NDLI: Friction and pressure-dependence of force chain communities in granular materials

Content Provider	Springer Nature Link
Author	Huang, Yuming Daniels, Karen E.
Copyright Year	2016
Abstract	Granular materials transmit stress via a network of force chains. Despite the importance of these chains in characterizing the stress state and dynamics of the system, there is no common framework for quantifying their properties. Recently, attention has turned to the tools of network science as a promising route to such a description. In this paper, we apply a common network-science technique, community detection, to the force network of numerically-generated packings of spheres over a range of interparticle friction coefficients and confining pressures. In order to extract chain-like features, we use a modularity maximization with a recently-developed geographical null model (Bassett et al. in Soft Matter 11:2731–2744, 2015), and optimize the technique to detect sparse structures by minimizing the normalized convex hull ratio of the detected communities. We characterize the force chain communities by their size (number of particles), network force (interparticle forces), and normalized convex hull ratio (sparseness). We find that the first two are highly correlated and are therefore largely redundant. For both pressure P and interparticle friction $$\mu $$ , we observe two distinct transitions in behavior. One, for $$\mu \lesssim 0.1$$ the packings exhibit more distinguishability to pressure than at higher $$\mu $$ . Two, we identify a transition pressure $$P^$$ at which the frictional dependence switches behaviors. Below $$P^$$ there are more large/strong communities at low $$\mu $$ , while above $$P^*$$ there are more large/strong communities at high $$\mu $$ . We explain these phenomena by comparison to the spatial distribution of communities along the vertical axis of the system. These results provide new tools for considering the mesoscale structure of a granular system and pave the way for reduced descriptions based on the force chain structure.
Starting Page	1
Ending Page	11
Page Count	11
File Format	PDF
ISSN	14345021
Journal	Granular Matter
Volume Number	18
Issue Number	4
e-ISSN	14347636
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-10-27
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Force chains Network community structure Numerical simulations Friction Pressure Soft and Granular Matter, Complex Fluids and Microfluidics Engineering Fluid Dynamics Materials Science Geoengineering, Foundations, Hydraulics Industrial Chemistry/Chemical Engineering Engineering Thermodynamics, Heat and Mass Transfer
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials Materials Science

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