A novel 3D microstructural model for trabecular bone: I. The relationship between fabric and elasticity

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 1, Issue 4, 1998, Pages 321-331

  Zysset, P K ^a   Ominsky, M S ^b   Goldstein, S A ^b  

^a EPFL   (Switzerland)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Cellular solids; Elasticity; Fabric; Mechanical properties; Microstructure; Trabecular bone

Indexed keywords

ANATOMICAL LOCATIONS; CANCELLOUS BONE; CELL GEOMETRIES; CELLULAR SOLIDS; CLOSED CELLS; DEGREES OF ANISOTROPY; ELASTIC TENSORS; FINITE ELEMENT MODELS; HUMAN BONES; MEAN INTERCEPT LENGTH; MICROSTRUCTURAL MODELS; MORPHOLOGY AND MECHANICAL PROPERTIES; PERIODIC BOUNDARY CONDITIONS; TISSUE PROPERTIES; TRABECULAR BONES;

BIOMECHANICS; ELASTICITY; FABRICS; FINITE ELEMENT METHOD; MECHANICAL PROPERTIES; MICROSTRUCTURE; TENSORS; THREE DIMENSIONAL; THREE DIMENSIONAL COMPUTER GRAPHICS; TISSUE;

BONE;

EID: 0008361681     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/01495739808936710     Document Type: Article

References (29)

1. Beaupre. G, S, and Hayes. W. C. (1985). Journal of Biomechanical Engineering, 107, 249-256.
2. Cruz-Orive, L. M., Karlsson, L. M., Larsen, S. E. and Wainschtein. F. (1992). Micron and Microscopica Acta. 23, 75-76.
3. Curnier, A., He, Qv-C. and Zysset, P. (1995). Journal of Elasticity, 37, 1-38.
4. Dalstra, M., Huiskes, R., Odgaard, A. and Erning, L. V. (1993). Journal of Biomechanics, 26, 523-535.
5. Fyhrie, D. P. and Corter, D. R. (1986). Journal of Orthopaedic Research, 4, 304-317.
6. Gibson. L. J. (1995). Journal of Biomechanics, 18, 317-328.
7. Gibson. L. J. and Ashby, M. F. (1988). Cellulor Solids: structure and properties. Pergamon Press. Oxford.
8. Goldstein, S. A., Goulet. R. and McCubbrey, D. (1993). Calcified Tissue International. 53, 127-133.
9. Guldberg. R. E., Hollister, S. J. and Charras, G. T. (1998). The Journal of Biornechanical Engineering, 120, 289-295.
10. Harrigan, T. P. and Mann, R. W. (1984). Journal of Materials Science, 19,761-767.
11. Horrigan, T. P., Jasty, M., Mann, R. W. and Harris, W. H, (1988). Journal of Biomechanics. 21, 269-275.
12. Hollister, S. J., Fyhrie, D. P., Jepsen, K. J. and Goldstein, S. A. (1991). Journal of Biomechanics, 24, 825-839.
13. Jensen, K. S. and Mosekilde, L. (1990). Bone, 11, 417-423.
14. Kabel, J., VanRietbergen, B., Odgaard, A. and Huiskes. R. (1997). Fabric and volume fraction can accurately predict mechanical properties for a wide range of trabecular architectures. Transactions of the 43rd annual meeting of the ORS, Son Francisco, 2, 800.
15. Kanarani, K, (1984). International Journal of Engineering and Science, 22, 531.
16. Klever, F. J. (1984). On the mechanics of failure of artificial knee joints. Thesis. University of Twente.
17. Odgaard, A., Jensen, E. B. and Gundersen, H. J. G. (1990). Journal of Microscopy. 159, 335-342.
18. Odgaard, A. and Linde, F. (1991). Journal of Biomechanics. 24, 691-698.
19. Ominsky, M. S., Zysset, P. K. and Goldstein. S. A. (1997). Elastic properties of 3D cells for trabecular bone: digital vs structural finite element models. Advances in Bioengineer' jng ASME, Dallas. 36, 7-8.
20. Pugh, J. W., Rose, R. M. and Rodin, E. L. (1973). Journal of Biomechanics, II. 657-670.
21. Rice, J. c., Cowin, S. C. and Bowman. J. A. (1988). Journal of Biomechanics. 21, 155-168.
22. Silva. M. J. and Gibson, L. J. (1995). International Journal of Mechanical Sciences. [in press].
23. Snyder, B. D. and Hayes, W. C. (1990). Multiaxial structure-property relations in trabecular bone. In Biomechanics of Diarthrodial Joints (ed. Mow V. c., Ratcliffe A. and Woo S. L.-Y.), Springer Verlag, New York, 31-59.
24. Turner, C. H. and Cowin, S. C. (1988). Journal of Biomechanical Engineering, 110,213-215.
25. Turner. C. H., Cowin, S. C., Rho, J. Y., Ashman, R. B. and Rice, J. C. (1990). Journal of Biomechanics, 23, 549-561.
26. Whitehouse, W. J. (1974). Journal of Microscopy, 101, 153-168.
27. Zysset, P. K. and Curnier, A. (1995). Mechanics of Moterials, 21, 243-250.
28. Zysset, P. K. and Curnier, A. (1996). Journal of Biomechanics, 29, 1549-1558.
29. Zysset, P. K., Goulet, R. W. and Hollister, S. J. (1997). Prediction of theelastic behaviourof humantrabecular bone from morphology and tissue properties. Transactions of the 43rd annual meeting of the ORS. San Francisco, I, 64.