Multiscale modeling of a fluid saturated medium with double porosity: Relevance to the compact bone
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Salah Naili | Eduard Rohan | Robert Cimrman | Thibault Lemaire | R. Cimrman | E. Rohan | S. Naili | T. Lemaire
[1] Doina Cioranescu,et al. The Periodic Unfolding Method in Homogenization , 2008, SIAM J. Math. Anal..
[2] Eduard Rohan,et al. Modeling Large-deformation-induced Microflow in Soft Biological Tissues , 2006 .
[3] S C Cowin,et al. Mechanosensation and fluid transport in living bone. , 2002, Journal of musculoskeletal & neuronal interactions.
[4] Eduard Rohan,et al. On modelling the parallel diffusion flow in deforming porous media , 2007, Math. Comput. Simul..
[5] John H. Cushman,et al. Multiscale, hybrid mixture theory for swelling systems—II: constitutive theory , 1996 .
[6] Eduard Rohan,et al. Two-Scale Modeling of Tissue Perfusion Problem Using Homogenization of Dual Porous Media , 2010 .
[7] Georges Griso,et al. On the homogenization of a diffusion–deformation problem in strongly heterogeneous media , 2007 .
[8] A F Mak,et al. Numerical simulation of streaming potentials due to deformation-induced hierarchical flows in cortical bone. , 2001, Journal of biomechanical engineering.
[9] S. Whitaker. The method of volume averaging , 1998 .
[10] U. Hornung. Homogenization and porous media , 1996 .
[11] W. Rudin. Real and complex analysis , 1968 .
[12] S. Cowin,et al. A model for strain amplification in the actin cytoskeleton of osteocytes due to fluid drag on pericellular matrix. , 2001, Journal of biomechanics.
[13] John H. Cushman,et al. Multiscale, hybrid mixture theory for swelling systems—I: balance laws , 1996 .
[14] E. Sanchez-Palencia. Non-Homogeneous Media and Vibration Theory , 1980 .
[15] Zhangxin Chen,et al. Transient flow of slightly compressible fluids through double-porosity, double-permeability systems — A state-of-the-art review , 1989 .
[16] E H Burger,et al. Differential stimulation of prostaglandin G/H synthase-2 in osteocytes and other osteogenic cells by pulsating fluid flow. , 2000, Biochemical and biophysical research communications.
[17] H J Donahue,et al. Differential effect of steady versus oscillating flow on bone cells. , 1998, Journal of biomechanics.
[18] Eduard Rohan,et al. Sensitivity strategies in modelling heterogeneous media undergoing finite deformation , 2003, Math. Comput. Simul..
[19] S. Pollack,et al. An anatomical model for streaming potentials in osteons. , 1984, Journal of biomechanics.
[20] S. Cowin,et al. On the calculation of bone pore water pressure due to mechanical loading , 1998 .
[21] S. Cowin,et al. A model for the excitation of osteocytes by mechanical loading-induced bone fluid shear stresses. , 1994, Journal of biomechanics.
[22] J. H. Cushman,et al. Two-scale, three-phase theory for swelling drug delivery systems. Part II: flow and transport models. , 2008, Journal of pharmaceutical sciences.
[23] K. Piekarski,et al. Transport mechanism operating between blood supply and osteocytes in long bones , 1977, Nature.
[24] Abimael F. D. Loula,et al. Micromechanical computational modeling of secondary consolidation and hereditary creep in soils , 2001 .
[25] S. Cowin. Bone mechanics handbook , 2001 .
[26] Doina Cioranescu,et al. The periodic unfolding method for perforated domains and Neumann sieve models , 2008 .
[27] S. Naili,et al. Cylindre transverse isotrope porolastique charg cycliquement : application un oston , 2004 .
[28] Claude Boutin,et al. Deformable porous media with double porosity. Quasi-statics. II: Memory effects , 1993 .
[29] Salah Naili,et al. Transverse isotropic poroelastic osteon model under cyclic loading , 2005 .
[30] Patrick de Buhan,et al. The constitutive equations of finite strain poroelasticity in the light of a micro-macro approach , 1998 .
[31] S. Cowin,et al. A case for bone canaliculi as the anatomical site of strain generated potentials. , 1995, Journal of biomechanics.
[32] Thibault Lemaire,et al. Multiscale analysis of the coupled effects governing the movement of interstitial fluid in cortical bone , 2006, Biomechanics and modeling in mechanobiology.
[33] Thibault Lemaire,et al. Interstitial fluid flow in the osteon with spatial gradients of mechanical properties: a finite element study , 2008, Biomechanics and modeling in mechanobiology.
[34] Eduard Rohan,et al. Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media , 2012, Math. Comput. Simul..
[35] Thibault Lemaire,et al. Study of the influence of fibrous pericellular matrix in the cortical interstitial fluid movement with hydroelectrochemical effects. , 2008, Journal of biomechanical engineering.
[36] Claude Boutin,et al. Deformable porous media with double porosity. Quasi-statics. I: Coupling effects , 1992 .
[37] Melissa L. Knothe Tate,et al. Whither flows the fluid in bone?" An osteocyte's perspective. , 2003 .
[38] M. Biot. General Theory of Three‐Dimensional Consolidation , 1941 .
[39] Doina Cioranescu,et al. Periodic unfolding and homogenization , 2002 .
[40] R. A. Brand,et al. Modeling Deformation-Induced Fluid Flow in Cortical Bone’s Canalicular–Lacunar System , 2005, Annals of Biomedical Engineering.
[41] John H. Cushman,et al. MODIFIED DARCY'S LAW, TERZAGHI'S EFFECTIVE STRESS PRINCIPLE AND FICK'S LAW FOR SWELLING CLAY SOILS , 1997 .
[42] Gaffar Gailani,et al. Hierarchical poroelasticity: movement of interstitial fluid between porosity levels in bones , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[43] M. Biot. THEORY OF ELASTICITY AND CONSOLIDATION FOR A POROUS ANISOTROPIC SOLID , 1955 .
[44] S. Nemat-Nasser,et al. Micromechanics: Overall Properties of Heterogeneous Materials , 1993 .
[45] John H. Cushman,et al. Thermomechanical theories for swelling porous media with microstructure , 2000 .
[46] J. Klein-Nulend,et al. MECHANOTRANSDUCTION IN BONE : ROLE OF THE LACUNOCANALICULAR NETWORK , 1999 .
[47] J. H. Cushman,et al. A Multiscale Theory of Swelling Porous Media: II. Dual Porosity Models for Consolidation of Clays Incorporating Physicochemical Effects , 1997 .
[48] Ralph E. Showalter,et al. Double-diffusion models from a highly-heterogeneous medium☆ , 2004 .