# Scattering of an elastic wave by a single dislocation

@article{Maurel2004ScatteringOA, title={Scattering of an elastic wave by a single dislocation}, author={Agn{\`e}s Maurel and Jean-François Mercier and Fernando Lund}, journal={Journal of the Acoustical Society of America}, year={2004}, volume={115}, pages={2773-2780} }

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 elasticity theory. The former case reproduces well-known results obtained on the basis of an electromagnetic analogy. The latter case involves four scattering amplitudes in order to fully take into account mode conversion, and an adequately generalized optical theorem for vector waves is provided. In…

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## References

SHOWING 1-10 OF 40 REFERENCES

Scattering of a Plane Longitudinal Wave by a Spherical Fluid Obstacle in an Elastic Medium

- Mathematics
- 1960

The method of Ying and Truell for studying the scattering of longitudinal elastic waves by spherical obstacles is applied to the particular case of scattering by a fluid‐filled cavity that is…

Scattering of a Plane Transverse Wave by a Spherical Obstacle in an Elastic Medium

- Mathematics
- 1960

An analysis of the scattering of transverse elastic waves by spherical obstacles is presented. The scatterer is taken to be (a) a cavity, (b) a rigid sphere, (c) a fluid‐filled cavity, and (d) to…

Scattering of Plane Compressional Waves by a Spherical Obstacle

- Mathematics
- 1963

The scattering of plane compressional waves by a spherical obstacle in an elastic solid, which was investigated by Ying and Truell is examined further. For a rigid inclusion, the boundary conditions…

Scattering of a Plane Longitudinal Wave by a Spherical Obstacle in an Isotropically Elastic Solid

- Mathematics
- 1956

Scattering by a spherical obstacle of a plane longitudinal wave propagating in an isotropically elastic solid is computed. Expressions for the scattered wave and the total scattered energy are given.…

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…

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…

Multiple scattering of elastic waves by cylinders of arbitrary cross section. I. SH waves

- Engineering
- 1978

A scattering matrix approach, that involves only the transition matrix of a single obstacle, is proposed for studying the multiple scattering of elastic waves in a medium (matrix) containing…

Elastic Wave Scattering at a Cylindrical Discontinuity in a Solid

- Mathematics
- 1958

This study deals with the scattering of plane compressional and shear elastic waves incident obliquely on an infinitely long nondissipative cylindrical elastic discontinuity in an isotropic solid.…

Scattering of elastic waves by a fluid inclusion

- Geology, Mathematics
- 1983

The scattering of harmonic elastic waves by a bounded fluid inclusion in an infinite elastic continuum is considered. The formalism is an extension of the T‐matrix method developed for solid…