2-D Granular Model of Composite Elasticity using Molecular Dynamics Simulation

TL;DR

This paper presents a 2D molecular dynamics simulation of composite granular materials, analyzing how grain configurations and ratios affect elasticity and Young's modulus, with results aligning with experimental data.

Contribution

It introduces a 2D granular model using molecular dynamics to study composite elasticity and explores the influence of grain ratios and configurations on elastic properties.

Findings

Maximum Young's modulus observed at specific configurations.

Elastic parameter increases monotonically with grain ratio.

Simulation results agree quantitatively with experimental data.

Abstract

Composite of two kinds of grains is modeled in two-dimension and the elasticity is calculated using molecular dynamics method implementing Gear predictor-corrector of fifth order. It has been observed that same composite concentration can be represented by several configurations of the two kinds of grains. Simulation results show a peak or maximum value of a parameter proportional to Young's modulus, which quantitatively agrees with reported experiment results. Ratio of used in simulation has influenced average value of the mentioned parameter monotonically, it is increasing as the ratio increasing.