Contact of Viscoelastic Spheres
Thomas Schwager, Thorsten Poeschel
TL;DR
This paper discusses the contact mechanics of viscoelastic spheres, deriving an implicit contact equation and showing that the restitution coefficient varies with impact velocity as g^{1/5}.
Contribution
It introduces an implicit contact equation for viscoelastic spheres and reveals the velocity dependence of the restitution coefficient.
Findings
Coefficient of restitution depends on impact velocity as g^{1/5}
Derived an implicit contact equation for viscoelastic spheres
Confirmed the velocity dependence through integration
Abstract
In a recent paper an implicit equation for contacting viscoelastic spheres was derived (Brilliantov et al. PRE 53, 5382 (1996)). Integrating this equation it can be shown that the coefficient of normal restitution depends on the impact velocity as 1-\epsilon\sim g^{1/5}.
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Taxonomy
TopicsAdhesion, Friction, and Surface Interactions · Tribology and Wear Analysis · Mechanical stress and fatigue analysis