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Human cortical bone: the SiNuPrOs model. Part II – a multi-scale study of permeability

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  • M. Predoi-Racila
  • M.C. Stroe
  • J.M. Crolet

Abstract

Cortical bone is more and more considered as a porous medium and this induces the necessity of the determination of the physical properties associated with such a concept: the porosity and the permeability. If porosity does not present a major problem, at least for the order of magnitude, there is a difficulty for the permeability. According to experimental sources, values vary between 10− 13 and 10− 23 m2: it seems obvious that the same entities have not been measured. This article proposes a new vision of the permeability based on a concept of multi-scale medium corresponding to the scales already introduced in the SiNuPrOs model which has been developed for cortical bone. According to this model, several architectural levels are proposed and a mathematical development based on the homogenisation theory, which can be applied to each of these levels, allows a numerical computation of the permeability tensor coefficients. A comparative analysis of our simulations and some experimental results (already published) shows a good accordance with the literature.

Suggested Citation

  • M. Predoi-Racila & M.C. Stroe & J.M. Crolet, 2010. "Human cortical bone: the SiNuPrOs model. Part II – a multi-scale study of permeability," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 13(1), pages 81-89.
    • Handle: RePEc:taf:gcmbxx:v:13:y:2010:i:1:p:81-89
    DOI: 10.1080/10255840903045037
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    1. M. Predoi-Racila & J. M. Crolet, 2008. "Human cortical bone: the SiNuPrOs model," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 11(2), pages 169-187.
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