Elastic moduli of model random three-dimensional closed-cell cellular solids Original Research Article

Most cellular solids are random materials, while practically all theoretical structure-property 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 Youngʹs modulus (E) and Poissonʹs 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