Extreme elastic anisotropy of composites with periodic structure

Abstract eng:
Extreme elastic anisotropy of composites with periodic microstructure is studied. After reviewing anisotropy measures attention is paid to the computation of the effective elastic properties. Two method are considered, the asymptotic homogenization and the averaging approach based on the equivalent inclusion method. Pro and cons of the methods are underlined. Numerical results are given for the glass epoxy composites with spherical or cubical inclusions. It is found that the anisotropy of cubic structures with a spherical inclusion monotonically increases with the volume fraction. For cubic structures with a cubic inclusion the maximal anisotropy is computed at intermediate values.

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