Approximate Theory of Torsional Wave Propagation in Elastic, Composite Cylinders

Wave propagation theory in offshore applications

A frequency-wavenumber-domain formulation is presented in this paper for calculation of the Green's functions and wave propagation modes in a stratified fluid body underlain by a layered viscoelastic soil medium. The Green's functions define the solid and fluid displacements and fluid pressures due to uniform disk loads acting in either the soil or fluid media. The solution is in the frequency ...

Effective wave propagation in a prestressed nonlinear elastic composite bar

The problem of determining the effective incremental response of nonlinearly elastic composite materials given some initial prestress is of interest in numerous application areas. In particular, the case when small-amplitude elastic waves pass through a prestressed inhomogeneous structure is of great importance. Of specific interest is how the initial finite deformation affects the microstructu...

Torsional Waves in Composite Co-axial Cylinders with Imperfect Interfaces

We consider the propagation of time-harmonic torsional waves in composite bi-material elastic cylinders. The interface between the core and the surrounding cladding is assumed to be imperfect: the tractions are continuous across the interface but the displacement jump is proportional to the stress acting on the interface. For torsional waves, this requires the introduction of a single constant ...

Wave propagation in elastic tubes

Viscothermal Wave Propagation including Acousto-elastic Interaction, Part I: Theory

This research deals with pressure waves in a gas trapped in thin layers or narrow tubes. In these cases viscous and thermal e!ects can have a signi"cant e!ect on the propagation of waves. This so-called viscothermal wave propagation is governed by a number of dimensionless parameters. The two most important parameters are the shear wave number and the reduced frequency. These parameters were us...