journal article·2026-01-08Open access

Hybrid Modeling of Wave Propagation in a 1D Bar: Integrating Peridynamics and Finite Element Methods for Enhanced Dynamic Analysis

Laxman Khanal, Mijia Yang, Evan J. Pineda

Applied Sciences· Volume 16· Issue 2

Abstract

This study analyzes a hybrid computational framework that combines peridynamics (PD) and the finite element (FE) method to model wave propagation in a one-dimensional bar, focusing on their integration for enhanced accuracy and efficiency. The analysis investigates PD’s ability to capture non-local interactions in regions near loading points, with computationally efficient coarse discretization in other areas through finite element methods. The dynamic response to symmetric and asymmetric axial loading, including loading and unloading phases, is analyzed through time-dependent external forces, solving displacement, velocity, and acceleration fields at each time step. The effects of PD-specific parameters, such as the horizon size, and the FE–PD node spacing size ratios on the performance of the hybrid model in wave propagation are investigated. Additionally, the study examines the von Neumann stability for PD to ensure stability and reliability, offering a robust framework for integrating PD and FE in dynamic analyses.
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Research context

OpenAlex topics: Numerical methods in engineering · Electromagnetic Simulation and Numerical Methods · Acoustic Wave Phenomena Research

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Civil, Construction and Environmental Engineering, North Dakota State University, Fargo, ND 58104, USA

NASA Glenn Research Center, Cleveland, OH 44135, USA

Funding

National Aeronautics and Space Administration

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