Peridynamic simulation of elastic wave propagation by applying the boundary conditions with the surface node method

Peridynamic simulation of elastic wave propagation by applying the boundary conditions with the surface node method

Francesco Scabbia, Mirco Zaccariotto, Ugo Galvanetto, Florin Bobaru

Abstract. Peridynamics is a novel nonlocal theory able to deal with discontinuities, such as crack initiation and propagation. Near the boundaries, due to the incomplete nonlocal region, the peridynamic surface effect is present, and its reduction relies on using a very small horizon, which ends up being expensive computationally. Furthermore, the imposition of nonlocal boundary conditions in a local way is often required. The surface node method has been proposed to solve both the aforementioned issues, providing enhanced accuracy near the boundaries of the body. This method has been verified in the cases of quasi-static elastic problems and diffusion problems evolving over time, but it has never been applied to a elastodynamic problems. In this work, we show the capabilities of the surface node method to solve a peridynamic problem of elastic wave propagation in a homogeneous body. The numerical results converge to the corresponding peridynamic analytical solution under grid refinement and exhibit no unphysical fluctuations near the boundaries throughout the whole timespan of the simulation.

Keywords
Peridynamics, Wave Propagation, Surface Node Method, Surface Effect, Nonlocal Boundary Conditions

Published online 9/1/2023, 8 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Francesco Scabbia, Mirco Zaccariotto, Ugo Galvanetto, Florin Bobaru, Peridynamic simulation of elastic wave propagation by applying the boundary conditions with the surface node method, Materials Research Proceedings, Vol. 33, pp 347-354, 2023

DOI: https://doi.org/10.21741/9781644902677-51

The article was published as article 51 of the book Aerospace Science and Engineering

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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