Two approaches to quantification of force networks in particulate systems

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.Fil: Basak, Rituparna. New Jersey Institute of Technology; Estados UnidosFil: Carlevaro, Carlos Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Universidad Tecnológica Nacional. Facultad Regional La Plata. Departamento de Ingeniería Mecánica; ArgentinaFil: Kozlowski, Ryan. University of Duke; Estados UnidosFil: Cheng, Chao. New Jersey Institute of Technology; Estados UnidosFil: Pugnaloni, Luis Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Confluencia; Argentina. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Kramár, Miroslav. Oklahoma State University; Estados UnidosFil: Zheng, Hu. Tongji University. College of Civil Engineering. Deparment of Geotechnical Engineering; ChinaFil: Socolar, Joshua E. S.. University of Duke; Estados UnidosFil: Kondic, Lou. New Jersey Institute of Technology; Estados Unido