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Coefficient of restitution of colliding viscoelastic spheres

Rosa Ramirez·Thorsten Poeschel·Nikolai V. Brilliantov·Thomas Schwager
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Abstract

We perform a dimension analysis for colliding viscoelastic spheres to show that the coefficient of normal restitution $ε$ depends on the impact velocity g as ε=1-γ_1g^{1/5}+γ_2g^{2/5}\mp..., in accordance with recent findings. We develop a simple theory to find explicit expressions for coefficients γ_1 and γ_2. Using these and few next expansion coefficients for ε(g) we construct a Padé-approximation for this function which may be used for a wide range of impact velocities where the concept of the viscoelastic collision is valid. The obtained expression reproduces quite accurately the existing experimental dependence ε(g) for ice particles.

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Rosa Ramirez, Thorsten Poeschel, Nikolai V. Brilliantov, Thomas Schwager. 1999-05-26. Coefficient of restitution of colliding viscoelastic spheres. https://doi.org/10.1103/physreve.60.4465

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