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Journal of Elasticity

, Volume 123, Issue 2, pp 245–252 | Cite as

A Short Note on Modeling Damage in Peridynamics

  • Etienne EmmrichEmail author
  • Dimitri Puhst
Research Note

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.

Keywords

Nonlocal continuum mechanics Nonlinear models Peridynamics Damage Existence 

Mathematics Subject Classification (2010)

35Q74 74B20 74H20 

Notes

Acknowledgements

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

References

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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Technische Universität BerlinBerlinGermany

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