Energy dissipation of a particle colliding on a flat surface

Fabricio Éric Fernández,María Alejandra Aguirre,Marcelo Fabián Piva,Román Gustavo Martino,M.A Aguirre,L.A Pugnaloni,S Luding,R Soto

doi:10.1051/epjconf/202124906007

Abstract

To gain an understanding of the factors affecting the interaction of one grain with its environment as it reaches equilibrium, we study a particle bouncing off a flat surface. The bouncing of the particle leads to dissipation that is usually characterized with t, the coefficient of restitution, defined as the ratio between the velocity component that is normal to the contact surface just before impact (Vn) and the same component, but immediately after the collision (Vn’), i.e. related to a kinetic energy corresponding to motion in the normal direction. We will show how d is affected by energy stored in other degrees of freedom and transferred to kinetic energy that leads to an increase in normal velocity after the impact Vn’, and therefore to, ɛ >1. For this purpose, the evolution of potential, translational kinetic energy and rotational kinetic energy is analysed during the whole relaxation process and just before and after each collision for two different types of particle, a disk and a faceted particle.

Highlights

This work aims to analyse energy dissipation while a grain interacts with its environment as it reaches equilibrium
This is of interest because granular systems are highly dissipative and the way they lose energy and reach equilibrium is essential to understand stability problems of granular systems, such as the triggering of avalanches and their arrest [1,2,3,4]
To analyse how values of, defined by Eq 1, are affected by the neglected rotation and possible associated effects, e.g. tangential motion, we studied the behaviour of a particle relaxing to its resting state after successively bouncing off a flat surface

Summary

Introduction

This work aims to analyse energy dissipation while a grain interacts with its environment as it reaches equilibrium. Dissipation effects due to collisions are characterized by , the so-called coefficient of restitution that depends on various factors including material properties, body geometry and impact velocity [5,6,7,8]. This coefficient is defined as the ratio between the normal component of the relative velocity, at the contact point, before and after a collision [5,6,7]. It is expected 1, where equality corresponds to the case of a perfectly elastic collision

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