Comptes Rendus
Modélisation multi-échelle des propriétés mécaniques de l'os : étude à l'échelle de la fibrille
[Multiscale modelling of mechanical properties of bone: study at the fibrillar scale]
Comptes Rendus. Mécanique, Volume 335 (2007) no. 8, pp. 436-442.

The exceptional mechanical properties of bones are not only the result of the amount and type of the micro-constituents, but also of their morphological organization at the different lower scales. We present here a multiscale strategy to deal with such a hierarchical structure. This strategy leads to a numerical homogenization procedure which is in between classical deterministic and purely macroscopical approaches. Numerical simulations show the dependency of the axial elastic modulus of the fibril on the mineral volume fraction.

Les remarquables propriétés mécaniques des tissus osseux sont dues à leur organisation structurelle particulière. Différentes techniques d'analyse multi-échelle existent pour relier ces caractéristiques microscopiques au comportement macroscopique du tissu osseux. Dans ce travail, nous adoptons une technique d'homogénéisation s'appuyant sur des équivalences énergétiques. Cette technique permettant de modéliser des milieux multistructurels est intermédiaire entre les approches déterministes classiques et les traitements purement macroscopiques. Nous appliquons notre approche au cas des tissus osseux afin de corréler le module élastique axial avec la teneur volumique minérale à la petite échelle de la fibrille.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2007.06.003
Mot clés : Biomécanique, Modèle multi-échelle, Propriétés élastiques, Calcul numérique, Structure osseuse
Keywords: Biomechanics, Multiscale modelling, Elastic properties, Numerical calculation, Bone structure

Vittorio Sansalone 1; Thibault Lemaire 1; Salah Naili 1

1 Laboratoire de Mécanique Physique, Biomécanique et Biomatériaux Ostéo-Articulaires, CNRS UMR 7052 B2OA, Faculté des Sciences et Technologie, Université Paris 12 – Val de Marne, 61, avenue du Général de Gaulle, 94010 Créteil cedex, France
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     title = {Mod\'elisation multi-\'echelle des propri\'et\'es m\'ecaniques de l'os : \'etude \`a l'\'echelle de la fibrille},
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Vittorio Sansalone; Thibault Lemaire; Salah Naili. Modélisation multi-échelle des propriétés mécaniques de l'os : étude à l'échelle de la fibrille. Comptes Rendus. Mécanique, Volume 335 (2007) no. 8, pp. 436-442. doi : 10.1016/j.crme.2007.06.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.06.003/

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