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Reverberation of flexural waves scattered by a local heterogeneity in a plate
Hossep Achdjian1, Emmanuel Moulin1, Farouk Benmeddour1
1Institut d'Electronique, Microélectronique et Nanotechnologies (IEMN), Unité Mixte de Recherche, CNRS 8520, Université de Valenciennes et du Hainaut-Cambrésis, F-59313 Valenciennes cedex 9, France.
Abstract:
A statistical model is proposed to relate the scattering properties of a local heterogeneity in a plate to the statistical properties of scattered and reverberated flexural waves. The contribution of the heterogeneity is isolated through the computation of differential signals consisting of a subtraction of the signals recorded after and before introduction of the heterogeneity. The theoretical expression of the average reverberation envelope of these differential signals is obtained as a function of the scattering cross-section of the heterogeneity. Successful numerical and experimental validations in various cases of canonical heterogeneities with known scattering cross-sections are shown. These satisfying results offer a way to estimate the scattering cross-section of an unknown scatterer from the reverberated differential signals.
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