Propagation of a Stress Pulse in a Heterogeneous Elastic Bar

Abstract

The propagation of a wave pulse due to low-speed impact on a one-dimensional, heterogeneous bar is studied. Due to the dispersive character of the medium, the pulse attenuates as it propagates. This attenuation is studied over propagation distances that are much longer than the size of the microstructure. A homogenized peridynamic material model can be calibrated to reproduce the attenuation and spreading of the wave. The calibration consists of matching the dispersion curve for the heterogeneous material near the limit of long wavelengths. It is demonstrated that the peridynamic method reproduces the attenuation of wave pulses predicted by an exact microstructural model over large propagation distances.

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Acknowledgments

Helpful discussions with Dr. Marta D’Elia, Prof. Yue Yu, and Mr. Huaiqian You are gratefully acknowledged. Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia LLC, a wholly owned subsidiary of Honeywell International Inc. for the US Department of Energy’s National Nuclear Security Administration under contract DE-NA0003525.

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Correspondence to Stewart A. Silling.

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The author is an Editor-in-Chief of the Journal of Peridynamics and Nonlocal Modeling. He played no part in the assignment of this manuscript to Associate Editors or peer reviewers and was separated and blinded from the editorial system from submission inception to decision.

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Silling, S.A. Propagation of a Stress Pulse in a Heterogeneous Elastic Bar. J Peridyn Nonlocal Model (2021). https://doi.org/10.1007/s42102-020-00048-5

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Keywords

  • Peridynamic
  • Material stability
  • Fracture
  • Elastic
  • Waves
  • Damage