Equivalent Elastic Modulus of the Open-Cell Cellular Solids

Abstract:

The useful properties of cellular solids depend on the material from which they are made, their relative density, and their internal geometrical structure. Based on two simple models (two-dimensional honeycomb and three-dimensional prism)of cellular structures, equivalent Young’s modulus related to the relative density is derived, and the theoretical results are found to be in good agreement with experimental data of open cell aluminum foams. And the results provide evidence that the three-dimensional prism model is reasonable, which two models are approximately true at low density.

• Periodical: Applied Mechanics and Materials (Volumes 34-35)
• Pages: 1501-1505
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.34-35.1501
• Online since: October 2010
• Authors: Ying An Kang, Jia Cai Tan
• Keywords: Cellular Solid, Equivalent Young’s Modulus, Microstructure

References

[1] L.J. Gibson, M.F. Ashby: Cellular solids: Structures and properties (Cambridge University Press, Cambridge, UK 1997).

[2] E. Andrews, W. Sanders, L.J. Gibson: Materials Science and Engineering Vol. 270(1999) , p.113.

[3] Y.A. Kang, J. Y. Zhang and J.C. Tan: Journal of Central South University of Technology Vol. 14 (2007), p.301.

[4] Y.A. Kang, J. Y. Zhang: Journal of Functional Materials Vol. 37(2006) , p.247.

[5] M.H. Fu, J.R. Yin: Acta Mechanic Sinica Vol. 31(1999) , p.113.

[6] A.P. Roberts, E.J. Garboczi: Acta mater. Vol. 49(2001) , p.189.

[7] A.P. Roberts, E.J. Garboczi: Journal of the mechanics and physics of solids Vol. 50(2002) , p.30.