Jamming of Soft Frictionless Spheres

By Siew La Pang1, Ishan Srivastava1, Timothy S Fisher1

1. Purdue University

Predicts the jammed microstructure of an ensemble of spheres of user-defined number and size distribution

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Version 2.0 - published on 03 Sep 2014

doi:10.4231/D3DN3ZW94 cite this

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This tool simulates the athermal densification of soft, frictionless spheres from an initial sparsely connected phase to a mechanically stable, jammed phase. A jammed phase for a system of particles is defined as a granular matter phase that lies at the transition between a liquid-like state and a solid-like state. Such jammed phases are an important class of heterogeneous materials with diverse functional applications. This tool allows user-defined size distributions of spheres, initial packing fraction and soft-sphere contact mechanics law. Mathematical optimization methods are then employed to achieve a mechanically stable and energetically favorable jammed configuration as the system of spheres is compressed in an affine manner. Users can download various statistical and geometrical information about the jammed system such as spatial distribution of the spheres (including VTK graphics), average contact area, coordination number, internal pressure, and radial distribution functions.


1. C. S. O’Hern, L. E. Silbert, A. J. Liu, and S. R. Nagel, "Jamming at zero temperature and zero applied stress: The epitome of disorder," Phys. Rev. E 68, 011306 (2003).

2. K. C. Smith, M. Alam, and T. S. Fisher, "Athermal jamming of soft frictionless Platonic solids," Phys. Rev. E 82, 051304 (2010).

3. S. Torquato and F. Stillinger, "Jammed hard-particle packings: From Kepler to Bernal and beyond," Rev. Mod. Phys. 82, 2633 (2010).

4. K. C. Smith, I. Srivastava, T. S. Fisher, M. Alam, "Variable-cell method for stress-controlled jamming of athermal, frictionless grains," Phys. Rev. E 89, 042203 (2014)

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Researchers should cite this work as follows:

  • Siew La Pang, Ishan Srivastava, Timothy S Fisher (2014), "Jamming of Soft Frictionless Spheres," https://nanohub.org/resources/jamming. (DOI: 10.4231/D3DN3ZW94).

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