Granular response to impact: topology of the force networks

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Authors
Takahashi, T.
Clark, Abram H.
Majmudar, T.
Kondic, L.
Subjects
Granular materials
Impact
Networks
Topology
Persistent homology
Advisors
Date of Issue
2017-09-20
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Abstract
Impact of an intruder on granular matter leads to formation of mesoscopic force networks seen particularly clearly in the recent experiments carried out with photoelastic particles (Clark et al., Phys. Rev. Lett., 114 144502 (2015). These force networks are characterized by complex structure and evolve on fast time scales. While it is known that total photoelastic activity in the granular system is correlated with the acceleration of the intruder, it is not known how the structure of the force network evolves during impact, and if there is a dominant features in the networks that can be used to describe intruder's dynamics. Here, we use topological tools, in particular persistent homology, to describe these features. Persistent homology allows quantification of both structure and time evolution of the resulting force networks. We find that there is a clear correlation of the intruder's dynamics and some of the topological measures implemented. This finding allows us to discuss which properties of the force networks are most important when attempting to describe intruder's dynamics. Regarding temporal evolution of the networks, we are able to de ne the upper bound on the relevant time scale on which the networks evolve.
Type
Article
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Series/Report No
Department
Physics
Organization
Naval Postgraduate School (U.S.)
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Format
12 p.
Citation
T. Takahashi, A.H. Clark, T. Majmudar, L. Kondic, "Granular response to impact: topology of the force networks," arXiv:1709.06957v1 [cond-mat.soft] 20 Sep 2017
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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