# Coherent propagation and incoherent diffusion of elastic waves in a two dimensional continuum with a random distribution of edge dislocations.

@article{Churochkin2020CoherentPA, title={Coherent propagation and incoherent diffusion of elastic waves in a two dimensional continuum with a random distribution of edge dislocations.}, author={Dmitry Churochkin and Fernando Lund}, journal={arXiv: Materials Science}, year={2020} }

We study the coherent propagation and incoherent diffusion of in-plane elastic waves in a two dimensional continuum populated by many, randomly placed and oriented, edge dislocations. Because of the Peierls-Nabarro force the dislocations can oscillate around an equilibrium position with frequency $\omega_0$. The coupling between waves and dislocations is given by the Peach-Koehler force. This leads to a wave equation with an inhomogeneous term that involves a differential operator. In the…

## References

SHOWING 1-10 OF 52 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…

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

- Physics
- 2016

We study the diffusion of anti-plane elastic waves in a two dimensional continuum by many, randomly placed, screw dislocations. Building on a previously developed theory for coherent propagation of…

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…

Multiple scattering of elastic waves by pinned dislocation segments in a continuum

- Materials Science, Physics
- 2015

Abstract The coherent propagation of elastic waves in a solid filled with a random distribution of pinned dislocation segments is studied to all orders in perturbation theory. It is shown that,…

Scattering of phonons by quantum-dislocation segments in an elastic continuum

- PhysicsPhysical Review B
- 2019

A canonical quantization procedure is applied to elastic waves interacting with pinned dislocation segments via the Peach-Koehler force. The interaction Hamiltonian, derived from an action principle…

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…

An integrated model for ultrasonic wave propagation and scattering in a polycrystalline medium with elongated hexagonal grains

- Physics
- 2012

Abstract Attenuation coefficients for longitudinal and transverse ultrasonic waves are obtained for polycrystals with elongated hexagonal grains using an integrated approach suitable in all frequency…

Interaction between elastic waves and prismatic dislocation loops

- Physics
- 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…

Propagative and diffusive regimes of acoustic damping in bulk amorphous material.

- Medicine, PhysicsPhysical review. E
- 2018

The analysis of wave-packet propagation in numerical models of amorphous silicon shows that the damped harmonic oscillator model fits of the dynamical structure factors give a good estimate of the wave packets mean free path only below the Ioffe-Regel frequency.