Modelling of Cortical Bone Tissue as a Fluid Saturated Double-Porous Material - Parametric Study
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 filled with compressible...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
VSB-Technical University of Ostrava
2013-06-01
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| Series: | Transactions of the VŠB-Technical University of Ostrava, Mechanical Series |
| Subjects: | |
| Online Access: | http://transactions.fs.vsb.cz/2013-1/1948.pdf |
| Summary: | 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 filled with compressible fluid. The method of asymptotic homogenization is applied to upscale the microscopic model of the fluid-solid interaction under a static loading. Obtained homogenized coefficients describe material properties of the poroelastic matrix fractured by fluid-filled pores whose geometry is described at the mesoscopic level. The second-level upscaling provides homogenized poroelastic coefficients relevant on the macroscopic scale. Furthermore, we study the dependence of these coefficients
on geometrical parameters on related microscopic and macroscopic scales. |
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| ISSN: | 1210-0471 1804-0993 |