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

Abstract

A new 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 jam in the large-system limit 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.

10 pages, 8 figures

References in corpus (3)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Soft Sphere Packings at Finite Pressure but Unstable to Shear
• Understanding the Frequency Distribution of Mechanically Stable Disk Packings

Cited by in corpus (12)

• Hypostatic jammed packings of frictionless nonspherical particles
• Effect of Shape and Friction on the Packing and Flow of Granular Materials
• Granular packings with sliding, rolling and twisting friction
• Non-universal Voronoi cell shapes in amorphous ellipsoid packings
• Protocol dependence of the jamming transition
• Flow-Arrest Transitions in Frictional Granular Matter
• Viscometric flow of dense granular materials under controlled pressure and shear stress
• Jamming of Bidisperse Frictional Spheres
• Large-scale frictionless jamming with power-law particle size distributions
• Interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials
• Flow and Arrest in Stressed Granular Materials
• Local analysis of the history dependence in tetrahedra packings