Modelling of Longitudinal Elastic Wave Propagation in a Steel Rod Using the Discrete Element Method

Area of Science:

• Computational Mechanics
• Solid Mechanics
• Wave Propagation

Background:

• Accurate modeling of elastic wave propagation is crucial for structural health monitoring and design.
• The discrete element method (DEM) offers a promising alternative to traditional methods for complex wave phenomena.

Purpose of the Study:

• To develop and validate a novel algorithm for modeling elastic wave propagation using DEM.
• To compare DEM simulations with experimental data and finite element method (FEM) calculations.
• To determine the optimal DEM model parameters for accurate wave propagation analysis in rods.

Main Methods:

• Development of a complex DEM algorithm for wave propagation simulation.
• Creation of multiple DEM models with varying discretization and material properties.
• Comparison of DEM results with experimental data and theoretical predictions (Pochhammer-Chree theory).
• Inclusion of finite element method (FEM) calculations for comparative analysis.

Main Results:

• A novel DEM algorithm for elastic wave propagation was successfully developed.
• DEM models were systematically evaluated against experimental waveforms and theoretical dispersion curves.
• The study identified the most suitable DEM model configuration based on correlation and theoretical agreement.
• DEM simulations demonstrated strong agreement with experimental and theoretical results.

Conclusions:

• The discrete element method (DEM) is a viable and effective tool for modeling elastic wave propagation in structural rods.
• The developed DEM algorithm provides accurate predictions comparable to experimental and theoretical benchmarks.
• This research validates DEM's application in analyzing wave dynamics within structural components.