Comparison of Shear and Compression Jammed Packings of Frictional Disks
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Authors
Xiong, Fansheng
Wang, Philip
Clark, Abram H.
Bertrand, Thibault
Ouellette, Nicholas T.
Shattuck, Mark D.
O’Hern, Corey S.
Subjects
Granular materials
Jamming
Friction
Shear jamming
Force chains
Jamming
Friction
Shear jamming
Force chains
Advisors
Date of Issue
2019
Date
Publisher
Springer
Language
Abstract
We compare the structural and mechanical properties of mechanically stable (MS) packings of frictional disks in two spatial dimensions (2D) generated with isotropic compression and simple shear protocols from discrete element modeling (DEM) simulations. We find that the average contact number and packing fraction at jamming onset are similar (with relative deviations <0.5%) for MS packings generated via compression and shear. In contrast, the average stress anisotropy ⟨��̂ ����⟩=0 for MS packings generated via isotropic compression, whereas ⟨��̂ ����⟩>0 for MS packings generated via simple shear. To investigate the difference in the stress state of MS packings, we develop packing-generation protocols to first unjam the MS packings, remove the frictional contacts, and then rejam them. Using these protocols, we are able to obtain rejammed packings with nearly identical particle positions and stress anisotropy distributions compared to the original jammed packings. However, we find that when we directly compare the original jammed packings and rejammed ones, there are finite stress anisotropy deviations ����̂ ����. The deviations are smaller than the stress anisotropy fluctuations obtained by enumerating the force solutions within the null space of the contact networks generated via the DEM simulations. These results emphasize that even though the compression and shear jamming protocols generate packings with the same contact networks, there can be residual differences in the normal and tangential forces at each contact, and thus differences in the stress anisotropy.
Type
Article
Description
The article of record as published may be found at https://doi.org/10.1007/s10035-019-0964-9
Series/Report No
Department
Physics
Organization
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NPS Report Number
Sponsors
The authors (P.W., N.T.O. and C.S.O.) thank the Army Research Laboratory for supporting the research carried out in this work. This research was sponsored by the Army Research Labora- tory under Grant No. W911NF-17-1-0164 (P.W., N.T.O., and C.S.O.). Computing resources were provided by the Army Research Labora- tory Defense University Research Instrumentation Program Grant No. W911NF-18-1-0252. In addition, we acknowledge support from the China Scholarship Council Grant No. 201806210283 (F. X.).
Funder
The authors (P.W., N.T.O. and C.S.O.) thank the Army Research Laboratory for supporting the research carried out in this work. This research was sponsored by the Army Research Labora- tory under Grant No. W911NF-17-1-0164 (P.W., N.T.O., and C.S.O.). Computing resources were provided by the Army Research Labora- tory Defense University Research Instrumentation Program Grant No. W911NF-18-1-0252. In addition, we acknowledge support from the China Scholarship Council Grant No. 201806210283 (F. X.).
Format
14 p.
Citation
Xiong, Fansheng, et al. "Comparison of shear and compression jammed packings of frictional disks." Granular Matter 21 (2019): 109.
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.