Two Approaches to Quantification of Force Networks in Particulate Systems
Publication: Journal of Engineering Mechanics
Volume 147, Issue 11
Abstract
The interactions between particles in dense particulate systems are organized in force networks, mesoscale features that influence the macroscopic response to applied stresses. The detailed structure of these networks is, however, difficult to extract from experiments that cannot resolve individual contact forces. In this study, we showed that certain persistent homology (PH) measures extracted from data accessible to experiment are strongly correlated with the same features extracted from the full contact force network. We performed simulations known to accurately model experiments on an intruder being pushed through a two-dimensional (2D) granular layer and compared PH properties of full contact force networks and networks constructed using only the sum of the normal forces on each grain. We found that the main features were highly correlated, suggesting that data commonly available in experiments are sufficient for quantifying the structure of force networks in evolving granular systems.
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Data Availability Statement
All the data used in this study are available from the authors upon request.
Acknowledgments
This study was supported by US Army Research Office Grant No. W911NF1810184. Authors L. A. P. and C. M. C. acknowledge support from Universidad Tecnológica Nacional through Grant Nos. PID-MAUTNLP0004415 and PID-MAIFIBA0004434TC and from Consejo Nacional de Investigaciones Científicas y Técnicas (Argentina) (CONICET) through Grant Nos. RES-1225-17 and PUE 2018 229 20180100010 CO.
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Published In
Journal of Engineering Mechanics
Volume 147 • Issue 11 • November 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Feb 23, 2021
Accepted: Jun 26, 2021
Published online: Sep 11, 2021
Published in print: Nov 1, 2021
Discussion open until: Feb 11, 2022
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