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Dispersive Effects in Two- and Three-Dimensional Peridynamics

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

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.

Keywords
Peridynamics Nonlocal continuum mechanics Elasticity Dispersion

Acta Applicandae Mathematicae
Volume 187, Number 13, Page 24
2023 September

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia