Three-scale model of single bone osteon modelled as double-porous fluid saturated body: Study of influence of micro/meso-structure

Jana Turjanicová, Eduard Rohan, Salah Naili


This paper deals with the multiscale description of a single osteon of cortical bones. The cortical bone tissue is modeled as a double-porous medium decomposed into the solid matrix and the fluid saturated canals. The resulting homogenized model describes deformation of such medium in response to a static loading by external forces and to an injection of slightly compressible fluid. Three numerical examples are presented, showing the influence of selected lower-scales geometrical features on the macroscopic body behavior.


homogenization; poroelasticity; osteon; cortical bone

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