Wave motions in some composite and layered media

Abstract

Fluid‐ and structure‐borne waves are governed by the balance between elastic and inertia forces embodied, respectively, in the compliance and density of the wave‐bearing medium. This paper is concerned with a class of composite and layered media where compliance is dominated by one medium and density by another. Examples of this situation are: flexible conduits containing a liquid, e.g., blood vessels; bubble swarms; porous elastic solids with Poisson's ratios in excess of one‐third; compliant layers in contact with a liquid, e.g., sedimentary ocean bottom containing gas bubbles or a compliantly coated structure immersed in a liquid.