Dispersive Effects in Two- and Three-Dimensional Peridynamics

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2023-09-29 DOI:10.1007/s10440-023-00606-1

A. Coclite, G. M. Coclite, G. Fanizza, F. Maddalena

引用次数: 1

Abstract

In this paper we study the dispersive properties related to a model of peridynamic evolution, governed by a non local initial value problem, in the cases of two and three spatial dimensions. The features of the wave propagation characterized by the nontrivial interactions between nonlocality and the regimes of low and high frequencies are studied and suitable numerical investigations are exposed.

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二维和三维周动力学中的色散效应

在本文中，我们研究了在二维和三维空间维度的情况下，由非局部初值问题控制的周动力学演化模型的色散性质。研究了以非局部性与低频和高频区域之间的非平凡相互作用为特征的波传播特征，并给出了合适的数值研究结果。

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

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.