A NOVEL APPROACH TO ESTIMATE TRABECULAR BONE ANISOTROPY USING FABRIC TENSORS DERIVED FROM STRESS TENSORS

Javad Hazrati Marangalou, Bert van Rietbergen, Keita Ito Orthopaedic

References

  1. [1] D. R. Carter and W. C. Hayes, Bone compressivestrength: the influence of density and strain rate, Science,194, 1976, 1174-1176.
  2. [2] J. C. Rice, S. C. Cowin, and J. A. Bowman, On thedependence of the elasticity and strength of cancellousbone on apparent density, Journal of Biomechanics, 21,1988, 155-168.
  3. [3] E. F. Morgan, H. H. Bayraktar, and T. M. Keaveny,Trabecular bone modulus-density relationships depend onanatomic site, Journal of Biomechanics 36, 2003, 897-904.
  4. [4] L. Rincon-Kohli and P. K. Zysset, Multi-axialmechanical properties of human trabecular bone, BiomechModel Mechanobiol, 8, 2009, 195-208.
  5. [5] S. C. Cowin, The relationship between the elasticitytensor and the fabric tensor, Mechanics of Materials, 4,1985, 137-147.
  6. [6] P. K. Zysset, R. W. Goulet, and S. J. Hollister, Aglobal relationship between trabecular bone morphologyand homogenized elastic properties, J Biomech Eng,120,1998, 640-646.
  7. [7] A. Odgaard, Three-dimensional methods forquantification of cancellous bone architecture, Bone, 20,1997, 315-328.
  8. [8] T. P. Harrigan and R. W. Mann, Characterization ofmicrostructural anisotropy in orthotropic materials using asecond rank tensor, Journal of Materials Science, 19,1984, 761-767.
  9. [9] C. H. Turner, S. C. Cowin, J. Y. Rho, R. B. Ashman,and J. C. Rice, The fabric dependence of the orthotropicelastic constants of cancellous bone, Journal ofBiomechanics, 23, 1990, 549-561.
  10. [10] J. Kabel, B. van Rietbergen, A. Odgaard, and R.Huiskes, Constitutive relationships of fabric, density, andelastic properties in cancellous bone architecture, Bone,25, 1999, 481-486.
  11. [11] D. H. Pahr and P. K. Zysset, A comparison ofenhanced continuum FE with micro FE models of humanvertebral bodies, J Biomech, 42, 2009, 455-62.
  12. [12] J. Vander Sloten and G. Van der Perre, Trabecularstructure compared to stress trajectories in the proximalfemur and the calcaneus, Journal of BiomedicalEngineering, 11, 1989, 203-208.
  13. [13] D. P. Fyhrie and D. R. Carter, A unifying principlerelating stress to trabecular bone morphology, Journal ofOrthopaedic Research, 4, 1986, 304-317.
  14. [14] P. K. Zysset and A. Curnier, An alternative model foranisotropic elasticity based on fabric tensors, Mechanicsof Materials, 21, 1995, 243-250.
  15. [15] Bergmann G., Graichen F., Rohlmann A., A. Bender,B. Heinlein, G.N. Duda, M.O. Heller, and M. M.Morlock3, Realistic loads for testing hip implants " Bio-Medical Materials and Engineering, 20, 2010 2010, 65-75.s670

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