Simulation of non linear transient elastography: finite element model for the propagation of shear waves in soft tissues
Résumé
Weakly nonlinear viscoelastic Landau's theory, widely used in acoustical physic, is introduced into a Finite Element formulation to model the nonlinear behaviour of finite amplitude shear waves in soft solids, typically, in biological tissues. Numerical models for plane waves are developed and compared to transient elastography experiments. A good agreement is achieved as we observe the generation of odd harmonics. Simulation results are confronted to an existing analytical model; we show that the numerical model is an extension of the analytical formulation and helps identifying non-linear parameters in a wider range of experimental conditions.
Domaines
Biomécanique [physics.med-ph]
Origine : Fichiers produits par l'(les) auteur(s)
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