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Application of computational topology to analysis of granular material force networks in the stick-slip regime.

ORAL

Abstract

We discuss the properties of force networks in a two-dimensional annular Couette geometry for both experiments and simulations in which a small intruder is pulled by a spring. In particular, the connection between topological features of the force network and fluctuations of the intruder velocity is studied in the stick-slip regime. The force networks are analyzed using persistent homology methods, focusing on the statistics of clusters and loops composed of particles experiencing strong forces. We find that the networks evolve in a nontrivial manner as the system approaches a slip event. The presentation will discuss this evolution for systems of disks and pentagonal particles at several different packing fractions.

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Presenters

  • Rituparna Basak

    New Jersey Institute of Technology, Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, USA

Authors

  • Rituparna Basak

    New Jersey Institute of Technology, Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, USA

  • Chao Cheng

    Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, USA

  • Ryan Kozlowski

    Department of Physics, Duke University, Duke University, Department of Physics, Duke University, USA

  • C. Manuel Carlevaro

    Instituto de Física de Líquidos y Sistemas Biológicos, CONICET, Argentina and Departamento de Ingeniería Mecánica, Universidad Tecnológica Nacional, Facultad Regional La Plat, Instituto de Física de Líquidos y Sistemas Biológicos, CONICET, Argentina

  • Luis A. Pugnaloni

    Departamento de Física, Facultad Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, CONICET, Santa Rosa (La Pampa), Argentina, Departamento de Física, Universidad Nacional de La Pampa, CONICET, Argentina

  • Hu Zheng

    Department of Geotechnical Engineering, Tongji University, Tongji University, Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai, China, Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, China

  • Joshua Socolar

    Department of Physics, Duke University, Duke University, Department of Physics, Duke University, USA

  • Lou Kondic

    New Jersey Institute of Technology, Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, USA