title: Simulation of ultrasonic wave propagation in anisotropic poroelastic bone plate using hybrid spectral/finite element method.
abstract: This paper deals with the modeling of guided waves propagation in in vivo cortical long bone, which is known to be anisotropic medium with functionally graded porosity. The bone is modeled as an anisotropic poroelastic material by using Biot's theory formulated in high frequency domain. A hybrid spectral/finite element formulation has been developed to find the time-domain solution of ultrasonic waves propagating in a poroelastic plate immersed in two fluid halfspaces. The numerical technique is based on a combined Laplace-Fourier transform, which allows to obtain a reduced dimension problem in the frequency-wavenumber domain. In the spectral domain, as radiation conditions representing infinite fluid halfspaces may be exactly introduced, only the heterogeneous solid layer needs to be analyzed by using finite element method. Several numerical tests are presented showing very good performance of the proposed procedure. A preliminary study on the first arrived signal velocities computed by using equivalent elastic and poroelastic models will be presented.
authors.affiliation: Laboratoire Modélisation et Simulation Multi Echelle, Université Paris-Est, MSME UMR 8208 CNRS, 61 Avenue du Général de Gaulle, 94010 Créteil, France.
authors.forename: Vu-Hieu
authors.initials: VH
authors.lastname: Nguyen
authors.forename: Salah
authors.initials: S
authors.lastname: Naili
mesh_terms: D016880:Anisotropy; D001860:Bone Plates; D001842:Bone and Bones / Q000502:physiology* / Q000601:surgery*; D003198:Computer Simulation; D004548:Elasticity / Q000502:physiology*; D020342:Finite Element Analysis; D008962:Models, Theoretical; D016062:Porosity; D013997:Time Factors; D014465:Ultrasonics / Q000379:methods*
keywords: cortical bone; functionally graded plate; hybrid spectral/finite element; poroelastic; ultrasound