Vol. 6, No. 4, 2018

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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

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.

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

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