Peridynamic Models for Random Media Found by Coarse Graining

Silling, Stewart A.; Jafarzadeh, Siavash; Yu, Yue

doi:10.1007/s42102-024-00118-y

Title: Peridynamic Models for Random Media Found by Coarse Graining

Journal Article · 17 March 2024 · Journal of Peridynamics and Nonlocal Modeling

DOI: https://doi.org/10.1007/s42102-024-00118-y · OSTI ID:2530854

Silling, Stewart A. ^[1]; Jafarzadeh, Siavash ^[2]; Yu, Yue ^[2]

Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Lehigh University, Bethlehem, PA (United States)

Using coarse graining, the upscaled mechanical properties of a solid with small scale heterogeneities are derived. The method maps internal forces at the small scale onto peridynamic bond forces in the coarse grained mesh. These upscaled bond forces are used to calibrate a peridynamic material model with position-dependent parameters. These parameters incorporate mesoscale variations in the statistics of the small scale system. The upscaled peridynamic model can have a much coarser discretization than the original small scale model, allowing larger scale simulations to be performed efficiently. The convergence properties of the method are investigated for representative random microstructures. In conclusion, a bond breakage criterion for the upscaled peridynamic material model is also demonstrated.

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 2530854

Report Number(s):: SAND--2025-03032J

Journal Information:: Journal of Peridynamics and Nonlocal Modeling, Journal Name: Journal of Peridynamics and Nonlocal Modeling Journal Issue: 4 Vol. 6; ISSN 2522-896X

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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