Abstract
The bone is a hierarchically structured material with mechanical properties depending on its architecture at all scales. In this paper, a trabecular bone multiscale model based on finite element analysis was developed to link sub-nanoscopic scale (Microfibril) and nanoscopic (Fibril) to predict the orthotropic properties of bone at different structural level. To identify the orthotropic properties, we used an inverse identification algorithm. The approach shows a good efficiency in computing.
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References
Rho, J.Y., Kuhn-Spearing, L., Zioupos, P.: Mechanical properties and the hierarchical structure of bone. Med. Eng. Phys. 20, 92–102 (1998)
Sansalone, V., Naili, S., Bousson, V., Bergot, C., Peyrin, F., Zarka, J., Laredo, J.D., Haïat, G.: Determination of the heterogeneous anisotropic elastic properties of human femoral bone: From nanoscopic to organic scale. Journal of Biomechanics 43, 1857–1863 (2010)
Hambli, R., Katerchi, H., et al.: Multiscale methodology for bone remodelling simulation using coupled finite element and neural network computation. Biomechanics and Modeling in Mechanobiology (2010)
Tovar, A.: Bone remodeling as a hybrid cellular automaton optimization process. PhD dissertation, University of Notre Dame, Indiana (2004)
Martínez-Reina, J., García-Aznar, J.M., Domínguez, J., Doblaré, M.: A bone remodelling model including the directional activity of BMUs. Biomech. Model Mechanobiol. 8, 111–127 (2009)
Doblare, M., Garcia, J.M.: Anisotropic bone remodelling model based on a continuum damage-repair theory. J. Biomech. 35(1), 1–17 (2002)
Fernandes, P., Rodrigues, H., Jacobs, C.: A model of bone adaptation using a global optimisation criterion based on the trajectorial theory of Wolff. Comput. Methods Biomech. Biomed. Eng. 2(2), 125–138 (1999)
Jacobs, C.R., Simo, J.C., Beaupre, G.S., Carter, D.R.: Adaptive bone remodeling incorporating simultaneous density and anisotropy considerations. J. Biomech. 30(6), 603–613 (1997)
Hart, R.T., Fritton, S.P.: Introduction to finite element based simulation of functional adaptation of cancellous bone. Forma 12, 277–299 (1997)
Elham, H., Iwona, J., Andrew, Y., YikHan, L., Tadeusz: Multiscale Modeling of Elastic Properties of Trabecular Bone. J. Royal Society Interface 9(72), 1654–1673 (2012)
Vaughan, T.J., McCarthy, C.T., McNamara, L.M.: A three scale finite element investigation into the effects of tissue mineralization and lamellar organization in human cortical and trabecular bone. Journal of the Mechanical Behavior of Biomedical Materials, 50–62 (2012)
Hulmes, D.J.S., Wess, T.J., Prockop, D.J., Fratzl, P.: Radial Packing, Order, and Disorder In Collagen Fibrils. Biophysical Journal 68(5), 1661–1670 (1995)
Orgel, J.P.R.O., Irving, T.C., Miller, A., Wess, T.J.: Microfibrillar structure of type I collagen in situ. P. Natl. Acad. Sci. USA 103(24), 9001–9005 (2006)
Aladin, D.M., Cheung, K.M., Ngan, A.H., Chan, D., Leung, V.Y., Lim, C.T., Luk, K.D., Lu, W.W.: Nanostructure of collagen fibrils in human nucleus pulposus and its correlation with macroscale tissue mechanics. J. Orthop. Res. 28(4), 497–502 (2010)
Abdelwahed, B., Ridha, H.: Nanomechanical properties of mineralized collagen microfibrils based on finite elements method:biomechanical role of cross-links. Comp. Met. in Biomech. and Biomed. Eng (2012)
Khaterchi, H., Chamekh, A., BelHadjSalah, H.: Détermination des propriétés élastiques anisotropes homogènes de l’os spongieux à l’échelle nanoscopique (2012)
Hulmes, D.J.S.: Building Collagen Molecules, Fibrils, and Suprafibrillar Structures. Journal of Structural Biology 137, 2–10 (2002)
Ciarelli, M.J., Goldstein, S.A., Kuhn, J.L., et al.: Evaluation of orthogonal mechanical properties and density of human trabecular bone from the major metaphyseal regions with materials testing and computed tomography. J. Orthop. Res. 9, 674–682 (1991)
Pithioux, M., Lasaygues, P., Chabrand, P.: An alternative ultrasonic method for measuring the elastic properties of cortical bone. J. Biomech. 35, 961–968 (2002)
Buskirk, W.C., Van Ashman, R.B.: The elastic moduli of bone in mechanical properties of bone. In: Joint ASME-ASCE Conf., vol. 45, pp. 131–143 (1981)
Malvern, L.E.: Introduction to the Mechanics of a Continuous Medium. Prentice-Hall Series in Engineering of the Physical Sciences (1969)
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Khaterchi, H., Chamekh, A., Belhadjsalah, H. (2013). Multi-scale Modelling of Orthotropic Properties of Trabecular Bone in Nanoscale. In: Haddar, M., Romdhane, L., Louati, J., Ben Amara, A. (eds) Design and Modeling of Mechanical Systems. Lecture Notes in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37143-1_67
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DOI: https://doi.org/10.1007/978-3-642-37143-1_67
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