ρ n (1 < n
<2), show the influence of randomness
and isotropy on the properties of closed-cell cellular
materials, and are found to be in
good agreement with experimental data.
Reference: A.P. Roberts and E.J. Garboczi, Acta Materiala, 49, No. 2, pp. 189-197, (2001).
(PDF Version of Original Paper)
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Next: Introduction
A. P. ROBERTS1,2 and E. J. GARBOCZI1
1Building Materials Division,
National Institute of Standards and Technology,
Gaithersburg, MD 20899, USA
2Centre for Microscopy and Microanalysis,
University of Queensland, St. Lucia, Queensland 4066,
Australia
Most cellular solids are random materials, while practically all
theoretical results are for periodic models.
To be able to generate theoretical
results for random models, the finite element method (FEM) was used to study
the elastic properties of solids with a closed-cell cellular structure.
We have computed the density ( ρ ) and microstructure dependence of the
Young's modulus (E) and Poisson's ratio (PR) for several different
isotropic random models based on Voronoi tessellations and level-cut Gaussian
random fields. The effect of partially open cells is also considered.
The results, which are best described by a power law
E
ρ n (1 < n
<2), show the influence of randomness
and isotropy on the properties of closed-cell cellular
materials, and are found to be in
good agreement with experimental data.
Keywords: 1. Foams, 2. Mechanical properties: elastic, 3. Micro-structure
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