Dispersive effects in two- and three-dimensional peridynamics
Alessandro Coclite, Giuseppe Maria Coclite, Giuseppe Fanizza,, Francesco Maddalena
TL;DR
This paper investigates how nonlocal interactions in peridynamics influence wave dispersion in 2D and 3D, analyzing frequency regimes and providing numerical insights into wave propagation behaviors.
Contribution
It offers a detailed analysis of dispersive properties in peridynamics models across different dimensions and frequency regimes, including numerical studies.
Findings
Dispersive effects vary with frequency and dimension.
Nonlocal interactions significantly influence wave propagation.
Numerical results illustrate dispersion characteristics.
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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Taxonomy
TopicsNumerical methods in engineering · Electromagnetic Simulation and Numerical Methods · Geotechnical Engineering and Underground Structures