The anomalous behavior of coefficient of normal restitution in the oblique impact

TL;DR

This paper investigates the unusual behavior of the coefficient of normal restitution in oblique impacts, showing it can exceed one and peak at certain angles, explained through elasticity theory.

Contribution

It introduces a lattice model simulation demonstrating the coefficient can surpass one and peaks at specific incident angles, with explanations based on elasticity theory.

Findings

Coefficient of restitution can exceed one in oblique impacts

The coefficient peaks at a certain incident angle

Phenomenological elasticity theory explains these phenomena

Abstract

The coefficient of normal restitution in an oblique impact is theoretically studied. Using a two-dimensional lattice models for an elastic disk and an elastic wall, we demonstrate that the coefficient of normal restitution can exceed one and has a peak against the incident angle in our simulation. Finally, we explain these phenomena based upon the phenomenological theory of elasticity.