Elastic Moduli of Model Random Three-Dimensional Closed-Cell Cellular Solids.
Elastic Moduli of Model Random Three-Dimensional
Closed-Cell Cellular Solids.
Roberts, A. P.; Garboczi, E. J.
Acta Materialia, Vol. 49, No. 2, 189-197, 2001.
mechanical properties; elastic properties; cellular
solids; closed cell; microstructures
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 and
microstructure dependence of the Young'g 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, 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.