Fluid pressure response in poroelastic materials subjected to cyclic loading

Journal of the Mechanics and Physics of Solids

Volumn 57, Issue 11, 2009, Pages 1815-1827

  Kameo, Yoshitaka ^a   Adachi, Taiji ^a,b   Hojo, Masaki ^a  

^a KYOTO UNIVERSITY   (Japan)

^b RIKEN   (Japan)

Author keywords

Bending moment; Cyclic loading; Poroelasticity; Porous material; Transient response

Indexed keywords

ANALYTICAL SOLUTIONS; BENDING LOADING; CYCLIC LOADING; CYCLIC LOADINGS; DIMENSIONLESS FREQUENCY; DIMENSIONLESS PARAMETERS; DIMENSIONLESS STRESS; FLUID PRESSURES; INTERSTITIAL FLUID PRESSURES; MECHANICAL BEHAVIOR; PEAK VALUES; POROELASTIC MATERIALS; POROELASTICITY; STEADY STATE; STEADY-STATE RESPONSE; TRANSIENT BEHAVIOR; TRANSIENT PROPERTY; TRANSIENT RESPONSE; TRANSIENT STAGE;

BENDING (DEFORMATION); BENDING MOMENTS; CYCLIC LOADS; FLUIDS; LOADING; MECHANICAL ENGINEERING; POROUS MATERIALS; TRANSIENT ANALYSIS;

STRESS ANALYSIS;

EID: 70349249282     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2009.08.002     Document Type: Article

References (38)

1. Adachi T., Tsubota K., Tomita Y., and Hollister S.J. Trabecular surface remodeling simulation for cancellous bone using microstructural voxel finite element models. J. Biomech. Eng. 123 5 (2001) 403-409
2. Beno T., Yoon Y.J., Cowin S.C., and Fritton S.P. Estimation of bone permeability using accurate microstructural measurements. J. Biomech. 39 13 (2006) 2378-2387
3. Biot M.A. General theory of three-dimensional consolidation. J. Appl. Phys. 12 2 (1941) 155-164
4. Biot M.A. Theory of elasticity and consolidation for a porous anisotropic solid. J. Appl. Phys. 26 2 (1955) 182-185
5. Bredehoeft J.D. Response of well-aquifer systems to earth tides. J. Geophys. Res. 72 12 (1967) 3075-3087
6. Burger E.H., and Klein-Nulend J. Mechanotransduction in bone-role of the lacuno-canalicular network. FASEB J. 13 (1999) S101-S112
7. Coussy O. Poromechanics (2004), Wiley, Ltd., England 298 pp
8. Cowin S.C. Bone poroelasticity. J. Biomech. 32 3 (1999) 217-238
9. Detournay E., and Cheng A.H.-D. Fundamentals of poroelasticity. Comprehensive rock engineering: principles, practice and projects. In: Fairhurst C. (Ed). Analysis and Design Method vol. II (1993), Pergamon Press, Oxford 113-171 (Chapter 5)
10. Harrigan T.P., and Hamilton J.J. Bone strain sensation via transmembrane potential changes in surface osteoblasts: loading rate and microstructural implications. J. Biomech. 26 2 (1993) 183-200
11. Jacob C.E. On the flow of water in an elastic artesian aquifer. Trans. Am. Geophys. Union 22 (1940) 783-787
12. Johnson M.W., Chakkalakal D.A., Harper R.A., Katz J.L., and Rouhana S.W. Fluid flow in bone in vitro. J. Biomech. 15 11 (1982) 881-885
13. Johnson M.W. Behavior of fluid in stressed bone and cellular-stimulation. Calcif. Tissue Int. 36 Suppl. 1 (1984) S72-S76
14. Kameo Y., Adachi T., and Hojo M. Transient response of fluid pressure in a poroelastic material under uniaxial cyclic loading. J. Mech. Phys. Solids 56 5 (2008) 1794-1805
15. Kufahl R.H., and Saha S. A theoretical model for stress-generated fluid flow in the canaliculi-lacunae network in bone tissue. J. Biomech. 23 2 (1990) 171-180
16. Manfredini P., Cocchetti G., Maier G., Redaelli A., and Montevecchi F.M. Poroelastic finite element analysis of a bone specimen under cyclic loading. J. Biomech. 32 2 (1999) 135-144
17. Mow V.C., Kuei S.C., Lai W.M., and Armstrong C.G. Biphasic creep and stress-relaxation of articular-cartilage in compression: theory and experiments. J. Biomech. Eng. 102 1 (1980) 73-84
18. Nowinski J.L., and Davis C.F. A model of the human skull as a poroelastic spherical shell subjected to a quasistatic load. Math. Biosci. 8 (1970) 397-416
19. Quilty E.G., and Roeloffs E.A. Removal of barometric pressure response from water level data. J. Geophys. Res. 96 B6 (1991) 10209-10218
20. Rémond A., and Naili S. Transverse isotropic poroelastic osteon model under cyclic loading. Mech. Res. Commun. 32 6 (2005) 645-651
21. Rémond A., Naili S., and Lemaire T. Interstitial fluid flow in the osteon with spatial gradients of mechanical properties: a finite element study. Biomech. Model. Mechanobiol. 7 (2008) 487-495
22. Roeloffs, E.A., 1996. Poroelastic techniques in the study of earthquake-related hydrologic phenomena. Adv. Geophys. 135-195 (Academic Press Inc., San Diego).
23. Rojstaczer S. Determination of fluid-flow properties from the response of water levels in wells to atmospheric loading. Water Resour. Res. 24 11 (1988) 1927-1938
24. Ruimerman R., Hilbers P., van Rietbergen B., and Huiskes R. A theoretical framework for strain-related trabecular bone maintenance and adaptation. J. Biomech. 38 4 (2005) 931-941
25. Smit T.H., Huyghe J.M., and Cowin S.C. Estimation of the poroelastic parameters of cortical bone. J. Biomech. 35 6 (2002) 829-835
26. Swan C.C., Lakes R.S., Brand R.A., and Stewart K.J. Micromechanically based poroelastic modeling of fluid flow in haversian bone. J. Biomech. Eng. 125 1 (2003) 25-37
27. Tsubota K., Adachi T., and Tomita Y. Functional adaptation of cancellous bone in human proximal femur predicted by trabecular surface remodeling simulation toward uniform stress state. J. Biomech. 35 12 (2002) 1541-1551
28. Wang H.F. Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology (2000), Princeton University Press, Princeton 287 pp
29. Wang Y.L., McNamara L.M., Schaffler M.B., and Weinbaum S. A model for the role of integrins in flow induced mechanotransduction in osteocytes. Proc. Natl. Acad. Sci. USA 104 40 (2007) 15941-15946
30. Weinbaum S., Cowin S.C., and Zeng Y. A model for the excitation of osteocytes by mechanical loading-induced bone fluid shear stresses. J. Biomech. 27 3 (1994) 339-360
31. Williams J.L. Ultrasonic wave propagation in cancellous and cortical bone: prediction of some experimental results by Biot's theory. J. Acoust. Soc. Am. 91 2 (1992) 1106-1112
32. Wolff J. Ueber die Bedeutung der Architectur der spongiosen Substanz fur die Frage vom Knochenwachsthum. Zentralblatt fur die medizinische Wissenschaft. VI. Jahrgang 6 (1869) 223-234
33. Wolff J. Das gesetz der transformation der knochen (1892), Hirschwald, Berlin
34. Wolff J. The Law of Bone Remodeling (1986), Springer, Berlin (translated by P. Maquet and R. Furlong)
35. Yang M., and Taber L.A. The possible role of poroelasticity in the apparent viscoelastic behavior of passive cardiac muscle. J. Biomech. 24 7 (1991) 587-597
36. You L.D., Weinbaum S., Cowin S.C., and Schaffler M.B. Ultrastructure of the osteocyte process and its pericellular matrix. Anat. Rec. A 278A (2004) 505-513
37. Zhang D., and Cowin S.C. Oscillatory bending of a poroelastic beam. J. Mech. Phys. Solids 42 10 (1994) 1575-1599
38. Zhang D., Weinbaum S., and Cowin S.C. On the calculation of bone pore water pressure due to mechanical loading. Int. J. Solids Struct. 35 34-35 (1998) 4981-4997