Wave dispersion and propagation in a linear peridynamic solid | Zendy

Butt Sahir N. | Zendy; Meschke Günther | Zendy

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Wave dispersion and propagation in a linear peridynamic solid

Author(s) -

Butt Sahir N.,

Meschke Günther

Publication year - 2017

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201710174

Subject(s) - peridynamics , classification of discontinuities , continuum mechanics , dispersion (optics) , dispersion relation , mechanics , physics , field (mathematics) , materials science , classical mechanics , mathematical analysis , mathematics , optics , pure mathematics

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)

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