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Article Dans Une Revue Wave Motion Année : 2017

Coherent wave propagation in viscoelastic media with mode conversions and pair-correlated scatterers

Résumé

The influence of correlation between scatterers on coherent waves propagation is studied in the case of a viscoelastic medium hosting a random configuration of either spherical or cylindrical scatterers. A distinction is made between the hole correction and the additional disturbances to the pair correlation function beyond the excluded volume via a radial and concentration dependent Ursell function. The effect of the Ursell function on the effective wavenumber is shown to be of order 3 in concentration and order 2 in scattering, and the corresponding formulas generalize those of Caleap et al. (2012) for an ideal fluid host medium. The whole order 3 in concentration is calculated; its other part is of order 3 in scattering. Both parts of the order 3 in concentration are the sum of two terms, one related to mode conversions, the other not. The numerical study is performed mostly for aluminum spheres in epoxy, which is a rather illustrative situation of the different phenomena that participate to the coherent propagation. The Ursell function effect is enhanced at low frequency, while counteracted partly at higher frequency, by the other term of order 3 in concentration. The most visible effects of both terms are on the attenuation. The Ursell term related to mode conversions is larger than the one with no mode conversions included in the low frequency regime.
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Dates et versions

hal-01587197 , version 1 (13-09-2017)

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Francine Luppé, Tony Valier-Brasier, Jean-Marc Conoir, Pascal Pareige. Coherent wave propagation in viscoelastic media with mode conversions and pair-correlated scatterers. Wave Motion, 2017, 72, pp.244 - 259. ⟨10.1016/j.wavemoti.2017.03.002⟩. ⟨hal-01587197⟩
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