Dispersive effects in two- and three-dimensional peridynamics

DOI10.1007/s10440-023-00606-1zbMath1526.74006arXiv2303.11211MaRDI QIDQ6057063

Giuseppe Maria Coclite, Francesco Maddalena, Alessandro Coclite, Giuseppe Fanizza

Publication date: 25 October 2023

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.11211

zbMATH Keywords

elasticitywave propagationdispersion relationnonlocal continuum mechanicsnonlocal initial value problem

Mathematics Subject Classification ID

Waves in solid mechanics (74J99) Elastic materials (74B99) Peridynamics (74A70)

Related Items (1)

A Numerical Framework for Nonlinear Peridynamics on Two-Dimensional Manifolds Based on Implicit P-(EC)\(^{ {\boldsymbol k}}\) Schemes

Cites Work

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• Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics
• Peridynamic states and constitutive modeling
• Well-posedness of the peridynamic model with Lipschitz continuous pairwise force function
• Wellposedness of a nonlinear peridynamic model
• Dispersive effects in a scalar nonlocal wave equation inspired by peridynamics

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