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

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science Pub Date : 2025-03-22 DOI:10.1016/j.ijengsci.2025.104256

Victor A. Eremeyev , Konstantin Naumenko

引用次数: 0

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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周动力学中的波频散关系：核的影响及其与非局部弹性理论的相似性

在基于键的线性周动力学框架下，研究了无限弹性杆的波频散关系。这种非局部积分型模型考虑了远程相互作用，这在小尺度和损伤和断裂的情况下变得重要。由于该材料模型的一个关键元素是核函数，我们推导了几个核选择的色散曲线。值得注意的是，对于非奇异核，我们观察到负群速度，表明周动力学可以描述具有异常色散的材料。通过比较一维（1D）周期动力学和一维Eringen型非局部弹性力学，我们突出了两种模型在色散行为方面的相似性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Engineering Science 工程技术-工程：综合

CiteScore

11.80

自引率

16.70%

发文量

审稿时长

45 days

期刊介绍： The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.