Granular response to impact: topology of the force networks

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Author
Takahashi, T.
Clark, Abram H.
Majmudar, T.
Kondic, L.
Date
2017-09-20Metadata
Show full item recordAbstract
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.
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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.Collections
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