TY - JOUR
T1 - Characterizing granular networks using topological metrics
AU - Dijksman, Joshua A.
AU - Kovalcinova, Lenka
AU - Ren, Jie
AU - Behringer, Robert P.
AU - Kramar, Miroslav
AU - Mischaikow, Konstantin
AU - Kondic, Lou
N1 - Funding Information:
This work was partially supported by NSF Grants No. DMS-0835621, No. DMS-0835611, No. DMS-0915019, No. DMS-1125174, No. DMR-12063251, No. DMS1248071, and No. DMS-1521717; AFOSR Grants No. FA9550-09-1-0148 and No. FA9550-10-1-0436; DARPA Grants No. HR0011-16-2-0033 and No. FA8750-17-C-0054; DTRA Grant No. 1-10-1-0021; NASA Grants No. NNX10AU01G and No. NNX15AD38G.
Funding Information:
This work was partially supported by NSF Grants No. DMS-0835621, No. DMS-0835611, No. DMS-0915019, No. DMS-1125174, No. DMR-12063251, No. DMS1248071, and No. DMS-1521717; AFOSR Grants No. FA9550-09-1-0148 and No. FA9550-10-1-0436; DARPA Grants No. HR0011-16-2-0033 and No. FA8750-17-C-0054; DTRA Grant No. 1-10-1-0021; NASA Grants No. NNX10AU01G and No. NNX15AD38G. J.A.D. and L.K. contributed equally to this work. APPENDIX A:
Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/4/18
Y1 - 2018/4/18
N2 - We carry out a direct comparison of experimental and numerical realizations of the exact same granular system as it undergoes shear jamming. We adjust the numerical methods used to optimally represent the experimental settings and outcomes up to microscopic contact force dynamics. Measures presented here range from microscopic through mesoscopic to systemwide characteristics of the system. Topological properties of the mesoscopic force networks provide a key link between microscales and macroscales. We report two main findings: (1) The number of particles in the packing that have at least two contacts is a good predictor for the mechanical state of the system, regardless of strain history and packing density. All measures explored in both experiments and numerics, including stress-tensor-derived measures and contact numbers depend in a universal manner on the fraction of nonrattler particles, fNR. (2) The force network topology also tends to show this universality, yet the shape of the master curve depends much more on the details of the numerical simulations. In particular we show that adding force noise to the numerical data set can significantly alter the topological features in the data. We conclude that both fNR and topological metrics are useful measures to consider when quantifying the state of a granular system.
AB - We carry out a direct comparison of experimental and numerical realizations of the exact same granular system as it undergoes shear jamming. We adjust the numerical methods used to optimally represent the experimental settings and outcomes up to microscopic contact force dynamics. Measures presented here range from microscopic through mesoscopic to systemwide characteristics of the system. Topological properties of the mesoscopic force networks provide a key link between microscales and macroscales. We report two main findings: (1) The number of particles in the packing that have at least two contacts is a good predictor for the mechanical state of the system, regardless of strain history and packing density. All measures explored in both experiments and numerics, including stress-tensor-derived measures and contact numbers depend in a universal manner on the fraction of nonrattler particles, fNR. (2) The force network topology also tends to show this universality, yet the shape of the master curve depends much more on the details of the numerical simulations. In particular we show that adding force noise to the numerical data set can significantly alter the topological features in the data. We conclude that both fNR and topological metrics are useful measures to consider when quantifying the state of a granular system.
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U2 - 10.1103/PhysRevE.97.042903
DO - 10.1103/PhysRevE.97.042903
M3 - Article
C2 - 29758651
AN - SCOPUS:85045844266
SN - 1063-651X
VL - 97
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
M1 - 042903
ER -