Variable-cell method for stress-controlled jamming of athermal, frictionless grains

Kyle C. Smith, Ishan Srivastava, Timothy S. Fisher, and Meheboob Alam
Phys. Rev. E 89, 042203 – Published 4 April 2014

Abstract

A method is introduced to simulate jamming of polyhedral grains under controlled stress that incorporates global degrees of freedom through the metric tensor of a periodic cell containing grains. Jamming under hydrostatic (isotropic) stress and athermal conditions leads to a precise definition of the ideal jamming point at zero shear stress. The structures of tetrahedra jammed hydrostatically exhibit less translational order and lower jamming-point density than previously described maximally random jammed hard tetrahedra. Under the same conditions, cubes jam with negligible nematic order. Grains with octahedral symmetry having s>0.5 (where s interpolates from octahedra [s=0] to cubes [s=1]) jam with an abundance of face-face contacts in the absence of nematic order. For sufficiently large face-face contact number, percolating clusters form that span the entire simulation box. The response of hydrostatically jammed tetrahedra and cubes to shear-stress perturbation is also demonstrated with the variable-cell method.

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  • Received 14 October 2013
  • Revised 21 February 2014

DOI:https://doi.org/10.1103/PhysRevE.89.042203

©2014 American Physical Society

Authors & Affiliations

Kyle C. Smith*

  • Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

Ishan Srivastava and Timothy S. Fisher

  • Birck Nanotechnology Center and School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907, USA

Meheboob Alam

  • Engineering Mechanics Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore 560064, India

  • *kyle.c.smith@gmail.com
  • tsfisher@purdue.edu
  • meheboob@jncasr.ac.in

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Issue

Vol. 89, Iss. 4 — April 2014

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