IUTAM Symposium on Mechanical Properties of Cellular Materials (Eds. H.Zhao, N.A.Fleck), pp.87-95, Springer-Verlag, 2009
T. Daxner, R.W. Tomas
Institute of Lightweight Design and Structural
TU Wien, Vienna, Austria
Recently, technologies for the production of cellular materials have been
proposed that allow for a seamless change of the geometries of such materials
from being similar to sintered hollow sphere structures to resembling
comparatively regular polyhedra.
In order to investigate, how the elastic properties of such materials are
affected by this change in geometry, analyses of the expansion process are
carried out by the finite element method for obtaining cell wall thickness
These material distributions are then transferred to finite element unit cell
models that are suitable for predicting the effective, macroscopic elastic
It is found that Young's modulus, as well as the shear modulus increase
monotonically with increasing degree of expansion.
Furthermore, negative Poisson's ratios are predicted for configurations that
are comparable to sintered hollow sphere structures, while positive Poisson's
ratios are observed for highly expanded configurations.