Experimental identification in the ultrasonic range of a mechanical model for cortical bones

Christophe Desceliers (1) , Christian Soize (1) , Q. Grimal (2) , M. Talmant (2) , S. Naili (3)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle
2 LIP - Laboratoire d'Imagerie Paramétrique
3 LMP - Laboratoire de mécanique physique

This paper deals with the construction of a simplified elastoacoustic model which allows the ultrasonic wave propagation to be simulated in a complex biomechanical system. This simplified model consists in a fluid-solid multilayer System. In this simplified model, the main source of uncertainties is due to the constitutive equation for the solid layer which is chosen as a homogeneous transverse isotropic elastic medium. In order to improve this simplified model, a probabilistic model of the effective elasticity tensor of the solid medium is developped. A method is presented for the experimental identification in a statistical sense of the model parameters using the ultrasonic transmission technique. A complete application is presented for the human cortical bone for which an experimental database is available.

Mots clés: uncertainty quantification; statistical inverse problem; experimental identification; ultrasonic; cortical bones; nonparametric probabilistic method; model uncertainties; modeling errors

Domaines: Mécanique [physics.med-ph]; Probabilités [math.PR]; Biomécanique [physics.med-ph]

Christophe Desceliers, Christian Soize, Q. Grimal, M. Talmant, S. Naili. Experimental identification in the ultrasonic range of a mechanical model for cortical bones. International Conference on Noise and Vibration Engineering, Katholieke Univ Leuven, Sep 2008, Leuven, France. pp.Pages: 3777-3785. ⟨hal-00686143⟩