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DOI of the published article https://doi.org/10.1007/s42102-019-00021-x
Preprint / Version 2

Bond-based peridynamics: A tale of two Poisson's ratios

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DOI:

https://doi.org/10.31224/osf.io/sev3c

Keywords:

bond-based peridynamics, Cauchy's relations, plane strain, plane stress

Abstract

This paper explores the restrictions imposed by bond-based peridynamics, particularly with respect to plane strain and plane stress models. We begin with a review of the derivations in [2] wherein for isotropic materials a Poisson's ratio restriction of 1/4 for plane strain and 1/3 for plane stress is deduced. Next, we show Cauchy's relations are an intrinsic limitation of bond-based peridynamics and specialize this result to plane strain and plane stress models, generalizing the results of [2] and demonstrating the Poisson's ratio restrictions in [2] are simply a consequence of Cauchy's relations. We conclude with a discussion of the validity of peridynamic plane strain and plane stress models formulated from two-dimensional bond-based peridynamic models.

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Posted

2019-06-04 — Updated on 2019-06-04

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