Journal of Theoretical
and Applied Mechanics

37, 3, pp. 687-706, Warsaw 1999

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

Józef Joachim Telega, Andrzej Gałka, Stanisław Tokarzewski
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.
Keywords: compact bone; homogenization; reiterated homogenization