Abstract
The bone is a hierarchically structured material with mechanical properties depending on its architecture at all scales. It’s important to take account the impact of Water which plays a significant role in the bio-mineralization process and serves as a plasticizer, enhancing the toughness of bone. In this study, a trabecular bone multiscale model based on finite element analysis was developed to link scales from nano to macroscale in order to predict the orthotropic properties of bone at different structural level. An inverse identification algorithm is used in order to identify the orthotropic properties. Furthermore, the effect of water is incorporated. Good agreement is found between theoretical and experimental results.
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References
Almer JD, Stock SR (2007) Micromechanical response of mineral and collagen phases in bone. J Struct Biol 157:365–370
Barkaoui A, Chamekh A, Merzouki T, Hambli R, Mkaddem A (2013) Multiscale approach including microfibril scale to assess elastic constants of cortical bone based on neural network computation and homogenization method. Int J Numer Meth Biomed Eng. https://doi.org/10.1002/cnm.2604
Buehler MJ (2008) Nanomechanics of collagen fibrils under varying cross-link densities: atomistic and continuum studies. J Mech Behav Biomed Mater 1(1):59–67
Eppell SJ, Smith BN, Kahn H, Ballarini R (2006) Nano measurements with micro-devices: mechanical properties of hydrated collagen fibrils. J R Soc Interface 3(6):117–121
Goldstein SA (1987) The mechanical properties of trabecular bone: dependence on anatomic location and function. J Biomech 20(11–12):1055–1061
Hamed E et al (2012) Multiscale modeling of elastic properties of trabecular bone. J R Soc Interface 9(72):1654–1673
Hamed E, Lee Y, Jasiuk I (2010) Multiscale modeling of elastic properties of trabecular bone. Acta Mech 213(1–2):131–154
Hang F, Barber AH (2011) Nano-mechanical properties of individual mineralized collagen fibrils from bone tissue. J R Soc Interface 8:500–505
Hoffler CE, Moore KE, Kozloff K, Zysset PK, Goldstein SA (2000) Age, gender, and bone lamellae elastic moduli. J Orthop Res 18:432–437
Khaterchi H, BelHadjSalah H (2015) A comparative study of the mechanical properties of hierarchical trabecular bone with other approaches and existing experimental data. J Biomim Biomater Biomed Eng 23:76–84
Khaterchi H, Belhadjsalah H (2013) A three scale identification of orthotropic properties of trabecular bone. In: CMBBE, vol 16, no, si., pp 272–274
Martínez-Reina J, Domínguez J, García-Aznar JM (2011) Effect of porosity and mineral content on the elastic constants of cortical bone: a multiscale approach. Biomech Model Mechanobiol 10:309–322
Rho JY, Kuhn-Spearing L, Zioupos P (1998) Mechanical properties and the hierarchical structure of bone. Med Eng Phys 20:92–102
Rho JY, Zioupos P, Currey JD, Pharr GM (2002) Microstructural elasticity and regional heterogeneity in aging human bone examined by nano-indentation. J Biomech 35:161–165
Vaughan T.J, McCarthy C.T, McNamara L.M. 2012. 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 behaviour of biomedical materials, 50–62
Weiner S, Wagner HD (1998) The material bone: structure mechanical function relations. Annu Rev Mater Res 28:271–298
Yoon YJ, Cowin SC (2008) An estimate of anisotropic poroelastic constants of an osteon. Biomech Model Mechanobiol 7:13–26
Yoon YJ, Cowin SC (2008) The estimated elastic constants for a single bone osteonal lamella. Biomech Model Mechanobiol 7:1–11
Yuan F, Stock SR, Haeffner DR, Almer JD, Dunand DC, Brinson LC (2011) A new model to simulate the elastic properties of mineralized collagen fibril. Biomech Model Mechanobiol 10:147–160
Zysset PK, Guo XE, Hoffler CE, Moore KE, Goldstein SA (1999) Elastic modulus and hardness of cortical and trabecularbone lamellae measured by nanoindentation in the human femur. J Biomech 32:1005–1012
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Khaterchi, H., Belhadjsalah, H. (2020). Multiscale Approach from Nanoscale to Macroscale to Identify Orthotropic Properties of Trabecular Bone Based on FEM. In: Aifaoui, N., et al. Design and Modeling of Mechanical Systems - IV. CMSM 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-27146-6_21
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DOI: https://doi.org/10.1007/978-3-030-27146-6_21
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