Human cortical bone: the SiNuPrOs model

References

• 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 ) : 1539 – 1547 .
   PubMed Web of Science ®Google Scholar
• Aoubiza , B. , Crolet , J.M. , Meunier , A. and Sedel , L. 1992 . “ A new process of mechanical presentation of compact bone. Recent advances, recent advances in ‘computer methods in biomechanics, biomedical engineering’ ” . In Books and Journals International Edited by: Middleton , J. , Pande , G.N. and Wiliams , K.R. 288 – 297 .
   Google Scholar
• Ascenzi , A. and Benvenuti , A. 1971 . The shearing properties of single osteons . Anat. Rec. , 172 : 499 – 510 .
   Google Scholar
• 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 : 455 – 463 .
   PubMedGoogle Scholar
• Ascenzi , A. and Bonucci , E. 1968 . The compressive properties of single ostéons . Anat. Rec. , 161 : 377 – 391 .
   PubMedGoogle Scholar
• 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 ) : 485 – 490 .
   PubMed Web of Science ®Google Scholar
• 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 ) : 939 – 941 .
   PubMed Web of Science ®Google Scholar
• Cowin , S. 2001 . Bone Mechanics Handbook , Boca Raton, IL : CRC Press .
   Google Scholar
• 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 ) : 139 – 143 .
   PubMedGoogle Scholar
• Currey , J.D. 1969 . The relationship between the stiffness and the mineral content of the bone . J. Biomech. , 2 : 477 – 480 .
   PubMed Web of Science ®Google Scholar
• 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 ) : 1281 – 1287 .
   PubMed Web of Science ®Google Scholar
• 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 ) : 387 – 390 .
   PubMedGoogle Scholar
• P. Germain, Mechanical Course of the Cintinum Media, 1973
   Google Scholar
• Hellmich , C.H. and Ulm , F.J. 2002 . “ Hydroxyapatite is uniformly concentrated in the extracollagenous ultrastructure of mineralised tissues ” . In Proceedings of the Fourth Symposium on Computer Methods in Biomechanics and Biomedical Engineering Edited by: Middleton , J. , Shrive , N.G. and Jones , M.L.
   Google Scholar
• 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 : 466 – 474 .
   PubMed Web of Science ®Google Scholar
• Jee , W.S.S. 1999 . “ Structure and function of bone tissue in orthopaedics ” . In Principles of Basic and Clinical Science , Edited by: Bronner , F. and Worrell , R.V. Boca Raton, FL : CRC Press . Chapter 1
   Google Scholar
• Katz , J.L. and Meunier , A. 1987 . The elastic anisotropy of bone . J. Biomech. , 20 ( 11/12 ) : 1063 – 1070 .
   PubMed Web of Science ®Google Scholar
• Katz , J.L. and Ukraincik , K. 1971 . On the anisotropic elastic properties of hydroxyapatite . J. Biomech. , 4 : 221 – 227 .
   PubMed Web of Science ®Google Scholar
• Lucchinetti , E. 2001 . “ Composite models of bone properties ” . In Bone Mechanics Handbook , Edited by: Cowin , S. Boca Raton, FL : CRC Press . Chapter 12
   Google Scholar
• Meunier , A. , Riot , O. , Christel , P. , Katz , J.L. and Sedel , L. 1989 . “ Inhomogeneities in anisotropic elastic constants of cortical bone ” . In Ultrasonics Symposium 1015 – 1018 .
   Google Scholar
• Panasenko , G. 2005 . Multiscale Modelling for Structures and Composites , Dordrecht : Springer .
   Google Scholar
• 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 ) : 909 – 916 .
   PubMed Web of Science ®Google Scholar
• Prendergast , H. 1996 . Microdamage and osteocyte-lacuna strain in bone: a microstructural finite element analysis . J. Biomech. Eng. , 118 : 240 – 246 .
   PubMed Web of Science ®Google Scholar
• Prendergast , P.J. and Van der Meulen , M.C.H. 2001 . “ Mechanics of bone regeneration ” . In Bone Mechanics Handbook , Edited by: Cowin , S. 32 Boca Raton, FL : CRC Press . Chapter 32
   Google Scholar
• 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
   Google Scholar
• 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 ) : 379 – 392 . IOS Press
   PubMedGoogle Scholar
• M. Racila and J.M. Crolet, “Nano and macro structure of cortical bone: numerical investigations”, Mech. Adv. Mater. Struct., 14, pp. 655663, 2007
   Google Scholar
• Rawn . 1989 . Biochemistry , Carolina : Neil Patterson Publishers .
   Google Scholar
• Rho , J.Y. 1996 . An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone . Ultrasonics , 34 : 777 – 783 .
   PubMed Web of Science ®Google Scholar
• Rho , J-Y. , Kuhn-Spearing , L. and Zioupos , P. 1998 . Mechanical properties and the hierarchical structure of bone . Med. Eng. Phys. , 20 : 92 – 102 .
   PubMed Web of Science ®Google Scholar
• 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 ) : 881 – 888 .
   PubMedGoogle Scholar
• Turner , C.H. , Chandran , A. and Pidaparti , R.M.V. 1995 . The anisotropy of osteonal bone and its implications . Bone , 17 ( 1 ) : 85 – 89 .
   PubMedGoogle Scholar
• Wagner , H.D. and Weiner , S. 1992 . On the relationship between the microstructure of bone and its mechanical stiffness . J. Biomech. , 25 ( no.11 ) : 1311 – 1320 .
   PubMedGoogle Scholar