Abstract
A number of phenomena, related to plastic deformation, the brittle to ductile transition in materials, and continuous melting, are intimetely related to dislocation behaviour. Yet, the amount of quantitative experimental information on the physics of dislocations is surprisingly small. It is proposed that acoustic waves may be used as an effective non intrusive probe of the properties of dislocations. To this end, a precise understanding of the wave-dislocation interaction must be achieved. A formalism is derived, and, in two dimensions, an expression for the scattering amplitude of an anti-plane shear wave by a screw dislocation is worked out, as are expressions for the effective wave velocity and attenuation length for the coherent portion of the same wave, travelling through a random array of screw dislocations, using a multiple scattering formalism.
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Maurel, A., Mercier, JF., Lund, F. (2004). Propagation of acoustic waves in elastic materials with randomly distributed dislocations. In: Descalzi, O., Martínez, J., Rica, S. (eds) Instabilities and Nonequilibrium Structures IX. Nonlinear Phenomena and Complex Systems, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0991-1_13
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DOI: https://doi.org/10.1007/978-94-007-0991-1_13
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