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Probabilistic model of human cortical bones with uncertain mechanical properties: Modelling and identification with experimental measurements in ultrasonic range

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 microstructure 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 usual theory of porous materials can be applied. For this reason, we present a simplified model with gradient for the elasticity tensor. The predictability of this model is improved by taking into account uncertainties. The elasticity tensor is then modeled by a random field. This random model is well adapted for the modeling of the random experimental measurements in ultrasonic range for the human cortical bone.
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Submitted on : Tuesday, May 1, 2012 - 2:52:07 PM
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Christophe Desceliers, Christian Soize, S. Naili, Q. Grimal, M. Talmant. Probabilistic model of human cortical bones with uncertain mechanical properties: Modelling and identification with experimental measurements in ultrasonic range. Sixth International Conference on Computational Stochastic Mechanics, Jun 2010, Rhodos, Greece. pp.P022, Pages: 206-212, ⟨10.3850/978-981-08-7619-7⟩. ⟨hal-00692833⟩

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