Ultrasound is now a clinically accepted modality in the management of osteoporosis. The
most common commercial clinical devices assess fracture risk from measurements of …

From an acoustical point of view, bone is a complex medium as it is heterogeneous,
anisotropic and viscoelastic. This chapter reviews the basic notions of physical acoustics …

We investigate the potential of fractional order operators to develop accurate and efficient
models for acoustic black hole (ABH) terminations in ducts. While previous research has …

Three-dimensional numerical simulations of ultrasound transmission were performed
through 31 trabecular bone samples measured by synchrotron microtomography. The …

We present the analytical formulation and the finite element solution of a fractional-order
nonlocal continuum model of a Euler-Bernoulli beam. Employing consistent definitions for …

This study presents a generalized elastodynamic theory, based on fractional-order
operators, capable of modelling the propagation of elastic waves in non-local attenuating …

This study presents the analytical and finite element formulation of a geometrically nonlinear
and fractional-order nonlocal model of an Euler–Bernoulli beam. The finite nonlocal strains …

In cancellous bone, longitudinal waves often separate into fast and slow waves depending
on the alignment of bone trabeculae in the propagation path. This interesting phenomenon …

Acoustic wave propagation in bovine cancellous bone is experimentally and theoretically
investigated in the frequency range of 0.5–1 MHz. The phase velocity, attenuation …

The goal of this work was to show that the apparent negative dispersion of ultrasonic waves
propagating in bone can arise from interference between fast and slow longitudinal modes …