Critical Scaling near Yield in Granular Materials
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Authors
Clark, Abe
Shattuck, Mark
Ouellette, Nicholas
O'Hern, Corey
Subjects
Advisors
Date of Issue
2018-03-08
Date
March 8, 2018
Publisher
American Physical Society
Language
Abstract
We show that the yielding transition in granular media displays second-order critical-point scaling behavior, independent from jamming. We use discrete element simulations in the overdamped limit for frictionless spherical grains undergoing simple shear at fixed Σ, which is the ratio of the applied shear stress to normal stress. To find a mechanically stable (MS) packing that can support the applied Σ, isotropically prepared states with size L must travel over a strain γms(Σ,L). The density of MS packings, which is inversely proportional to γms(Σ,L), vanishes for Σ = Σc ≈ 0.11 according to a critical scaling form with a length scale ξ ~ |Σ - Σc|-ν, where ν ≈ 1.8. For Σ > Σc, no MS packings that can support Σ exist as L/ξ becomes large. For MS packings obtained by shear, the packing fraction is independent of Σ, but the anisotropy in force and contact networks increases with Σ. This suggests that Σc is associated with an upper limit in how far these networks can be deformed away from an isotropic configuration.
Type
Abstract
Description
APS March Meeting 2018, Volume 63, Number 1, Monday–Friday, March 5–9, 2018; Los Angeles, California
The item of record as published may be found at http://meetings.aps.org/link/BAPS.2018.MAR.S48.1
The item of record as published may be found at http://meetings.aps.org/link/BAPS.2018.MAR.S48.1
Series/Report No
Department
Physics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
This research was sponsored by the Army Research Laboratory and was accomplished under Grant Numbers W911NF-14-1-0005 and W911NF-17-1-0164 (A.H.C., N.T.O., and C.S.O.). M.D.S. acknowledges support from the National Science Foundation Grant No.~CMMI-1463455.
Funder
This research was sponsored by the Army Research Laboratory and was accomplished under Grant Numbers W911NF-14-1-0005 and W911NF-17-1-0164 (A.H.C., N.T.O., and C.S.O.). M.D.S. acknowledges support from the National Science Foundation Grant No.~CMMI-1463455.
Format
1 p.
Citation
Clark, Abe, et al. "Critical Scaling near Yield in Granular Materials." Bulletin of the American Physical Society 63 (2018).
Distribution Statement
Rights
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.