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Elastic Moduli of Model Random Three-Dimensional Closed-Cell Cellular Solids



A P. Roberts, Edward Garboczi


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 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 ∝ρn) (1 < n < 2), show the influence of randomness and isotropy on the properties of closed cellular materials, and are found to be in good agreement with experimental data.
ACTA Materialia
No. 2


cellular solids, closed cell, elastic, foams, mechancial properties, micro-structure, microstructure


Roberts, A. and Garboczi, E. (2001), Elastic Moduli of Model Random Three-Dimensional Closed-Cell Cellular Solids, ACTA Materialia, [online], (Accessed July 21, 2024)


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Created December 31, 2000, Updated October 12, 2021