A Multi-Scale Analysis of Materials Reinforced by Inclusions Randomly Oriented in the Ply Plane
The present work aims to investigate the validity of Eshelby-Kröner self-consistent model  for thermoelastic behaviour, in the case of a material reinforced by inclusions randomly oriented in the ply plane. The model provides predictive information on the properties and multi-scale mechanical states experienced by the material, accounting for its constituents properties, but also their morphology. However, it cannot reliably account for multiple inclusion morphologies (shape and orientation) in the material [2, 3, 4]. A study of the two applicable formulations and their limits leads to suggest a mixed formulation as an acceptable compromise between those alternatives. The results of this original approach are also described in the case of a thermo-mechanical load.
E. Lacoste et al., "A Multi-Scale Analysis of Materials Reinforced by Inclusions Randomly Oriented in the Ply Plane", Applied Mechanics and Materials, Vol. 61, pp. 55-64, 2011