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The role of randomly packed particles on macroscopic elastic bonded grain properties

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Abstract

Bonded discrete element method (DEM) models utilize networks of bonds between discrete particles to simulate continuum behaviors of real materials, most notably large deformations and failure which are difficult to simulate with mesh-based methods. However, the process of calibrating the bond parameters to produce specific macroscale properties remains an active area of research. Current calibration methods typically demonstrate the applicability of calibrations on the geometry they were created from. Our research utilizes an energy-based method to produce calibrations for monodisperse randomly packed bonded particles without running simulations. These calibrations are then utilized to simulate networks of bonded particles that vary from the calibration set in one of three ways: (1) number of particles; (2) aspect ratio; and (3) cross section shape. This work quantifies the standard deviation in the mean Young’s modulus and Poisson’s ratio produced by a general DEM calibration for randomly packed bonded particle specimens if the coordination number, particle diameter, shape, or aspect ratio is varied.

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Acknowledgements

The authors gratefully acknowledge helpful discussions and careful review from Joel Clemmer and Dan Bolintineanu of Sandia National Laboratories. Portions of this research were conducted with high performance research computing resources provided by Texas A &M University (https://hprc.tamu.edu). This work was partially supported by the Laboratory Directed Research and Development program at Sandia National Laboratories, a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia LLC, a wholly owned subsidiary of Honeywell International Inc. for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-NA0003525.

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  1. J. Mike Walker ’66 Department of Mechanical Engineering, Texas A &M University, 3123 TAMU, College Station, TX, 77845, USA

    S. Martin

  2. J. Mike Walker ’66 Department of Mechanical Engineering Affiliated, Department of Materials Science and Engineering, Texas A &M University, College Station, TX, 77845, USA

    M. A. Cooper

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Appendix

Appendix

See Tables 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, and 17.

Table 3 \({E_M}\) and \({\nu _M}\) of circular cross section with FCC particle arrangement, 0.25 scaled length units particle diameter, 6.13 scaled length units high, 4.23 scaled length units diameter, and coordination number of 12.0
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Table 4 \(\overline{E_M}\), \(\overline{\nu _M}\), \(E_\varSigma \), and \(\nu _\varSigma \) of circular cross section with 0.25 scaled length units particle diameter, 6.25 scaled length units high, 4.23 scaled length units diameter, and coordination number of 6.2
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Table 5 \(\overline{E_M}\), \(\overline{\nu _M}\), \(E_\varSigma \), and \(\nu _\varSigma \) of circular cross sections with 0.25 scaled length units particle diameter, 6.25 scaled length units high, 4.23 scaled length units diameter, and coordination number of 9.0
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Table 6 \(\overline{E_M}\), \(\overline{\nu _M}\), \(E_\varSigma \), and \(\nu _\varSigma \) of circular cross sections with 0.25 scaled length units particle diameter, 6.25 scaled length units high, 4.23 scaled length units diameter, and coordination number of 12.0
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Table 7 \(\overline{E_M}\), \(\overline{\nu _M}\), \(E_\varSigma \), and \(\nu _\varSigma \) of circular cross sections with 0.20 scaled length units particle diameter, 6.25 scaled length units high, 4.23 scaled length units diameter, and coordination number of 6.2
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Table 8 \(\overline{E_M}\), \(\overline{\nu _M}\), \(E_\varSigma \), and \(\nu _\varSigma \) of circular cross sections with 0.15 scaled length units particle diameter, 6.25 scaled length units high, 4.23 scaled length units diameter, and coordination number of 6.2
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Table 9 \(\overline{E_M}\), \(\overline{\nu _M}\), \(E_\varSigma \), and \(\nu _\varSigma \) of square cross sections with 0.25 scaled length units particle diameter, 6.25 scaled length units high, 3.75 scaled length units width, and coordination number of 6.2
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Table 10 \(\overline{E_M}\), \(\overline{\nu _M}\), \(E_\varSigma \), and \(\nu _\varSigma \) of circular cross sections with 0.25 scaled length units particle diameter, 9.38 scaled length units high, 3.45 scaled length units diameter, and coordination number of 6.2
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Table 11 \(\overline{E_M}\), \(\overline{\nu _M}\), \(E_\varSigma \), and \(\nu _\varSigma \) of circular cross sections with 0.25 scaled length units particle diameter, 12.5 scaled length units high, 2.99 scaled length units diameter, and coordination number of 6.2
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Table 12 \(\overline{E_M}\), \(\overline{\nu _M}\), \(E_\varSigma \), and \(\nu _\varSigma \) of circular cross sections with 0.20 scaled length units particle diameter, 9.38 scaled length units high, 3.45 scaled length units diameter, and coordination number of 6.2
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Table 13 \(\overline{E_M}\), \(\overline{\nu _M}\), \(E_\varSigma \), and \(\nu _\varSigma \) of circular cross sections with 0.20 scaled length units particle diameter, 12.5 scaled length units high, 2.99 scaled length units diameter, and coordination number of 6.2
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Table 14 \({E_M}\) and \({\nu _M}\) as \(\nu _\mu \) approaches 1/3 of circular cross section with FCC particle arrangement, 0.25 scaled length units particle diameter, 6.13 scaled length units high, 4.23 scaled length units diameter, and coordination number of 12.0
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Table 15 \(\overline{E_M}\) and \(\overline{\nu _M}\) as \(\nu _\mu \) approaches 0.25 of circular cross section with randomly packed particles, 0.25 scaled length units particle diameter, 6.25 scaled length units high, 4.23 scaled length units diameter, and coordination number of 6.2
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Table 16 \(\overline{E_M}\) and \(\overline{\nu _M}\) as \(\nu _\mu \) approaches 0.25 of circular cross section with randomly packed particles, 0.25 scaled length units particle diameter, 6.25 scaled length units high, 4.23 scaled length units diameter, and coordination number of 9.0
Full size table
Table 17 \(\overline{E_M}\) and \(\overline{\nu _M}\) as \(\nu _\mu \) approaches 0.25 of circular cross section with randomly packed particles, 0.25 scaled length units particle diameter, 6.25 scaled length units high, 4.23 scaled length units diameter, and coordination number of 12.0
Full size table

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Martin, S., Cooper, M.A. The role of randomly packed particles on macroscopic elastic bonded grain properties. Comp. Part. Mech. (2024). https://doi.org/10.1007/s40571-023-00704-9

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