Ultrasound monitoring of multiphase architectured media: Bandgap tracking via the measurement of the reflection coefficient
Résumé
Characterizing the mechanics of periodic scaffolds used for bone tissue repair, while maintaining their structural
integrity, is a challenging problem. By leveraging concepts arising from the bulk phononic crystal community,
here we investigate the reflection of elastic waves propagating through a water-immersed biphasic architectured
medium in the ultrasonic regime. Towards this goal, Bloch–Floquet analysis is applied on a 2D unit cell made of
a soft inclusion embedded in a hard matrix, to recover its corresponding phononic band structure. Exploring the
modal conversion at the boundary between the homogeneous incident medium and the architectured one allows
identifying a bandgap within the considered frequency range, which exhibits a significant sensitivity to varying
volume fraction of the soft phase. Conducting further numerical analyzes, which account for the viscoelasticity
of the two constituent phases, along with the finite-size and bounded nature of the architectured medium, shows
that a sudden amplitude rise of the reflection coefficient takes place at a frequency that is closely related to the
upper limit of this bandgap. This hypothesis is experimentally verified on 3D-printed bio-mimicking samples,
which exhibit an in-plane periodicity at a length scale of a few hundred micrometers. Altogether, the reported
results suggest that tracking prohibited frequency bands via the measurement of the reflection coefficient allows
for the monitoring of micro-architectured media like scaffolds.