Coefficient of restitution for elastic disks
arXiv:cond-mat/9808258 · doi:10.1103/PhysRevE.59.2361
Abstract
We calculate the coefficient of restitution, , starting from a microscopic model of elastic disks. The theory is shown to agree with the approach of Hertz in the quasistatic limit, but predicts inelastic collisions for finite relative velocities of two approaching disks. The velocity dependence of is calculated numerically for a wide range of velocities. The coefficient of restitution furthermore depends on the elastic constants of the material via Poisson's number. The elastic vibrations absorb kinetic energy more effectively for materials with low values of the shear modulus.
25 pages, 12 Postscript figures, LaTex2e
References in corpus (2)
Cited by in corpus (20)
- Velocity distribution in granular gases of viscoelastic particles
- Propagating front in an excited granular layer
- The anomalous behavior of coefficient of normal restitution in the oblique impact
- Controlling the partial coalescence of a droplet on a vertically vibrated bath
- Simulation of cohesive head-on collisions of thermally activated nanoclusters
- Microgels at interfaces behave as 2D elastic particles featuring reentrant dynamics
- Bouncing gel balls: impact of soft gels onto rigid surface
- Coefficient of restitution for viscoelastic disks
- Drag Law of Two Dimensional Granular Fluids
- Hydrodynamics of driven granular gases
- Mesoscopic approach to granular crystal dynamics
- Simulation of cohesive fine powders under a plane shear
- Bifurcations of a driven granular system under gravity
- Effect of Elastic Vibrations on Normal Head on Collisions of Isothermal Spheres
- Simulation for the oblique impact of a lattice system
- Stationary state of a heated granular gas: fate of the usual H-functional
- Collision of One-Dimensional Nonlinear Chains
- The impact of two-dimensional elastic disk
- Contact and Quasi-Static Impact of a Dissipationless Mechanical Model
- Vibrational Effects on the Coefficient of Restitution