Quantifying the hierarchy of structural and mechanical length scales in granular systems

Shahin, Ghassan; Herbold, Eric B.; Hall, Stephen A.; Hurley, Ryan C.

doi:10.1016/j.eml.2021.101590

Title: Quantifying the hierarchy of structural and mechanical length scales in granular systems

Journal Article · 17 December 2021 · Extreme Mechanics Letters

DOI: https://doi.org/10.1016/j.eml.2021.101590 · OSTI ID:1874114

^[1]; Herbold, Eric B. ^[2];

^[3];

^[4]

Johns Hopkins Univ., Baltimore, MD (United States). Hopkins Extreme Materials Inst.
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Lund Univ. (Sweden); Lund Univ. (Sweden). Lund Inst. of Advanced Neutron and X-ray Science
Johns Hopkins Univ., Baltimore, MD (United States). Hopkins Extreme Materials Inst.; Johns Hopkins Univ., Baltimore, MD (United States)

Continuum modeling of granular media is made possible by the existence of a length scale at and above which grain-resolved properties can be meaningfully homogenized. Progress has been made in identifying such length scales relevant to local structural properties such as porosity. However, a systematic analysis of scales above which different mechanical properties can be homogenized has yet to emerge. Here, X-ray tomography and 3D X-ray diffraction data are examined to identify such length scales. The data was obtained in-situ in compressed granular materials with rigid and flexible confinement. The experimental data are supplemented with validated discrete element simulations which examine different system sizes and different boundary conditions. Overall, our study reveals a hierarchy in the length scales of granular solids, with lengths governing structural variables being the shortest, lengths of stress variables being intermediate, and lengths of energy dissipation being the longest. All structural and mechanical length scales obey a power law based on the theory of Geostatistics, implying that the length scales can be found by analyzing samples significantly smaller than the length scales themselves. The length scales are also found to be sensitive to boundary conditions, implying that they are extrinsic features of granular media.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1874114

Report Number(s):: LLNL-JRNL-836386; 1055783

Journal Information:: Extreme Mechanics Letters, Journal Name: Extreme Mechanics Letters Journal Issue: N/A Vol. 51; ISSN 2352-4316

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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36 MATERIALS SCIENCE
58 GEOSCIENCES
granular materials
micromechanics
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theory of geostatics
x-ray diffraction
x-ray tomography

Title: Quantifying the hierarchy of structural and mechanical length scales in granular systems

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