# Diffusion of elastic waves in a two dimensional continuum with a random distribution of screw dislocations

@article{Churochkin2016DiffusionOE, title={Diffusion of elastic waves in a two dimensional continuum with a random distribution of screw dislocations}, author={Dmitry Churochkin and Fernando Lund}, journal={arXiv: Materials Science}, year={2016} }

## 2 Citations

Diffusion of elastic waves in a continuum solid with a random array of pinned dislocations

- Physics
- 2022

The propagation of incoherent elastic energy in a three-dimensional solid due to the scattering by many, randomly placed and oriented, pinned dislocation segments, is considered in a continuum…

## References

SHOWING 1-10 OF 60 REFERENCES

Wave propagation through a random array of pinned dislocations: Velocity change and attenuation in a generalized Granato and Lücke theory

- Physics
- 2005

A quantitative theory of the elastic wave damping and velocity change due to interaction with dislocations is presented. It provides a firm theoretical basis and a generalization of the Granato and…

Elastic wave propagation through a random array of dislocations

- Physics
- 2004

A number of unsolved issues in materials physics suggest there is a need for an improved quantitative understanding of the interaction between acoustic (more generally, elastic) waves and…

The interaction of screw dislocations and sound waves

- PhysicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1951

In Part I, Peierls’s model of a dislocation is adapted to dynamical problems by taking account of the inertia of the matter which in a continuum would lie between the two sheets of atoms defining the…

Interaction between an elastic wave and a single pinned dislocation

- Physics
- 2005

Acoustic, and more generally elastic, waves in solids are damped by several mechanisms, among which dislocation motion is believed to play an important role. This is because an elastic wave interacts…

Quasi-two-dimensional transfer of elastic waves.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002

A time-dependent, quasi-two-dimensional radiative transfer equation is derived that describes the coupling of the eigenmodes of the layer (surface Rayleigh waves, shear horizontal waves, and Lamb waves) and facilitates a study of coherent backscattering near the plate surface for different sources and for different detection configurations.

Interaction between elastic waves and prismatic dislocation loops

- Materials Science
- 2009

The properties of prismatic dislocation loops, generated by radiation in metals, have remained elusive for decades, and recent advances in computational capabilities as well as transmission electron…

Scattering of an elastic wave by a single dislocation

- Physics
- 2004

The scattering amplitude for the scattering of anti-plane shear waves by screw dislocations, and of in-plane shear and acoustic waves by edge dislocations are computed within the framework of…

Elastic, Electromagnetic, and Other Waves in a Random Medium

- Mathematics
- 1964

Propagation of any type of wave in a random medium is analyzed on the assumption that the medium differs slightly from a homogeneous medium. An equation satisfied by the average wave is deduced which…