Wave motions in unbounded poroelastic solids infused with compressible fluids

S. Quiligotti (1) , G.A. Maugin (1) , Francesco Dell'Isola (2, 3)

1 LMM - Laboratoire de modélisation en mécanique
2 Dipartimento di Ingegneria Strutturale e Geotecnica
3 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita

Looking at rational solid-fluid mixture theories in the context of their biomechanical perspectives, this work aims at proposing a two-scale constitutive theory of a poroelastic solid infused with an inviscid compressible fluid. The propagation of steady-state harmonic plane waves in unbounded media is investigated in both cases of unconstrained solid-fluid mixtures and fluid-saturated poroelastic solids. Relevant effects on the resulting characteristic speed of longitudinal and transverse elastic waves, due to the constitutive parameters introduced, are finally highlighted and discussed.

Domaines: Mécanique [physics.med-ph]

S. Quiligotti, G.A. Maugin, Francesco Dell'Isola. Wave motions in unbounded poroelastic solids infused with compressible fluids. Zeitschrift für Angewandte Mathematik und Physik, 2002, pp.29. ⟨hal-00502070⟩