Modelling of Cortical Bone Tissue as a Fluid Saturated Double-Porous Material - Parametric Study

摘要

In this paper, the cortical bone tissue is considered as a poroelastic material with periodic structure represented at microscopic and mesoscopic levels. The pores of microscopic scale are connected with the pores of mesoscopic scale creating one system of connected network ?lled with compressible ?uid. The method of asymptotic homogenization is applied to upscale the micro- scopic model of the ?uid-solid interaction under a static loading. Obtained homogenized coe?cients describe material properties of the poroelastic matrix fractured by ?uid-?lled pores whose geometry is described at the mesoscopic level. The second-level upscaling provides homogenized poroelastic coef- ?cients relevant on the macroscopic scale. Furthermore, we study the dependence of these coe?cients on geometrical parameters on related microscopic and macroscopic scales.