Journal of Mechanical Science and Technology

, Volume 32, Issue 12, pp 5817–5822 | Cite as

Effects of material anisotropy on impact mitigation in single column woodpile structures

  • Hui Yun Hwang
  • Jung Woo Lee
  • Eunho Kim
  • Jinkyu Yang
  • Chang Won Shul


We studied effects of material anisotropy on impact mitigation in single column woodpile structures. Local vibrations and nonlinear contacts of cylindrical members are key mechanisms of wave modulation in woodpile structures. We numerically obtained wave propagations in single column woodpile structures by changing longitudinal and/or transverse stiffness different from stiffness along the stacking direction. We found that changes in longitudinal and/or transverse stiffness altered wave propagation tendency as well as impact mitigation rate. We observed compact and wide waves propagated through single column woodpile structures with small stiffness ratio, while disintegrated but narrow waves with large stiffness ratio. According to dynamic behavior under impact loadings and frequency responses of woodpiles, bending vibration changed from 3rd to 1st mode and low energy band moved to relatively low frequency region when the single column woodpile structures had small stiffness ratio. This leads to increase impact mitigation characteristics of single column woodpile structures.


Impact mitigation Material anisotropy Wave propagation Woodpile structure 


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  1. [1]
    Z. Y. Liu, X. X. Zhang, Y. W. Mao, Y. Y. Zhu, Z. Y. Yang, C. T. Chan and P. Sheng, Locally resonant sonic materials, Science, 289 (2000) 1734–1736.CrossRefGoogle Scholar
  2. [2]
    M. I. Hussein, G. M. Hulbert and R. A. Scott, Dispersive elastodynamics of 1D banded materials and structures: Design, J. of Sound and Vibration, 307 (2007) 865–893.CrossRefGoogle Scholar
  3. [3]
    N. Boechler, J. Yang, G. Theocharis, P. G. Kevrekidis and C. Daraio, Tunable vibrational band gaps in one–dimensional diatomic granular crystals with three–particle unit cells, J. of Applied Physics, 109 (2011) 074906.CrossRefGoogle Scholar
  4. [4]
    E. Kim and J. Yang, Wave propagation in single column woodpile phononic crystals: Formation of tunable band gaps, J. of Mechanics and Physics of Solids, 71 (2014) 33–45.CrossRefzbMATHGoogle Scholar
  5. [5]
    E. Kim, Y. H. N. Kim and J. Yang, Nonlinear stress wave propagation in 3D woodpile elastic metamaterials, International J. of Solids and Structures, 58 (2015) 128–135.CrossRefGoogle Scholar
  6. [6]
    E. Kim, R. Chaunsali, H. Xu, J. Jaworski, J. Yang, P. G. Kevrekidis and A. F. Vakakis, Nonlinear low–to–highfrequency energy cascades in diatomic granular crystals, Physical Review E, 92 (2015) 1–7.Google Scholar
  7. [7]
    R. Chaunsali, M. Toles, J. Yang and E. Kim, Extreme control of impulse transmission by cylinder–based nonlinear phononic crystals, J. of Mechanics and Physics of Solids, 107 (2017) 21–32.MathSciNetCrossRefGoogle Scholar
  8. [8]
    E. Kim, J. Yang, H. Y. Hwang and C. W. Shul, Impact and blast mitigation using locally resonant woodpile metamaterials, International J. of Impact Engineering, 101 (2017) 24–31.CrossRefGoogle Scholar
  9. [9]
    H. Y. Hwang, J. W. Lee, J. Yang, C. W. Shul and E. Kim, Sandwich–structured woodpile metamaterials for impact mitigation, International J. of Applied Mechanics, 10 (2018) 1850078.CrossRefGoogle Scholar
  10. [10]
    Z. Y. Li, B. Y. Gu and B. Z. Yang, Large Absolute band gap in 2D anisotropic photonic crystals, Physical Review Letters, 81 (1998) 2574–2577.CrossRefGoogle Scholar
  11. [11]
    Z. Zhan and P. Wei, Influences of anisotropy on band gaps of 2D phononic crystal, Acta Mechanica Solida Sinica, 23 (2010) 181–188.CrossRefGoogle Scholar
  12. [12]
    Z. Zhan and P. Wei, Band gaps of three–dimensional phononic crystal with anisotropic spheres, Mechanics of Advanced Materials and Structures, 21 (2014) 245–254.CrossRefGoogle Scholar
  13. [13]
    S. C. S. Lin and ·T. J. Huang, Tunable phononic crystals with anisotropic inclusions, Physical Review E, 83 (2011) 174303.CrossRefGoogle Scholar
  14. [14]
    S. Alagoz, Effects of wave propagation anisotropy on the wave focusing by negative refractive sonic crystal flat lenses, Chinese Physics B, 21 (2012) 126202.MathSciNetCrossRefGoogle Scholar
  15. [15]
    J. C. Hsu, Effects of elastic anisotropy in phononic bandgap plates with two–dimensional lattices, J. of Physics D, 46 (2013) 15301.CrossRefGoogle Scholar
  16. [16]
    Y. F. Wang, A. Maznev and V. Laude, Formation of bragg band gaps in anisotropic phononic crystals analyzed with the empty lattice model, Crystals, 6 (2016) 52.CrossRefGoogle Scholar

Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Hui Yun Hwang
    • 1
  • Jung Woo Lee
    • 1
  • Eunho Kim
    • 2
  • Jinkyu Yang
    • 3
  • Chang Won Shul
    • 4
  1. 1.Department of Mechanical Design EngineeringAndong National UniversityGyeongsangbuk-doKorea
  2. 2.Division of Mechanical System Engineering, Automotive Hi-Technology Research CenterChonbuk National UniversityJeonbukKorea
  3. 3.Aeronautics and AstronauticsUniversity of WashingtonSeattleUSA
  4. 4.P.O.Box 35Agency for Defense DevelopmentDeajeonKorea

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