Poroelastic nanoindentation responses of hydrated bone

Journal of Materials Research

Volumn 23, Issue 5, 2008, Pages 1307-1314

  Oyen, Michelle L ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CREEP; DEFORMATION; DIFFUSION; ELASTICITY; FINITE ELEMENT METHOD; MECHANICAL PERMEABILITY; NANOINDENTATION; POISSON RATIO; PORE SIZE; POROSITY; STIFFNESS;

COLLAGEN-APATITE INTERACTIONS; HERTZIAN INDENTATION; POROELASTIC ANALYSIS;

BONE;

EID: 44649180515     PISSN: 08842914     EISSN: None     Source Type: Journal    
DOI: 10.1557/jmr.2008.0156     Document Type: Article

References (38)

1. R. Huiskes and B. van Rietbergen: Biomechanics of bone, in Basic Orthopaedic Biomechanics and Mechanobiology, 3rd ed., edited by V.C. Mow and R. Huiskes (Lippincott, Williams and Wilkins, Philadelphia, 2005), Chap. 4, pp. 123-179.
2. F.S. Kaplan, W.C. Hayes, T.M. Keaveny, A. Boskey, T.A. Einhorn, and J.P. Iannotti: Form and function of bone, in Orthopaedic Basic Science, edited by S.R. Simon (AAOS, Rosemont, IL, 1994).
3. J.L. Katz: Hard tissue as a composite material. I. Bounds on the elastic behavior. J. Biomech. 4, 455 (1971).
4. M.L. Oyen and C-C. Ko: Finite element modeling of bone ultrastructure as a two-phase composite, in Mechanical Properties of Bioinspired and Biological Materials, edited by C. Viney, K. Katti, F-J. Ulm, and C. Hellmich (Mater. Res. Soc. Symp. Proc. 844, Warrendale, PA, 2005), Y8.7, pp. 263-268.
5. S.C. Cowin: Bone poroelasticity. J. Biomech. 32, 217 (1999).
6. H.F. Wang: Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology (Princeton University Press, Princeton, NJ, 2000).
7. C.A. Schuh: Nanoindentation studies of materials. Mater. Today 9, 32 (2006).
8. D. Ebenstein and L. Pruitt: Nanoindentation of biological materials. Nano Today 1, 26 (2006).
9. J.S. Field and M.V. Swain: A simple predictive model for spherical indentation. J. Mater. Res. 8, 297 (1993).
10. W.C. Oliver and G.M. Pharr: Improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).
11. E.H. Lee and J.R.M. Radok: Contact problem for viscoelastic bodies. J. Appl. Mech. 27, 438 (1960).
12. T.C.T. Ting: The contact stresses between a rigid indentor and a viscoelastic half-space. J. Appl. Mech. 88, 845 (1966).
13. K.L. Johnson: Contact Mechanics (Cambridge University Press, Cambridge, UK, 1985).
14. M.L. Oyen and A.J. Bushby: Viscoelastic effects in small-scale indentation of biological materials. I. J. Surf. Sci. Eng. (2007, in press).
15. M.L. Oyen: Analytical techniques for indentation of viscoelastic materials. Philos. Mag. 86, 5625 (2006).
16. M.L. Oyen: Spherical indentation creep following ramp loading. J. Mater. Res. 20, 2094 (2005).
17. M.L. Oyen and C-C. Ko: Examination of local variations in viscous, elastic, and plastic indentation responses in healing bone. J. Mater. Sci.: Mater. Med. 18, 623 (2007).
18. R.S. Lakes: Materials with structural hierarchy. Nature 361, 511 (1993).
19. A.K. Bembey, M.L. Oyen, A.J. Bushby, and A. Boyde: Viscoelastic properties of bone as a function of hydration state determined by nanoindentation. Philos. Mag. 86, 5691 (2006).
20. A.K. Bembey, AT Bushby, A. Boyde, V.L. Ferguson, and M.L. Oyen: Hydration effects on bone micro-mechanical properties. J. Mater. Res. 21, 1962 (2006).
21. J.M. Mattice, A.G. Lau, M.L. Oyen, and R.W. Kent: Spherical indentation load-relaxation of soft biological tissues. J. Mater. Res. 21, 2003 (2006).
22. L.K. Agbezuge and H. Deresiewicz: On the indentation of a consolidating half-space. Israel J. of Technol. 12, 322 (1974).
23. A.P.S. Selvadurai: Stationary damage modeling of poroelastic contact. Int. J. Solids Struct. 41, 2043 (2004).
24. M.L. Oyen: Sensitivity of polymer nanoindentation creep properties to experimental variables. Acta Mater. 55, 3633 (2007).
25. M.L. Oyen: Spherical indentation creep following ramp loading, in Fundamentals of Nanoindentation and Nanotribology III, edited by K.J. Wahl, N. Huber, A.B. Mann, D.F. Bahr, and Y-T. Cheng (Mater. Res. Soc. Symp. Proc. 841, Warrendale, PA, 2005), pp. 211-216.
26. L.J. Gibson and M.F. Ashby: Cellular Solids: Structure and Properties, 2nd ed. (Cambridge University Press, Cambridge, UK, 1997).
27. CRC Handbook of Chemistry and Physics, 73rd ed., DR. Lide, editor (CRC Press, Inc., Boca Raton, FL, 1992-1993).
28. P.K. Zysset, X.E. Guo, C.E. Hoffler, K-E. Moole, and S.A. Goldstein: Elastic modulus and hardness of cortical and trabecular bone lamellae measured by nanoindentation in the human femur. J. Biomech. 32, 1005 (1999).
29. C.W. McCutchen: Cartilage is poroelastic, not viscoelastic (including an exact theorem about strain energy and viscous loss, and an order of magnitude relation for equilibration time). J. Biomech. 15, 325 (1982).
30. F. Vollrath: Strength and structure of spiders' silks. Rev. Mol. Biotechnol. 74, 67 (2000).
31. M.M. Ntim, A.K. Bembey, V.L. Ferguson, and A.J. Bushby: Hydration effects on the viscoelastic properties of collagen, in Mechanical Behavior of Biological and Biomimetic Materials, edited by A.J. Bushby, V.L. Ferguson, C-C. Ko, and M.L. Oyen (Mater. Res. Soc. Symp. Proc. 898E, Warrendale, PA, 2006), 0898-L05-02.
32. A.K. Bembey, M.L. Oyen, V.L. Ferguson, A.J. Bushby, and A. Boyde: Effect of water on mechanical properties of mineralized tissue composites, in Mechanics of Biological and Bio-Inspired Materials, edited by C. Viney, K. Katti, C. Hellmich, U. Wegst (Mater. Res. Soc. Symp. Proc. 975E, Warrendale, PA, 2007), 0975-DD09-04.
33. R.S. Lakes: Deformation mechanisms of negative Poisson's ratio materials: Structural aspects. J. Mater. Sci. 26, 2287 (1991).
34. H. Yasuda, C.E. Lamaze, and A. Peterlin: Diffusive and hydraulic permeabilities of water in water-swollen polymer membrane. J. Polym. Sci., Part A-2 9, 1117 (1971).
35. M.A. Fernandez-Seara, S.L. Wehrli, and F.X. Wehrli: Diffusion of exchangeable water in cortical bone studied by nuclear magnetic resonance. Biophys. J. 82, 522 (2002).
36. N. Sasaki and A. Enyo: Viscoelastic properties of bone as a function of water content. J. Biomech. 28, 809 (1995).
37. J.G. Swadener, J-Y. Rho, and G.M. Pharr: Effects of anisotropy on elastic moduli measured by nanoindentation in human tibial cortical bone. J. Biomed. Mater. Res. 57, 109 (2001).
38. T.H. Smit, J.M. Huyghe, and S.C. Cowin: Estimation of the poroelastic parameters of cortical bone. J. Biomech. 35, 829 (2002).