Skip to main content
Log in

Defect sensitivity of bulk PCMs composed of octet and Kagome trusses to mechanical behaviors subjected to compression

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

Abstract

The Kagome truss has been attracting attention, because it has equivalent or even higher strength compared to the octet truss with the same material and density. In this work, another aspect, which seems to be important for its practical applications, that is, defect sensitivity of bulk PCMs (periodic cellular metals) composed of Kagome trusses to mechanical behaviors subjected to compression was compared with a counterpart composed of octet trusses. In order to investigate the mechanical characteristics of bulk PCMs composed of the two trusses, a hybrid approach was taken in this work. First, assuming perfectly uniform structure and deformation of WBK, the behavior of the bulk PCMs composed of infinite number of trusses was simulated by finite element analysis for a unit cell with periodic boundary conditions. From the results, the force-displacement response of a single strut composing the trusses in each bulk PCM was estimated. Then, the effects of geometric imperfections and the inhomogeneous material properties were evaluated by network analyses, in which the force-displacement responses were used to characterize mechanical behaviors of the networks. The imperfections were modeled to have Gaussian distributions, and the analysis results of the two bulk PCMs were compared to evaluate their defect sensitivities. For the geometric imperfections, the maximum strength of both bulk PCMs decreased gradually as the imperfection level increased. For material property imperfections, the maximum strength maintained nearly unchanged for the PCM composed of Kagome trusses. On the other hand, for that composed of octet trusses, it slightly dropped as the imperfection level increased. The octet truss PCM was found to be more sensitive to the property imperfections than the other.

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. H. N. G. Wadley, N. A. Fleck and A. G. Evans, Fabrication and structural performance of periodic cellular metal sandwich structures, Composite Science and Technology 63 (2003) 2331–2343.

    Article  Google Scholar 

  2. A. G. Evans, J. W. Hutchinson, N. A. Fleck, M. F. Ashby and H. N. G. Wadley, The topological design of multifunctional cellular metals, Prog. Mater. Sci. 46 (2001) 309–327.

    Article  Google Scholar 

  3. F. W. Zok, S. A. Waltner, Z. Wei, H. J. Rathbun, R. M. McMeeking and A. G. Evans, A protocol for characterizing the structural performance of metallic sandwich panels: application to pyramidal truss cores, Int. J. Solids Structures 41 (2004) 6249–6271.

    Article  MATH  Google Scholar 

  4. C. G. Jung, S. J. Yoon, D. Y. Yang, S. M. Lee, S. J. Na, S. H. Lee and D. G. Ahn, Fabrication and static bending test in ultra light inner structured and bonded (ISB) panel containing repeated inner pyramidal structure, J. Korean Soc. Prec. Eng. 22 (2005) 175–182.

    Google Scholar 

  5. D. J. Sypeck and H. N. G. Wadley, Cellular metal truss core sandwich structures, Banhart, J., Ashby, M.F., Fleck, N.A. (Eds), Proc. of the 2nd International Conference on Cellular Metals and Metal Foaming Technology (MetFoam 2001) 381–386.

  6. V. S. Deshpande, N. A. Fleck and M. F. Ashby, Effective properties of the octet-truss lattice material, J. Mech. Phys. Solids 49 (2001) 1747–1769.

    Article  MATH  Google Scholar 

  7. S. Chiras, D. R. Mumm, N. Wicks, A. G. Evans, J. W. Hutchinson, K. Dharamasena, H. N. G. Wadley and S. Fichter, The structural performance of near-optimized truss core panels, Int. J. Solids Structures 39 (2002) 4093–4115.

    Article  Google Scholar 

  8. K. J. Kang, J. H. Lim, S. J. Nah and M. H. Koo, Compressive and bending behavior of sandwich panels with octet truss core fabricated from wires, J. Korean Soc. Mech. Eng. A-29 (2005) 470–476.

    Google Scholar 

  9. S. Hyun, A. M. Karlsson, S. Torquato and A. G. Evans, Simulated properties of Kagome and tetragonal truss core panel, Int. J. Solids Structures 40 (2003) 6989–6998.

    Article  MATH  MathSciNet  Google Scholar 

  10. J. Wang, A. G. Evans, K. Dharmasena and H. N. G. Wadley, On the performance of truss panels with Kagome cores. Int. J. Solids Structures 40 (2003) 6981–6988.

    Article  Google Scholar 

  11. K. J. Kang, G. P. Jeon, S. J. Nah, B. S. Ju and N. H. Hong, A new way to manufacture ultra light metal structures, J. Korean Soc. Mech. Eng. A-28 (2004) 296–303.

    Google Scholar 

  12. S. L. Lucato, J. Wang, P. Maxwell, R. M. McMeeking and A. G. Evans, Design and demonstration of a high authority shape morphing structure, Int. J. Solids Structures 41 (2004) 3521–3543.

    Article  MATH  Google Scholar 

  13. K. J. Kang and Y. H. Lee, Three-dimensional cellular light structures directly woven by continuous wires and the manufacturing method of the same, Patent Pending PCT/KR2004/002864 /05 November (2004).

  14. Y. H. Lee, B. K. Lee, I. Jeon and K. J. Kang, Wirewoven bulk Kagome (WBK) truss cores, Acta Materialia 55 (2007) 6084–6094.

    Article  Google Scholar 

  15. S. Hyun, J. E. Choi and K. J. Kang, Mechanical behaviors under compression in wire-woven bulk Kagome truss PCMs-Part I: Upper bound solution with uniform deformation, Trans. of the KSME (A) 31 (2007) 694–700.

    Google Scholar 

  16. S. Hyun, J. E. Choi and K. J. Kang, Mechanical behaviors under compression in wire-woven bulk Kagome truss PCMs — Part II: Effects of geometric and material imperfections, Trans. of the KSME (A) 31 (2007) 792–799.

    Google Scholar 

  17. H. He and M. F. Thorpe, Elastic properties of glasses, Phys. Rev. Lett. 54 (1985) 2107.

    Article  Google Scholar 

  18. D. J. Jacobs and M. F. Thorpe, Generic rigidity percolation: The pebble game, Phys. Rev. Lett. 75 (1995) 4051.

    Article  Google Scholar 

  19. N. J. Mills, The high strain mechanical response of the wet Kelvin model for open-cell foams, Int. J. Solids Structures 44 (2007) 51–65.

    Article  MATH  Google Scholar 

  20. B. K. Lee, I. Jeon and K. J. Kang, Compressive characteristics of WBK truss cores, MetFoam 2007 5th International Conference on Porous Metals and Metallic Foams, Montreal, Canada, 5–7 September, (2007) Paper No. A64.

  21. Y. H. Lee and K. J. Kang, An optimization of wirewoven bulk Kagome (WBK) truss cored sandwich panels, MetFoam 2007 5th International Conference on Porous Metals and Metallic Foams, Montreal, Canada, 5–7 September, (2007) Paper No. A147.

  22. R. B. Fuller, Synergetic Building Construction, United States Patent Office # 2,986,241, Forest Hills, N.Y. (1961).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ki-Ju Kang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hyun, S., Joo, JH. & Kang, KJ. Defect sensitivity of bulk PCMs composed of octet and Kagome trusses to mechanical behaviors subjected to compression. J Mech Sci Technol 22, 689–698 (2008). https://doi.org/10.1007/s12206-008-0114-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-008-0114-5

Keywords

Navigation