Collision of Viscoelastic Spheres: Compact Expressions for the Coefficient of Normal Restitution

Abstract

The coefficient of restitution of colliding viscoelastic spheres is analytically known as a complete series expansion in terms of the impact velocity where all (infinitely many) coefficients are known. While beeing analytically exact, this result is not suitable for applications in efficient event-driven Molecular Dynamics (eMD) or Monte Carlo (MC) simulations. Based on the analytic result, here we derive expressions for the coefficient of restitution which allow for an application in efficient eMD and MC simulations of granular Systems.

4 pages, 4 figures

References in corpus (1)

• Coefficient of Restitution for Viscoelastic Spheres: The Effect of Delayed Recovery

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• The Bouc-Wen Model for Binary Direct Collinear Collisions of Convex Viscoplastic Bodies
• On the planar impact of a disc and a square particle considering the impact angle and particle orientation