Vol. 6, No. 4, 2018

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ISSN: 2325-3444 (e-only)
ISSN: 2326-7186 (print)
A general method for the determination of the local orthotropic directions of heterogeneous materials: application to bone structures using $\mu$CT images

Christophe Cluzel and Rachele Allena

Vol. 6 (2018), No. 4, 353–367
Abstract

To assess the degree (i.e., isotropy, transverse isotropy, or orthotropy) and the directions of anisotropy of a three-dimensional structure, information about its mesostructure is necessary. Usually, a topological analysis of computed tomography or microcomputed tomography images is performed and requires an interpretation of the constitutive elements of the three-dimensional structure, which may lead to a simplistic description of the geometry. In this paper we propose an alternative technique based on a geometric tensor and we use it to analyze 38 representative elementary volumes extracted from 24 specimens of cortical bone in a human femur whose geometries have been reconstructed via microcomputed tomography images.

Keywords
orthotropic materials, cortical bone, $\mu$CT images, geometric tensor
Milestones
Received: 9 April 2018
Revised: 13 June 2018
Accepted: 29 July 2018
Published: 1 October 2018

Communicated by Francesco dell'Isola
Authors
Christophe Cluzel
Laboratoire de Mécanique et Technologie
Ecole Normale Supérieure Paris Saclay
Cachan
France
Rachele Allena
Institute de Biomécanique Humaine George Charpak
Arts et Métiers ParisTech
Paris
France