Elastic wave propagation through a random array of dislocations

@article{Maurel2004ElasticWP,
  title={Elastic wave propagation through a random array of dislocations},
  author={Agn{\`e}s Maurel and Jean-François Mercier and Fernando Lund},
  journal={Physical Review B},
  year={2004},
  volume={70},
  pages={024303}
}
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 dislocations. In this paper we study the coherent propagation of elastic waves through a two dimensional solid filled with randomly placed dislocations, both edge and screw, in a multiple scattering formalism. Wavelengths are supposed to be large compared to a Burgers vector and dislocation density is supposed… 

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References

SHOWING 1-10 OF 48 REFERENCES
The interaction of screw dislocations and sound waves
  • F. Nabarro
  • Physics
    Proceedings 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
Scattering and attenuation of elastic waves in random media
In seismic exploration, elastic waves are sent to investigate subsurface geology. However, the transmission and interpretation of the elastic wave propagation is complicated by various factors. One
Scattering of an elastic wave by a single dislocation
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
Dispersion of elastic waves in random particulate composites
Elastic wave propagation in a discrete random medium is studied to predict dynamic effective properties of composite materials containing spherical inclusions. A self‐consistent method is proposed
Oblique coherent waves inside and outside a randomly cracked elastic solid
Propagation of antiplane waves in an elastic solid that contains a cracked slab region is investigated. The cracks have a uniform probability density in the slab region, are parallel to the
Elastic wave propagation in a discrete random medium
SummaryThe problem of propagation of plane harmonic waves in an infinite elastic solid containing a random configuration ofN identical scatterers of finite size is considered. The paper presents the
Visualization of surface acoustic wave scattering by dislocations.
TLDR
Stroboscopic X-ray topography at the synchrotron beam line was used to visualize the propagation of a 580 MHz surface acoustic waves (SAW) in LiNbO3 crystals and revealed an exceptional contrast of the concentric rings about the dislocation line, which is caused by coherent interaction of the secondary elastic waves.
Wave attenuation and dispersion in randomly cracked solids—I. Slit cracks
Abstract Attenuation and dispersion of elastic waves in randomly cracked solids are investigated by using both the theory of Foldy and the causal approach based on Kramers-Kronig relations. In the
A multiple scattering theory for elastic wave propagation in discrete random media
A multiple scattering theory for elastic wave propagation in a discrete random medium is presented. A self‐consistent multiple scattering formalism using the T matrix of a single scatterer in
Effect of independent and coupled vibrations of dislocations on low-temperature thermal conductivity in alkali halides
Recent experimental evidence has established that the scattering of phonons by dislocations at low temperatures in [110] LiF rods is primarily a dynamic rather than a static process, but calculations
...
1
2
3
4
5
...