Wave dispersion and propagation in a linear peridynamic solid

Wave dispersion and propagation in a linear peridynamic solid Peridynamics is a nonlocal continuum model which offers benefits over classical continuum models when there are discontinuities, such as cracks, present in the deformation field. However, the nonlocal characteristics of peridynamics leads to a dispersive dynamic response of the medium. In this study, we focus on the dispersion properties of a one‐dimensional state‐based linearized peridynamics model and investigate the effect of different peridynamic parameters on the dispersion relation. Furthermore, a physical interpretation of the peridynamic horizon is discussed and its relation to the experimental dispersion data is presented. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings in Applied Mathematics & Mechanics Wiley

Wave dispersion and propagation in a linear peridynamic solid

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Publisher
Wiley
Copyright
Copyright © 2017 Wiley Subscription Services
ISSN
1617-7061
eISSN
1617-7061
D.O.I.
10.1002/pamm.201710174
Publisher site
See Article on Publisher Site

Abstract

Peridynamics is a nonlocal continuum model which offers benefits over classical continuum models when there are discontinuities, such as cracks, present in the deformation field. However, the nonlocal characteristics of peridynamics leads to a dispersive dynamic response of the medium. In this study, we focus on the dispersion properties of a one‐dimensional state‐based linearized peridynamics model and investigate the effect of different peridynamic parameters on the dispersion relation. Furthermore, a physical interpretation of the peridynamic horizon is discussed and its relation to the experimental dispersion data is presented. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal

Proceedings in Applied Mathematics & MechanicsWiley

Published: Jan 1, 2017

References

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