Human cortical bone: The SiNuPrOs model: Part I-description and elastic macroscopic results

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 11, Issue 2, 2008, Pages 169-187

  Predoi Racila, M ^a   Crolet, J M ^b  

^a UNIVERSITY OF CRAIOVA   (Romania)

^b UNIVERSITÉ DE FRANCHE COMTÉ   (France)

Author keywords

35B27; 68U20; 74L15; 74S05; 92C10

Indexed keywords

COLLAGEN;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; BONE; BONE MINERALIZATION; CHEMISTRY; COMPUTER PROGRAM; COMPUTER SIMULATION; ELASTICITY; HAVERSIAN CANAL; HISTOLOGY; HUMAN; IMPEDANCE; MECHANICAL STRESS; METABOLISM; PHYSIOLOGY;

ANIMALS; BONE AND BONES; CALCIFICATION, PHYSIOLOGIC; COLLAGEN; COMPUTER SIMULATION; ELASTICITY; ELECTRIC IMPEDANCE; HAVERSIAN SYSTEM; HUMANS; MODELS, BIOLOGICAL; SOFTWARE; STRESS, MECHANICAL;

EID: 43749099670     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255840701695140     Document Type: Article

References (33)

1. Aoubiza, B., Crolet, J. M. and Meunier, A. (1996) On the mechanical characterization of compact bone structure using the homogenization theory. J. Biomech. 29:12, pp. 1539-1547.
2. Aoubiza, B., Crolet, J. M., Meunier, A. and Sedel, L. Middleton, J., Pande, G. N. and Wiliams, K. R. (eds) (1992) A new process of mechanical presentation of compact bone. Recent advances, recent advances in 'computer methods in biomechanics, biomedical engineering'. Books and Journals International pp. 288-297.
3. Ascenzi, A. and Benvenuti, A. (1971) The shearing properties of single osteons. Anat. Rec. 172, pp. 499-510.
4. Ascenzi, A. and Benvenuti, A. (1986) Orientation of collagen fibres at the boundary between two successive osteonic lamellae and its mechanical interpretation. J. Biomech. 19, pp. 455-463.
5. Ascenzi, A. and Bonucci, E. (1968) The compressive properties of single ostéons. Anat. Rec. 161, pp. 377-391.
6. Bloebaum, R. D., Skedros, J. G., Vajda, E. G., Bachus, K. N. and Constantz, B. R. (1997) Determining mineral content variations in bone using backscattered electron imaging. Bone 20:5, pp. 485-490.
7. Burr, D. B., Schaffler, M. B. and Frederickson, R. G. (1988) Composition of the cement line and its possible mechanical role as a local interface in human compact bone. J. Biomech. 21:11, pp. 939-941.
8. Cowin, S. (2001) Bone Mechanics Handbook CRC Press, Boca Raton, IL
9. Crolet, J. M., Racila, M., Mahraoui, R. and Meunier, A. (2005) New numerical concept for hydroxyapatite in human cortical bone. Comput. Methods Biomech. Biomed. Eng. 8:2, pp. 139-143.
10. Currey, J. D. (1969) The relationship between the stiffness and the mineral content of the bone. J. Biomech. 2, pp. 477-480.
11. Dong, X. N. and Guo, X. E. (2004) The dependence of transversely isotropic elasticity of human femoral cortical bone on porosity. J. Biomech. 37:8, pp. 1281-1287.
12. Dong, X. E. and Guy, X. E. (2004) Geometric determinants to cement line debonding and osteonal lamellae failure in osteon pushout tests. J. Biomech. Eng. 126:3, pp. 387-390.
13. P. Germain, Mechanical Course of the Cintinum Media, 1973
14. Hellmich, C. H. and Ulm, F. J. Middleton, J., Shrive, N. G. and Jones, M. L. (eds) (2002) Hydroxyapatite is uniformly concentrated in the extracollagenous ultrastructure of mineralised tissues. Proceedings of the Fourth Symposium on Computer Methods in Biomechanics and Biomedical Engineering
15. Hoc, T., Henry, L., Verdier, M., Aubry, A., Sedel, L. and Meunier, A. (2006) Effect of microsctructure on the mechanical properties of Haversian cortical bone. Bone 38, pp. 466-474.
16. Jee, W. S. S. Bronner, F. and Worrell, R. V. (eds) (1999) Structure and function of bone tissue in orthopaedics. Principles of Basic and Clinical Science CRC Press, Boca Raton, FL - Chapter 1
17. Katz, J. L. and Meunier, A. (1987) The elastic anisotropy of bone. J. Biomech. 20:11/12, pp. 1063-1070.
18. Katz, J. L. and Ukraincik, K. (1971) On the anisotropic elastic properties of hydroxyapatite. J. Biomech. 4, pp. 221-227.
19. Lucchinetti, E. Cowin, S. (ed) (2001) Composite models of bone properties. Bone Mechanics Handbook CRC Press, Boca Raton, FL - Chapter 12
20. Meunier, A., Riot, O., Christel, P., Katz, J. L. and Sedel, L. (1989) Inhomogeneities in anisotropic elastic constants of cortical bone. Ultrasonics Symposium pp. 1015-1018.
21. Panasenko, G. (2005) Multiscale Modelling for Structures and Composites Springer, Dordrecht
22. Pidaparti, R. M. V., Chandran, A., Takano, Y. and Turner, C. H. (1996) Bone mineral lies mainly outside collagen fibrils: predictions of a composite model for osteonal bone. J. Biomech. 29:7, pp. 909-916.
23. Prendergast, H. (1996) Microdamage and osteocyte-lacuna strain in bone: a microstructural finite element analysis. J. Biomech. Eng. 118, pp. 240-246.
24. Prendergast, P. J. and Van der Meulen, M. C. H. Cowin, S. (ed) (2001) Mechanics of bone regeneration. Bone Mechanics Handbook p. 32. CRC Press, Boca Raton, FL - Chapter 32
25. M. Racila, "Mathematical modeling of multiscale transfer of mechanical signals in human cortical bone. Theoretical aspects and computational methods", PhD Thesis, University of Franche-Comte, http://tel.ccsd.cnrs.fr/tel-00011578 2005
26. Racila, M. and Crolet, J. M. (2006) Human cortical bone: computer method for physical behaviour at nano scale. Constant pressure assumption. Technol. Health Care-J. Eur. Soc. Eng. Med. 14:4,5, pp. 379-392. - IOS Press
27. M. Racila and J.M. Crolet, "Nano and macro structure of cortical bone: numerical investigations" , Mech. Adv. Mater. Struct., 14, pp. 655663, 2007
28. Rawn (1989) Biochemistry Neil Patterson Publishers, Carolina
29. Rho, J. Y. (1996) An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone. Ultrasonics 34, pp. 777-783.
30. Rho, J-Y., Kuhn-Spearing, L. and Zioupos, P. (1998) Mechanical properties and the hierarchical structure of bone. Med. Eng. Phys. 20, pp. 92-102.
31. Sevostianov, I. and Kachanov, M. (2000) Impact of the porous microstructure on the overall elastic properties of the osteonal cortical bone. J. Biomech. 33:7, pp. 881-888.
32. Turner, C. H., Chandran, A. and Pidaparti, R. M. V. (1995) The anisotropy of osteonal bone and its implications. Bone 17:1, pp. 85-89.
33. Wagner, H. D. and Weiner, S. (1992) On the relationship between the microstructure of bone and its mechanical stiffness. J. Biomech. 25:no.11, pp. 1311-1320.