English

Dispersive effects in two- and three-dimensional peridynamics

Analysis of PDEs 2023-03-21 v1 Mathematical Physics math.MP

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

Cite

@article{arxiv.2303.11211,
  title  = {Dispersive effects in two- and three-dimensional peridynamics},
  author = {Alessandro Coclite and Giuseppe Maria Coclite and Giuseppe Fanizza and Francesco Maddalena},
  journal= {arXiv preprint arXiv:2303.11211},
  year   = {2023}
}

Comments

24 pages, 6 Figures

R2 v1 2026-06-28T09:24:27.167Z