Critical Scaling of Solid Fragmentation at Quasistatic and Finite Strain Rates

Clemmer, Joel T.; Robbins, Mark O.

doi:10.1103/physrevlett.129.078002

Critical Scaling of Solid Fragmentation at Quasistatic and Finite Strain Rates

Journal Article · Thu Aug 11 00:00:00 EDT 2022 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.129.078002· OSTI ID:1887396

^[1]; Robbins, Mark O. ^[2]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Johns Hopkins Univ., Baltimore, MD (United States)

Here, using two-dimensional simulations of sheared, brittle solids, we characterize the resulting fragmentation and explore its underlying critical nature. Under quasistatic loading, a power-law distribution of fragment masses emerges after fracture which grows with increasing strain. With increasing strain rate, the maximum size of a grain decreases and a shallower distribution is produced. We propose a scaling theory for distributions based on a fractal scaling of the largest mass with system size in the quasistatic limit or with a correlation length that diverges as a power of rate in the finite-rate limit. Critical exponents are measured using finite-size scaling techniques.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); US Army Research Laboratory (USARL)

Grant/Contract Number:: NA0003525

OSTI ID:: 1887396

Alternate ID(s):: OSTI ID: 1881051

Report Number(s):: SAND2022-11245J; 709281

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 7 Vol. 129; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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