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Granular Matter

, 21:109 | Cite as

Comparison of shear and compression jammed packings of frictional disks

  • Fansheng Xiong
  • Philip WangEmail author
  • Abram H. Clark
  • Thibault Bertrand
  • Nicholas T. Ouellette
  • Mark D. Shattuck
  • Corey S. O’Hern
Original Paper
  • 111 Downloads
Part of the following topical collections:
  1. In Memoriam of Robert P. Behringer, late Editor in Chief of Granular Matter

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 \(\langle {{\hat{\varSigma}}}_{xy} \rangle = 0\) for MS packings generated via isotropic compression, whereas \(\langle {{\hat{\varSigma}}}_{xy} \rangle >0\) 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 \(\varDelta {{\hat{\varSigma }}}_{xy}\). 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.

Keywords

Granular materials Jamming Friction Shear jamming Force chains 

Notes

Acknowledgements

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 work also benefited from the facilities and staff of the Yale University Faculty of Arts and Sciences High Performance Computing Center. P.W. and F.X. contributed equally to the paper.

Funding

This research was sponsored by the Army Research Laboratory under Grant No. W911NF-17-1-0164 (P.W., N.T.O., and C.S.O.). Computing resources were provided by the Army Research Laboratory Defense University Research Instrumentation Program Grant No. W911NF-18-1-0252. The views and conclusions contained in this document are those of the authors and should not be interpreted as representing the official policies, either expressed or implied, of the Army Research Laboratory or the U.S. Government. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation herein. In addition, we acknowledge support from the China Scholarship Council Grant No. 201806210283 (F. X.).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Zhou Pei-Yuan Center for Applied MathematicsTsinghua UniversityBeijingChina
  2. 2.Department of Mechanical Engineering and Materials ScienceYale UniversityNew HavenUSA
  3. 3.Department of PhysicsNaval Postgraduate SchoolMontereyUSA
  4. 4.Department of MathematicsImperial College LondonLondonUK
  5. 5.Department of Civil and Environmental EngineeringStanford UniversityStanfordUSA
  6. 6.Benjamin Levich Institute and Physics DepartmentThe City College of the City University of New YorkNew YorkUSA
  7. 7.Department of PhysicsYale UniversityNew HavenUSA
  8. 8.Department of Applied PhysicsYale UniversityNew HavenUSA

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