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Yielding, rigidity, and tensile stress in sheared columns of hexapod granules

Yuchen Zhao, Jonathan Barés, and Joshua E. S. Socolar
Phys. Rev. E 101, 062903 – Published 23 June 2020

Abstract

Granular packings of nonconvex or elongated particles can form freestanding structures like walls or arches. For some particle shapes, such as staples, the rigidity arises from interlocking of pairs of particles, but the origins of rigidity for noninterlocking particles remains unclear. We report on experiments and numerical simulations of sheared columns of “hexapods,” particles consisting of three mutually orthogonal sphero-cylinders whose centers coincide. We vary the length-to-diameter aspect ratio, α, of the sphero-cylinders and subject the packings to quasistatic direct shear. For small α, we observe a finite yield stress. For large α, however, the column becomes rigid when sheared, supporting stresses that increase sharply with increasing strain. Analysis of x-ray microcomputed tomography (micro-CT) data collected during the shear reveals that the stiffening is associated with a tilted, oblate cluster of hexapods near the nominal shear plane in which particle deformation and average contact number both increase. Simulation results show that the particles are collectively under tension along one direction, even though they do not interlock pairwise. These tensions comes from contact forces carrying large torques, and they are perpendicular to the compressive stresses in the packing. They counteract the tendency to dilate, thus stabilizing the particle cluster.

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  • Received 28 February 2020
  • Accepted 28 April 2020

DOI:https://doi.org/10.1103/PhysRevE.101.062903

©2020 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Polymers & Soft Matter

Authors & Affiliations

Yuchen Zhao1,*, Jonathan Barés2, and Joshua E. S. Socolar1

  • 1Department of Physics, Duke University, Durham, North Carolina 27708, USA
  • 2Laboratoire de Mécanique et Génie Civil, UMR 5508, CNRS-University Montpellier, 34095 Montpellier, France

  • *yz172@phy.duke.edu

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Issue

Vol. 101, Iss. 6 — June 2020

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