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Experimental identification of a priori tensor-valued random field for the elasticity properties of cortical bones using in vivo ultrasonic measurements

Abstract : The biomechanical materials are among the most complex mechanical systems. Most often, their micro-structure are complex and random. This is the case for the human cortical bones which are considered in this paper. For such a system, the micro-structure can be altered near its interface with the marrow (osteoporosis). A gradient of porosity is then observed in the thickness direction but, in this case, none of the usual theories of porous materials can be applied. For this reason, we present a simplified model with gradient for the elasticity tensor. The elasticity tensor is modelled by a random field. In this paper, the parameters of this probabilistic model are identified with experimental observations in ultrasonic range.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00698785
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Submitted on : Thursday, May 17, 2012 - 8:01:53 PM
Last modification on : Thursday, March 19, 2020 - 11:52:03 AM
Long-term archiving on: : Saturday, August 18, 2012 - 2:22:46 AM

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  • HAL Id : hal-00698785, version 1

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Christophe Desceliers, Christian Soize, S. Naili, G. Haiat. Experimental identification of a priori tensor-valued random field for the elasticity properties of cortical bones using in vivo ultrasonic measurements. Joint conference of the 2012 Annual IOA Meeting and the 11th French Congress of Acoustics, Apr 2012, Nantes, France. pp.1-5. ⟨hal-00698785⟩

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