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Identification of a probabilistic model of the geometrical and mechanical properties for a nonhomegeneous cortical bone using in vivo measurements in ultrasonic range

Abstract : The purpose of this paper is the construction of an uncertain probabilistic model for the mechanical properties of the cortical bone. The main objective is firstly to propose a probabilistic simplified model adapted to the ultrasonic axial transmission technique and secondly to present an experimental identification using this technique. The simplified model is constructed as a fluid-solid semi-infinite multilayered system in which the solid layer (the cortical bone) is a homogeneous anisotropic elastic material and the two others semi-infinite layers are fluids. This model is a rough approximation of the real biomechanical model and it can be improved by taking into account the uncertainties related to the elasticity tensor with a probabilistic model. In this paper, the parameters of the probabilistic model are the mean elasticity tensor and a dispersion coefficient. A complete application is presented for the human cortical bone for which an experimental database is available.
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Submitted on : Saturday, April 28, 2012 - 5:26:55 PM
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  • HAL Id : hal-00692159, version 1

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Christophe Desceliers, Christian Soize, Q. Grimal, M. Talmant, Salah Naili. Identification of a probabilistic model of the geometrical and mechanical properties for a nonhomegeneous cortical bone using in vivo measurements in ultrasonic range. 16th International Congress on Sound and Vibration (ICSV16), Jul 2009, Krakow, Poland, Poland. pp.1-7. ⟨hal-00692159⟩

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