Related Experiment Video
Updated: May 25, 2026

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population
Published on: January 31, 2025
Ultrasonic wave propagation in viscoelastic cortical bone plate coupled with fluids: a spectral finite element study
1a Laboratoire Modélisation et Simulation Multi Echelle , Université Paris-Est , MSME UMR 8208 CNRS, 61 avenue du Général de Gaulle, 94010 , Créteil Cedex , France.
Abstract:
This work deals with the ultrasonic wave propagation in the cortical layer of long bones which is known as being a functionally graded anisotropic material coupled with fluids. The viscous effects are taken into account. The geometrical configuration mimics the one of axial transmission technique used for evaluating the bone quality. We present a numerical procedure adapted for this purpose which is based on the spectral finite element method (FEM). By using a combined Laplace-Fourier transform, the vibroacoustic problem may be transformed into the frequency-wavenumber domain in which, as radiation conditions may be exactly introduced in the infinite fluid halfspaces, only the heterogeneous solid layer needs to be analysed using FEM. Several numerical tests are presented showing very good performance of the proposed approach. We present some results to study the influence of the frequency on the first arriving signal velocity in (visco)elastic bone plate.
Related Concept Videos
Fluid Pressure over Curved Plate of Constant Width
Standing Waves in a Cavity
Speed of Sound in Solids and Liquids
Elastic Strain Energy for Shearing Stresses
Deriving the Speed of Sound in a Liquid
The speed of sound in fluids can be derived by considering a mechanical wave propagating...
Sound Waves
Sound waves are longitudinal in most fluids because fluids cannot sustain any lateral pressure. In solids, however, shear forces help in propagating the disturbance in the lateral direction as well. Hence,...

