Kinetics of Failure in an Elastic Peridynamic Material

Silling, S. A.

doi:10.1007/s42102-020-00031-0

Kinetics of Failure in an Elastic Peridynamic Material

Journal Article · Sat May 23 00:00:00 EDT 2020 · Journal of Peridynamics and Nonlocal Modeling

DOI:https://doi.org/10.1007/s42102-020-00031-0· OSTI ID:1760434

Silling, S. A. ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

The dynamic behavior of an elastic peridynamic material with a nonconvex bond potential is studied. In spite of the material’s inherently unstable nature, initial value problems can be solved using essentially the same techniques as with conventional materials, both analytically and numerically. In a suitably constructed material model, small perturbations grow exponentially over time until the material fails. Additionally, the time for this growth is computed explicitly for a stretching bar that passes from the stable to the unstable phase of the material model. This time to failure represents an incubation time for the nucleation of a crack. The finiteness of the failure time in effect creates a rate dependence in the failure properties of the material. Thus, the unstable nature of the elastic material leads to a rate effect even though it does not contain any terms that explicitly include a strain rate dependence.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC04-94AL85000; NA0003525

OSTI ID:: 1760434

Report Number(s):: SAND--2020-14168J; 693071

Journal Information:: Journal of Peridynamics and Nonlocal Modeling, Journal Name: Journal of Peridynamics and Nonlocal Modeling Journal Issue: 1 Vol. 3; ISSN 2522-896X

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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36 MATERIALS SCIENCE
crack nucleation
elastic
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peridynamic
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Kinetics of Failure in an Elastic Peridynamic Material

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