Coefficient of tangential restitution for the linear dashpot model

Abstract

The linear dashpot model for the inelastic normal force between colliding spheres leads to a constant coefficient of normal restitution, ${\epsilon }_n=$const., which makes this model very popular for the investigation of dilute and moderately dense granular systems. For two frequently used models for the tangential interaction force we determine the coefficient of tangential restitution ${\epsilon }_t$, both analytically and by numerical integration of Newton's equation. Although ${\epsilon }_n=$const. for the linear-dashpot model, we obtain pronounced and characteristic dependencies of the tangential coefficient on the impact velocity ${\epsilon }_t={\epsilon }_t(\vec{g})$. The results may be used for event-driven simulations of granular systems of frictional particles.

12 pages, 12 figures

References in corpus (5)

• Coefficient of restitution of colliding viscoelastic spheres
• Geometry of Frictionless and Frictional Sphere Packings
• Coefficient of normal restitution of viscous particles and cooling rate of granular gases
• Coefficient of restitution for viscoelastic disks
• Granular packings with moving side walls

Cited by in corpus (7)

• Obstacle-shape effect in a two-dimensional granular silo flow field
• Rheological Chaos of Frictional Grains
• Collapse of inelastic hard spheres in dimension $d\ge 2$
• One-dimensional inelastic collapse of four particles: asymmetric collision sequences and spherical billiard reduction
• On the planar impact of a disc and a square particle considering the impact angle and particle orientation
• Numerical simulation of non-central collisions of spherical magnets
• Oblique Impact of Frictionless Spheres: On the Limitations of Hard Sphere Models for Granular Dynamics