https://hal.science/hal-03840366Luppé, FrancineFrancineLuppéLOMC - Laboratoire Ondes et Milieux Complexes - ULH - Université Le Havre Normandie - NU - Normandie Université - CNRS - Centre National de la Recherche ScientifiqueConoir, Jean-MarcJean-MarcConoirDALEMBERT - Institut Jean Le Rond d'Alembert - SU - Sorbonne Université - CNRS - Centre National de la Recherche ScientifiqueValier-Brasier, TonyTonyValier-BrasierDALEMBERT - Institut Jean Le Rond d'Alembert - SU - Sorbonne Université - CNRS - Centre National de la Recherche ScientifiqueLongitudinal and transverse coherent waves in media containing randomly distributed spheresHAL CCSD2022[PHYS.MECA.ACOU] Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]Maréchal, Pierre2022-11-09 18:39:402023-03-24 14:53:292022-11-10 07:56:09enJournal articleshttps://hal.science/hal-03840366/document10.1016/j.wavemoti.2022.103082application/pdf1Multiple scattering effects due to a random distribution of identical spheres are investigated in the general case of elastic or poroelastic host media, where both longitudinal and transverse waves may co-exist. Propagation of plane coherent waves is assumed, and their dispersion equation looked for, as well as analytic approximations of those particular solutions that are close to the wavenumbers in the free host, when the product of the concentration with the scattering cross section of the spheres is low. Under this last condition, pair-correlation effects are seen to be of second order. Numerical studies are performed under the hole correction assumption, and compared to experimental data for tungsten carbide spheres in an epoxy matrix, which is a rather illustrative situation of how longitudinal and transverse waves participate to coherent propagation.