PMID: 8945652Dec 1, 1996Paper

On the mechanical characterization of compact bone structure using the homogenization theory

Journal of Biomechanics
B AoubizaA Meunier

Abstract

In a previous paper (Crolet et al., 1993, J. Biomechanics 26, 677-687), a modelling of the mechanical behavior of compact bone was presented, in which the homogenization theory was the basic tool of computation. In this simulation, approximations were used for the modelling of the lamellae and the osteons: the lamella and the osteon were divided into cylindrical sectors, each sector being approximated as a parallelepiped having a periodic structure (fibrous composite for the lamella, superimposition of plates for the osteon). The present study deals with a new model without these approximations. First, it can be proved that the homogenized elasticity tensor for a lamella, which has non-periodic structure, is obtained at each geometrical point as a homogenized tensor of a periodic problem. Similarly, for the osteonal structure, the components of the homogenized tensor are determined at each point as the result of a periodic homogenization. The software OSTEON, which is the computational method associated with this model, allows one to obtain a better understanding of the effects of many bony parameters. The obtained results are in accordance with experimental data.

References

Jan 1, 1991·Journal of Biomechanics·S J HollisterS A Goldstein
Jan 1, 1989·Journal of Biomechanics·S C Cowin, M M Mehrabadi
Jun 1, 1993·Journal of Biomechanics·J M CroletA Meunier
Mar 1, 1969·Journal of Biomechanics·F G Evans, R Vincentelli
Oct 1, 1969·Journal of Biomechanics·J D Currey

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Citations

Jan 27, 2011·Biomechanics and Modeling in Mechanobiology·Quentin GrimalPascal Laugier
Sep 10, 2011·Tissue Engineering. Part B, Reviews·Scott J Hollister, William L Murphy
Jul 17, 2008·Journal of the Royal Society, Interface·William J Parnell, Quentin Grimal
Jun 24, 2004·Journal of Biomechanics·X Neil Dong, X Edward Guo
Nov 30, 2010·Journal of Biomechanics·Elena Cherkaev, Carlos Bonifasi-Lista
Aug 12, 2009·Journal of Biomechanics·Justin M DeuerlingRyan K Roeder
Apr 2, 2011·Journal of Biomechanics·Quentin GrimalPascal Laugier
May 9, 2012·Computer Methods in Biomechanics and Biomedical Engineering·Lukas EberhardsteinerStefan Scheiner
Jun 15, 2007·Computer Methods in Biomechanics and Biomedical Engineering·L P MullinsP E McHugh
Feb 26, 2008·Computer Methods in Biomechanics and Biomedical Engineering·M Predoi-Racila, J M Crolet
Dec 10, 2019·Computer Methods in Biomechanics and Biomedical Engineering·R CesarJ M D A Rollo

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