Model for Dissipative Highly Nonlinear Waves in Dry Granular Systems

TL;DR

This paper introduces a comprehensive model for highly nonlinear, dissipative waves in dry granular media, incorporating Hertzian, viscoelastic, and velocity-squared damping effects, validated through experiments across various materials.

Contribution

The model uniquely combines multiple dissipative effects and demonstrates excellent agreement with experimental data in dry granular systems.

Findings

Model accurately predicts wave behavior in granular media.

Good quantitative match with experimental results.

Applicable to various granular materials.

Abstract

A model is presented for the characterization of dissipative effects on highly nonlinear waves in one-dimensional dry granular media. The model includes three terms: Hertzian, viscoelastic, and a term proportional to the square of the relative velocity of particles. The model outcomes are confronted with different experiments where the granular system is subject to several constraints for different materials. Excellent qualitative and quantitative agreement between theory and experiments is found.