Lamellar compact bone failure in tensile dynamic loading
Keywords:
structural approach, interactions between fibres, finite elements method, dynamics, Mohr Coulomb cohesive law, traction experimentsAbstract
Shock Biomechanics is a research domain mainly devoted to the development of safety conditions during locomotion and also in accidentology, or sport practices. The objective of this study is to improve the knowledge of the biomechanical behaviour of bones to sudden tensile dynamic loading. Femur and tibia are often broken during a shock, but actually, bones behaviours are studied in quasi-static but the failure caused by dynamic loading has not drawn the attention of many authors. Many of the tissues which constitute the lower limb, such as cartilage, ligaments and bones are fibrous. The objective of this work is to finely analyse the failure of a lamellar fibrous compact bone caused by a shock. The originality of this work is to describe failure in terms of the loss of cohesion between fibres of lamellar bone in dynamic loading. This model permits us to investigate the role plays by various parameters which influence failure of bones. Among them, bone porosity was found to be the most significant. In parallel, failure profiles of bovine compact bones are analysed experimentally in dynamic. Results were found to be comparable with our numerical model.
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Aamodt A, Lund-Larsen J, Eine J, Andersen E, Benum P, Schnell Husby O., “In vivo
measurements show tensile axial strain in the proximal lateral aspect of the human
femur”, Journal of Orthopeadic Research, 1997, 15, 927-931.
Bonfield W., Li, C.H., “Deformation and fracture of bone”, Journal of applied Physical, 37,
, 1966, 869-875.
Bonucci E., Motta, P.M., “Collagen mineralization: Aspects of structural relationship between
collagen and the apatic crystallites”, Ultrastructure of Skeletal Tissues, Kluwer Academic
Publisher, 1990, 41-62.
Carter D.R., Caler, W.E., “A cumulative Damage Model for Bone Fracture”, Journal of
Orthopeadic Research, 3, 1985, 84-90.
Comminou M., Yannas, I., “Dependence of stress-strain nonlinearity of connective tissues on
the geometry of collagen fibers”, Journal of Biomechanics, 9, 1976, 427-433.
Crolet J.M., Aoubiza, B., Meunier, A., “Compact Bone: Numerical Simulation of Mechanical
Characteristics”, Journal of. Biomechanics, 26, 6, 1993, 677-687.
Currey J.D., “The Mechanical Properties of Bone”, Clin Orthop Related research, 73, 1970,
-231.
Evans F.G., Bang, S., “Difference and relationships between the physical property and the
microscopic structure of human femoral, tibial and fibular cortical bone”, American
Journal of Anatomy, 120, 1967, 79-88.
Fung Y.C., Biomechanics. Mechanical properties of living tissues, Springer-Verlag, 1993.
Gilmore, R.S., Katz, J.L., “Elastic properties of apatites”, Journal of Materials Science, 17,
, 1131-1141.
Gottesman T., Hashin, Z., “Analysis of viscoelastic behaviour of Bones on the basis of
microstructure”, Journal of Biomechanics, 13, 1980, 89-96.
Hodge A., Petruska, J., Electron microscopy, In Academic Press, New York, 1962.
Jean M., “Frictional contact in rigid or deformable bodies: numerical simulation of
geomaterials”, A. P. S. Salvaduai J. M. Boulon, Elsevier Science Publisher, Amsterdam,
, 463-486.
Jean M., “The non Smooth Contact Dynamic method”, Comput. Methods Appl. Mech. Engrg,
editors Martins, Klarbring, Elsevier, 177, 1999, 235-257.
Katsamanis F, Raftopoulos DD, “Determination of mechanical properties of human femoral
cortical bone by the hopkinson bar stress technique”, J. Biomechanics, 23, 1990, 1173-
Katz J.L., Ukraincik K., “On the anisotropic elastic properties of hydroxyapatite”, Journal of
Biomechanics, 4, 1971, 221-227.
Katz J.L., “The structure and biomechanics of bone. Mechanical Properties of Biological
Materials”, Cambridge University Press, Cambridge, 34,. 1979, 137-168.
Piekarski K., “Fracture of bone”, Journal of applied physics, 41, 1, 1970, 215-223.
Piekarski K., “Analysis of bone as a composite material”, Journal Engineering Science, 11,
, 557-565.
Pithioux M., Lois de comportement et modèles de rupture des os longs, Thèse Université Aix
Marseille II (2000)
Pithioux M., Chabrand P., Mazerolle F., “Statistical failure model of bones”, Journal of
Mechanics in Medecine and Biology, vol 2, n° 1, 2002, p. 19-27.
Pithioux M., Subit D., Chabrand P., “Compact bones failure models in quasi-static and
dynamic solicitations”, Medical Engineering & Physics, vol 26, 2004, p. 647-653.
Reilly D.T., Burstein, A.H., “The elastic and ultimate properties of compact bone tissue”,
Journal of. Biomechanics, 8, 10, 1975, 393-405.
Saha S, Hayes WC., “Relations between tensile impact properties and microstructure of
compact bone”, Calcif. Tissue Res, 1977, 24: 65-72.
Sasaki N., Odajima S., “Strain-Stress curve and Young’s modulus of a collagen molecule as
determined by the X-ray diffraction technique”, Journal of Biomechanics, 29, 5, 1996,
-658.
Sasaki N., Odajima, S., “Elongation mechanism of collagen fibrils and force strain relations
of tendon at each level of structural hierarchy”, Journal of Biomechanics, 29, 9, 1996,
-1136.
Weiner S., Traub, W., “Bone structure: from Angstroms to microns”, The Federation of
American Societies for Experimental Biology Journal, 6, 1992, 879-885.