Work

Wave dispersion relations in peridynamics: Influence of kernels and similarities to nonlocal elasticity theories

Year: 2025

Type: article

Abstract: We investigate the wave dispersion relations of an infinite elastic bar within the framework of linear bond-based peridynamics. This nonlocal integral-type model accounts for long-range interactions, which become significant at small scales and in cases of damage and fracture. Since a key element of this material model is the kernel function, we derive dispersion curves for several kernel choices. Notably, for non-singular kernels, we observe negative group velocities, indicating that peridynamics can describe materials with anomalous dispersion. By comparing one-dimensional (1D) peridynamics with the 1D nonlocal elasticity of Eringen’s type, we highlight similarities between the two models in terms of dispersion behavior.

Source: International Journal of Engineering Science

DOI: 10.1016/j.ijengsci.2025.104256

Authors: Victor A. Eremeyev, Konstantin Naumenko

Institutions: Gdańsk University of Technology, University of Cagliari, Otto-von-Guericke-Universität Magdeburg

Language: English

Topic: Numerical methods in engineering

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,980

Funders: European Commission, Deutsche Forschungsgemeinschaft, Ministero dell’Istruzione, dell’Università e della Ricerca, Ministero dell'Istruzione e del Merito