Wave motions in unbounded poroelastic solids infused with compressible fluids

TL;DR

This paper develops a two-scale constitutive theory for wave propagation in unbounded poroelastic solids infused with compressible fluids, analyzing how material parameters influence wave speeds in such media.

Contribution

It introduces a novel two-scale constitutive model for poroelastic solids with compressible fluids and examines wave propagation characteristics in these materials.

Findings

Wave speeds depend on constitutive parameters.

Longitudinal and transverse wave behaviors are characterized.

Effects of fluid compressibility on wave propagation are discussed.

Abstract

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.