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A Short Note on Modeling Damage in Peridynamics

Abstract

We extend the peridynamic model to inherit irreversible damage. The governing equation is both nonlocal in time and in space and yields an abstract differential equation of Volterra type. We present conditions under which unique global solutions exist.

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Acknowledgements

The authors would like to thank Robert Lipton for all the valuable discussions.

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Correspondence to Etienne Emmrich.

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Emmrich, E., Puhst, D. A Short Note on Modeling Damage in Peridynamics. J Elast 123, 245–252 (2016). https://doi.org/10.1007/s10659-015-9550-5

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Keywords

  • Nonlocal continuum mechanics
  • Nonlinear models
  • Peridynamics
  • Damage
  • Existence

Mathematics Subject Classification (2010)

  • 35Q74
  • 74B20
  • 74H20