Mathematical model of human osteon and its validation by nanomechanical testing of bone lamella

0430530 - ÚTAM 2015 RIV US eng J - Journal Article
Korsa, R. - Lukeš, J. - Šepitka, J. - Kytýř, Daniel - Mareš, T.
Mathematical model of human osteon and its validation by nanomechanical testing of bone lamella.
Computer methods in biomechanics and biomedical engineering. Roč. 17, SUPP. 1 (2014), s. 24-25. ISSN 1025-5842. E-ISSN 1476-8259.
[Congress of the Societe-de-Biomecanique /39./. Valenciennes, 27.08.2014-29.08.2014]
R&D Projects: GA ČR(CZ) GAP105/10/2305
Institutional support: RVO:68378297
Keywords : osteon * lamella * micromechanics * elastic constants * nanoindentation
Subject RIV: JJ - Other Materials
Impact factor: 1.770, year: 2014
http://www.tandfonline.com/doi/abs/10.1080/10255842.2014.931078#.VBq66E0cRaQ

Knowledge of the anisotropic elastic properties of osteon and osteonal lamellae is the key to a description of the elasticity of cortical bone. Various analytical and computational models have been proposed for predicting the mechanical properties of bone at different structural levels. (Hamed et al. 2010) modelled the hierarchical structure of bone at more than one level, using multiple step-by-step micromechanics-based homogenization to capture the behaviour of bone spanning from nano- to sub- microstructure levels. A feature of our model is that we have developed an inverse homogenization scheme from the macroscopic scale of cortical bone to the single lamella level. There are also experimental methods for studies of cortical bone at the level of osteon and osteonal lamella, e.g. instrumented nanoindentation (Lukes et al. 2009), atomic force microscopy (Lefevre et al. 2013) and the ultrasound method (Rho 1996). To validate the mathematical model presented here, we determined the mechanical properties of a single lamella in three perpendicular directions using instrumented nanoindentation.
Permanent Link: http://hdl.handle.net/11104/0235453