Int.J.Engng.Sci. 58, 21-34, 2012
A. Rasool, H.J. Böhm
Institute of Lightweight Design and Structural
TU Wien, Vienna, Austria
A systematic comparison of inhomogeneity shape effects on the linear elastic,
thermoelastic and thermal conduction responses of particle reinforced
composites is carried out.
For this purpose, multi-particle unit cells that contain randomly positioned
and, where applicable, oriented, identical particles having the shapes of
spheres, regular octahedra, cubes or regular tetrahedra, respectively, and a
volume fraction of 20% are employed. The macroscopic moduli and microscopic
responses, such as phase averages, as well as phase-level standard deviations
and distribution functions of the microfields are evaluated and compared to
The results indicate the presence of relatively small but consistent effects of
the particle shape on the effective behavior of particulate composites.
Effects on the microscopic stress and flux fields are predicted to be more