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Updated: May 22, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Published on: December 4, 2017

Wave propagation in random granular chains.

Mohith Manjunath¹, Amnaya P Awasthi, Philippe H Geubelle

¹Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 17, 2012

Summary

This summary is machine-generated.

Randomness in granular chains significantly impacts wave propagation, causing amplitude decay. Randomness in particle radius most effectively attenuates wave amplitude in the exponential decay regime.

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Published on: February 22, 2018

Area of Science:

Physics
Materials Science
Mechanical Engineering

Background:

Wave propagation in granular media is crucial for understanding material behavior under stress.
The Hertzian contact law is a standard model for elastic sphere interactions.
Quantifying the effects of disorder on wave dynamics is essential for material design.

Purpose of the Study:

To investigate the influence of randomness on wave propagation in 1D granular chains.
To quantify impulse amplitude attenuation under varying randomness levels.
To compare the impact of different randomness sources (mass, modulus, radius) on wave decay.

Main Methods:

A discrete model simulating elastic spheres with Hertzian contact.
Introduction of randomness via particle mass, Young's modulus, or radius distributions.
Application of the virial theorem to analyze energy transfer (potential to kinetic).

Main Results:

Two distinct wave amplitude decay regimes were observed: exponential and power law.
Responses were normalized to accommodate diverse material parameters and impact conditions.
Randomness in particle radius resulted in the highest decay rate in the exponential regime.

Conclusions:

Randomness significantly alters wave propagation dynamics in granular chains.
The nature and source of randomness dictate the wave attenuation characteristics.
Particle radius variability is a key factor in maximizing wave attenuation.