Application of the reiterated homogenization to determination of effective noduli of a compact bone

The aim of the paper is twofold. First, the available results of finding the effective macroscopic elastic moduli of a compact bone by using homogenization are surveyed. Secondly, it is shown that the proper framework for studying such organic materials with hierarchical microstructure is that of reiterated homogenization. $\Gamma$-convergence theory is applied to obtain the general formulae for the effective elastic moduli of a material with three structural levels.