on multiscale/multi-physics modeling of composites with application to impact engineering.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

He, Q., Feng, J., Zhou, H. et al. Numerical study on the dynamic behavior of circular honeycomb structure with concentrated filling inclusions defects. J Mech Sci Technol 32, 3727–3735 (2018). https://doi.org/10.1007/s12206-018-0725-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-018-0725-4

Keywords

Navigation