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

Victor Eremeev; Konstantin Naumenko

doi:10.1016/j.ijengsci.2025.104256

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

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.

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Authors (2)

Victor Eremeev prof. dr hab.
Konstantin Naumenko Dr.

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DOI:: Digital Object Identifier (open in new tab) 10.1016/j.ijengsci.2025.104256
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Articles

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artykuły w czasopismach

Published in:

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE no. 211,
ISSN: 0020-7225

Language:

English

Publication year:

2025

Bibliographic description:

Eremeev V., Naumenko K.: Wave dispersion relations in peridynamics: Influence of kernels and similarities to nonlocal elasticity theories// INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE -,iss. 104256 (2025), s.1-7

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