Articular cartilage with intra and extrafibrillar waters - Simulations of mechanical and chemical loadings by the finite element method

Computer Methods in Applied Mechanics and Engineering

Volumn 197, Issue 51-52, 2008, Pages 4840-4857

  Loix, Fabrice ^a   Simões, Fernando M F ^b   Loret, Benjamin ^c  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^c LABORATOIRE SOLS SOLIDES STRUCTURES   (France)

Author keywords

Articular cartilage; Diffusion; Finite element; Fixed charge; Mechanics

Indexed keywords

BOUNDARY VALUE PROBLEMS; CARTILAGE; CONSTITUTIVE MODELS; DIFFUSION; ELASTICITY; MECHANICS; SODIUM CHLORIDE; STRUCTURAL DESIGN;

ARTICULAR CARTILAGES; CHEMO-MECHANICAL MODEL; DISTRIBUTION OF WATER; FINITE ELEMENT FORMULATIONS; FIXED CHARGES; GENERALIZED DIFFUSION; GENERALIZED DIFFUSION EQUATION; SUCCESSIVE SUBSTITUTIONS;

FINITE ELEMENT METHOD;

EID: 53749087112     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.07.004     Document Type: Article

References (22)

1. Loret B., and Simões F.M.F. Articular cartilage with intra- and extra-fibrillar waters. A chemo-mechanical model. Mech. Mater. 36 5-6 (2004) 515-541
2. Loret B., and Simões F.M.F. Mechanical effects of ionic replacements in articular cartilage. I. The constitutive model. Biomech. Model. Mechanobiol. 4 2-3 (2005) 63-80
3. 2. Biomech. Model. Mechanobiol. 4 2-3 (2005) 81-99
4. Loret B., and Simões F.M.F. Articular cartilage with intra- and extra-fibrillar waters. Mass transfer and generalized diffusion. Eur. J. Mech.-A/Solids 26 (1995) 759-788
5. Snijders H., Huyghe J.M., and Janssen J.D. Triphasic finite element model for swelling porous media. Int. J. Numer. Methods Fluids 20 (1995) 1039-1046
6. Simon B.R., Liable J.P., Pflaster D., Yuan Y., and Krag M.H. A poroelastic finite element formulation including transport and swelling in soft tissue structures. J. Biomech. Engrg., Trans. ASME 118 (1996) 1-9
7. Frijns A.J.H., Huyghe J.M., and Janssen J.D. A validation of the quadriphasic mixture theory for intervertrebral disc tissue. Int. J. Engrg. Sci. 35 (1997) 1419-1429
8. Levenston M.E., Eisenberg S.R., and Grodzinsky A.J. A variational formulation for coupled physicochemical flows during finite deformations of charged porous media. Int. J. Solids Struct. 35 (1998) 4999-5019
9. Sun D.N., Gu W.Y., Guo X.E., Lai W.M., and Mow V.C. A mixed finite element formulation of triphasic mechano-electrochemical theory for charged hydrated biological soft tissues. Int. J. Numer. Methods Engrg. 45 (1999) 1375-1402
10. Lai W.M., Hou J.S., and Mow V.C. A triphasic theory for the swelling and deformation behaviors of articular cartilage. J. Biomech. Engrg., Trans. ASME 113 (1991) 245-258
11. Hon Y.C., Lu M.W., Xue W.M., and Zhou X. A new formulation and computation of the triphasic model for mechano-electrochemical mixtures. Comput. Mech. 24 (1999) 155-165
12. Hon Y.C., Lu M.W., Xue W.M., and Zhou X. Numerical algorithm for triphasic model of charged and hydrated soft tissues. Comput. Mech. 29 (2002) 1-15
13. Lanir Y. Biorheology and fluid flux in swelling tissues. I. Bicomponent theory for small deformation, including concentration effects. Biorheology 24 (1987) 173-187
14. Wilson W., van Donkelaar C.C., and Huyghe J.M. A comparison between mechano-electrochemical and biphasic swelling theories for soft hydrated tissues. J. Biomech. Engrg., Trans. ASME 127 (2005) 158-165
15. Iatridis J.C., Laible J.P., and Krag M.H. Influence of fixed charge density magnitude and distribution on the intervertebral disc: applications of a poroelastic and chemical electrical (PEACE) model. J. Biomech. Engrg., Trans. ASME 125 (2003) 12-24
16. Yao H., and Gu W.Y. Physical signals and solute transport in cartilage under dynamic unconfined compression: finite element analysis. Ann. Biomed. Engrg. 32 3 (2004) 380-390
17. Maroudas A., Wachtel E., Grushko G., Katz E.P., and Weinberg P. The effect of osmotic and mechanical pressures on water partitioning in articular cartilage. Biochim. Biophys. Acta 1073 (1991) 285-294
18. Eisenberg S.R., and Grodzinsky A.J. Swelling of articular cartilage and other connective tissues: electromechanochemical forces. J. Orthopaed. Res. 3 (1985) 148-159
19. Loret B., and Prévost J. Dynamic strain localization in water-saturated porous media. J. Engrg. Mech., ASCE 117 4 (1991) 907-922
20. Maroudas A. Physico-chemical properties of cartilage in the light of ion exchange theory. Biophys. J. 8 (1968) 575-595
21. Maroudas A. Biophysical chemistry of cartilaginous tissues with special reference to solute and fluid transport. Biorheology 12 (1975) 233-248
22. Aifantis E. Introducing a multi-porous medium. Dev. Mech. 8 (1977) 209-211