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

@article{Maurel2005WavePT,
  title={Wave propagation through a random array of pinned dislocations: Velocity change and attenuation in a generalized Granato and L{\"u}cke theory},
  author={Agn{\`e}s Maurel and Vincent Pagneux and Felipe Barra and Fernando Lund},
  journal={Physical Review B},
  year={2005},
  volume={72},
  pages={174111}
}
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 Luecke model [J. Appl. Phys. 27, 583 (1956)]. This is done considering the interaction of transverse (T) and longitudinal (L) elastic waves with an ensemble of dislocation segments randomly placed and randomly oriented in an elastic solid. In order to characterize the coherent wave propagation using… 

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