A Short Note on Modeling Damage in Peridynamics
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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.
KeywordsNonlocal continuum mechanics Nonlinear models Peridynamics Damage Existence
Mathematics Subject Classification (2010)35Q74 74B20 74H20
The authors would like to thank Robert Lipton for all the valuable discussions.
- 5.Lipton, R.: Cohesive dynamics and fracture. arXiv:1411.4609v4 (2014)