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Surface corrections for peridynamic models in elasticity and fracture

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Abstract

Peridynamic models are derived by assuming that a material point is located in the bulk. Near a surface or boundary, material points do not have a full non-local neighborhood. This leads to effective material properties near the surface of a peridynamic model to be slightly different from those in the bulk. A number of methods/algorithms have been proposed recently for correcting this peridynamic surface effect. In this study, we investigate the efficacy and computational cost of peridynamic surface correction methods for elasticity and fracture. We provide practical suggestions for reducing the peridynamic surface effect.

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Notes

  1. The r-ratio is called the m-ratio in the literature [9]; however, here we had to rename it because of the conflict with the weighted volume function m in Eq. (6).

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Acknowledgements

This work has been supported by AFOSR MURI Center for Materials Failure Prediction through Peridynamics (program managers Drs. Jaimie Tiley, David Stargel, Ali Sayir, and Fariba Fahroo) and ONR grant (program manager William Nickerson).

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  1. University of Nebraska-Lincoln, Lincoln, NE, USA

    Q. V. Le & F. Bobaru

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  1. Q. V. Le
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  2. F. Bobaru
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Correspondence to F. Bobaru.

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Le, Q.V., Bobaru, F. Surface corrections for peridynamic models in elasticity and fracture. Comput Mech 61, 499–518 (2018). https://doi.org/10.1007/s00466-017-1469-1

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