Impacts of poroelastic spheres

Abstract

We study experimentally the impact on rigid surfaces of different soft porous solids saturated with liquid: hydrogel balls and liquid-saturated foam balls. The static con tact of such soft solids with the substrate is well described by Hertz contact theory. However, their rebound behavior can only be explained by invoking a variety of dissipa tion mechanisms. We find that the restitution coefficient of soft porous balls generally increases with the impact velocity. We propose that this behavior can be explained by a combination of three wet dissipation mechanisms: capillary adhesion, viscous dissipa tion in a liquid film between the ball and the substrate, and poroelastic dissipation due to porous flow inside the ball. While the first two dissipations are known, we present a new theory for poroelastic dissipation, and show that it allows experimental data for saturated foam balls to be reduced to a master curve against a suitably normalized impact velocity. The understanding of this dissipation mechanism with its dependence on both permeability of the porous solid and liquid viscosity can open the way towards engineering a new generation of shock absorbers and cushions.