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Updated: Nov 8, 2025

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Fast and slow effective waves across dilute random distributions of elastic spheres in a poroelastic medium
Adjovi Kuagbenu1, Hervé Franklin1, Amah Séna d'Almeida2
1Laboratoire Ondes et Milieux Complexes (LOMC) UMR CNRS 6294, Université Le Havre Normandie, 75 rue Bellot, Le Havre, France.
Abstract:
A dilute random distribution of identical elastic spheres in a poroelastic isotropic matrix obeying Biot's theory is considered. Using Luppe, Conoir and Norris (LCN) multiple scattering formula up to the corrective second order term in concentration, approximations are sought in the low frequency domain (Rayleigh limit) for the fast and slow effective wavenumbers. The contribution of the corrective second order term - which contains the coupling (i.e. mode conversions) between the fast, slow and shear waves and accounts for multiple scattering - is discussed. Considering the fast and slow wavenumbers, some effective quantities (bulk modulus, mass density and diffusion coefficient) are estimated.
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