Elastic Waves in a Bar with Random Properties

Anisotropic transport and diffusion of elastic waves in random media

We discuss the influence of material anisotropy on the possible depolarization and diffusion of elastic waves in randomly heterogeneous media. Anisotropy is considered at two levels. The first one is related to the constitutive law of random materials, which may be handled by a random matrix theory for the elasticity tensor. The second level is related to the correlation structure of these rand...

Transport Equations for Elastic and Other Waves in Random Media

We derive and analyze transport equations for the energy density of waves of any kind in a random medium. The equations take account of nonuniformities of the background medium, scattering by random inhomogeneities, polarization e ects, coupling of di erent types of waves, etc. We also show that di usive behavior occurs on long time and distance scales and we determine the di usion coe cients. ...

Transport properties of waves in absorbing random media with microstructure.

Diffusion of waves in absorbing random media with microstructure is studied. A resonant correction to the transport mean free path lT is calculated. It is shown that in the certain range of wavelengths this correction leads to a growth of the lT compared to its nonresonant value. Significant changes in the transport velocity, the transport mean free path, and the diffusion constant caused by ab...

Modelling of nonlinear wave scattering in a delaminated elastic bar

Integrity of layered structures, extensively used in modern industry, strongly depends on the quality of their interfaces; poor adhesion or delamination can lead to a failure of the structure. Can nonlinear waves help us to control the quality of layered structures? In this paper, we numerically model the dynamics of a long longitudinal strain solitary wave in a split, symmetric layered bar. Th...

Elastic waves in helical waveguides