Nondestructive Estimation of Mechanical Orthogonality of Human Trabecular Bone by Computed Tomography and Spherical Indentation Test

  • Bae Tae Soo (Biomedical Research Centre, Korea Institute of Science and Technology, Department of Mechanical Engineering, Sogang University) ;
  • Lee Tae Soo (Department of Mechanical Engineering, Sogang University) ;
  • Choi Kuiwon (Biomedical Research Centre, Korea Institute of Science and Technology)
  • Published : 2005.04.01

Abstract

The elastic modulus and the apparent density of the trabecular bone were evaluated from spherical indentation tests and Computed Tomography (CT) and their relationship was quantified. The femurs were prepared for trabecular bone analysis. Embedded with respect to their anatomical orientation, the transverse planes of the trabecular bone specimens were scanned at 1㎜ intervals using a CT scanner. The metaphyseal regions of femurs were sectioned with a diamond-blade saw, producing 8㎜ cubes. Using a specially made spherical indentation tester, the cubes were mechanically tested in the anterior-posterior (AP), medial-lateral (ML), and inferior-superior (IS) directions. After determination of modulus from the mechanical testing, the apparent densities of the specimens were measured. The results showed that the IS modulus was significantly greater than both the AP and ML moduli with the AP modulus greater than the ML modulus. This demonstrated that orthogonality was a structural characteristic of the trabecular bone. The power relationship between the modulus and the apparent density was also found to be statistically significant.

Keywords

References

  1. Ashman RB, 'Elastic modulus of trabecular bone material', J. Biomech ,Vol. 21, pp.177-81, 1988 https://doi.org/10.1016/0021-9290(88)90167-4
  2. Brown TD, Ferguson AB, 'Mechanical property distributions in the cancellous bone of the human proximal femur', Acta orthop scand, Vol.51, pp.429-37, 1980 https://doi.org/10.3109/17453678008990819
  3. Gibson LJ, 'The mechanical behavior of cancellous bone', J. Biomech, Vol. 18, pp.317-28, 1985 https://doi.org/10.1016/0021-9290(85)90287-8
  4. Martin RB, 'The relative effects of collagen fiber orientation, porosity, density, and mineralization on bone strength', J. Biomech, Vol. 22, pp.419-26, 1989 https://doi.org/10.1016/0021-9290(89)90202-9
  5. Inderbir Singh, 'The architecture of cancellous bone', J. Anat., Vol.127, pp.305-10, 1978
  6. Rice JC, Cowin SC, Bowman JA, 'On the depencence of the elasticity and strength of cancellous bone on apparent density', J. Biomech, Vol. 21, pp.155-68, 1988 https://doi.org/10.1016/0021-9290(88)90008-5
  7. Schaffler MB, Burr DB, 'Stiffness of compact bone: Effects of porosity and density', J. Biomech, Vol.21, pp.13-6, 1988 https://doi.org/10.1016/0021-9290(88)90186-8
  8. Carter DR, Hayes WC, 'The compressive behavior of bone as a two-phase porous structure', J. Bone Joint Surg., Vol.59(A), pp.954-62, 1977 https://doi.org/10.2106/00004623-197759070-00021
  9. Goldstein SA, 'The mechanical properties of trabecular bone: dependence on anatomical location and junction', J. Biomech, Vol.20, pp.1055-61, 1987 https://doi.org/10.1016/0021-9290(87)90023-6
  10. Choi K, Goldstein SA, 'A comparison of the fatigue behavior of human trabecular and cortical bone tissue', J. Biomech, Vol.18, pp.1325-81, 1992
  11. Latz JF, Gerhart SA, Hayes WC, 'Mechanical properties of trabecular bone from the proximal femur: A quantitative study', J. Comput. Assist. Tomogr., Vol.14, pp.107-14,1990 https://doi.org/10.1097/00004728-199001000-00020
  12. Lisbeth R${\Phi}$HL, 'Tensile and compressive properties of cancellous bone', J. Biomech, Vol.24, pp.1143-9, 1991 https://doi.org/10.1016/0021-9290(91)90006-9
  13. Martin RB, 'Determinants of the mechanical properties of bones', J. Biomech, Vol.24, pp.79-88, 1991 https://doi.org/10.1016/0021-9290(91)90379-2
  14. McBroom RJ, Hayes WC, Edwards WT, Goldberg RP, White AA, 'Prediction of vertebral body compressive fracture using quantitative computed tomography', J. Bone Joint Surg, Vol.67(A), pp.1206-14, 1985 https://doi.org/10.2106/00004623-198567080-00010
  15. Ciarelli MJ, Goldstein SA, Kuhn JL, Cody DD, Brown MB, 'Evaluation of orthogonal mechanical properties and density of human trabecular bone from the major metaphyseal regions with materials testing and computed tomography', J. Orthop Res., Vol. 9, pp.674-82, 1991 https://doi.org/10.1002/jor.1100090507
  16. Charles H, Turner. 'The elastic properties of trabecular and cortical bone tissue are similar: results from two microscopic measurement techniques', J. Biomech, Vol.32, pp.437-41, 1999 https://doi.org/10.1016/S0021-9290(98)00177-8
  17. Currey JD, 'The effect of porosity and mineral content on the young's modulus of elasticity of compact bone', J. Biomech, Vol.21, pp.131-9, 1988 https://doi.org/10.1016/0021-9290(88)90006-1
  18. Katz JL, 'The elastic anisotropy of bone', J. Biomech, Vol. 20, pp.1063-70, 1987 https://doi.org/10.1016/0021-9290(87)90024-8
  19. Van Buskirk WC, Ashman RB, 'The elastic moduli of bone. Mechnical properties of bone', The American Society of Mechanical Engineers, Vol. 45, pp.131-44, 1981
  20. Williams JL, Lewis JL, 'Properties and an anisotropic model of cancellous bone from the proximal tibial epiphysis', J. Biomech Eng., Vol.104, pp.50-56, 1982 https://doi.org/10.1115/1.3138303
  21. Francis HA, Phenomenological analysis of plastic shperical indentation, Transactions of the ASME, J. Engng Mater and Tech., pp.272-81, 1976
  22. Gubicza J, Juhasz A, Arato A, Szommer P, Tasnadi P, Voros G. , 'Elastic modulus determination from depth sensing indentation testing', J. Mater Sci. Letters, Vol. 15, pp.2141-4, 1996
  23. Tabor D, 'A simple theory of static and dynamic hardness', Proc Roy Soc., Vol.192(A), pp.247-74, 1948
  24. Frank Linde, Ivan Hvid, 'Stiffness behavior of trabecular bone specimens', J. Biomech, Vol.29, pp.83-9, 1987
  25. Goulet RW, Goldstein SA, Ciarelli MJ, Kuhn JL, Brown MB, Feldkamp LA, 'The relationship between the structure and orthogonal compressive properties of trabecular bone', J. Biomech, Vol. 27, pp.375-89, 1994 https://doi.org/10.1016/0021-9290(94)90014-0