Hierarchical homogenization of fluid saturated porous solid with multiple porosity scales

Comptes Rendus - Mecanique - Tập 340 - Trang 688-694 - 2012
Eduard Rohan1, Salah Naili2, Robert Cimrman3, Thibault Lemaire2
1Faculty of Applied Sciences, University of West Bohemia in Pilsen, Univerzitni 8, 30614 Plzen, Czech Republic
2Université Paris-est, laboratoire modélisation et simulation multi échelle, MSME UMR 8208 CNRS, 61, avenue du Général de Gaulle, 94010 Créteil cedex, France
3New Technologies Research Centre, University of West Bohemia in Pilsen, Univerzitni 8, 30614 Plzen, Czech Republic

Tài liệu tham khảo

Cowin, 1999, Bone poroelasticity (survey), J. Biomech., 32, 217, 10.1016/S0021-9290(98)00161-4 Auriault, 1992, Deformable porous media with double porosity. Quasi-static. I: Coupling effects, Transp. Porous Media, 7, 63, 10.1007/BF00617317 Auriault, 1977, Étude du comportement macroscopique dʼun milieu poreux saturé déformable, J. Mécanique, 16, 575 Baffico, 2008, Homogenization of elastic media with gaseous inclusions, Multiscale Model. Simul., 7, 432, 10.1137/070705714 Cioranescu, 2002, Periodic unfolding and homogenization, C. R. Acad. Sci. Paris, Ser. I, 335, 99, 10.1016/S1631-073X(02)02429-9 Rohan, 2012, Multiscale modeling of a fluid saturated medium with double porosity: Relevance to the compact bone, J. Mech. Phys. Solids, 60, 857, 10.1016/j.jmps.2012.01.013 Yoon, 2008, An estimate of anisotropic constants of an osteon, Biomech. Model. Mechanobiol., 7, 13, 10.1007/s10237-006-0071-9 Dormieux, 2002, Micromechanical approach to the behavior of poroelasticity materials, J. Mech. Phys. Solids, 50, 2203, 10.1016/S0022-5096(02)00008-X Rohan, 2010, Two-scale modelling of tissue perfusion problem using homogenization of dual porous media, Int. J. Multiscale Comput. Eng., 8, 81, 10.1615/IntJMultCompEng.v8.i1.70