Force Attractor in Confined Comminution of Granular Materials
- 8 March 2010
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 104 (10), 108001
- https://doi.org/10.1103/physrevlett.104.108001
Abstract
We reveal a novel attractor in the space of contact forces that bounds the behavior of granular materials during confined comminution. The attractor is reached asymptotically as the porosity reduces and the grain size distribution attains an ultimate power law scaling. The ultimate distribution of the contact forces follows a clear log-normal distribution, distinctively different from previous observations in uncrushable systems. Supporting evidence comes both from comprehensive discrete element simulations and a theoretical Apollonian model. DOI: http://dx.doi.org/10.1103/PhysRevLett.104.108001 © 2010 The American Physical SocietyKeywords
This publication has 31 references indexed in Scilit:
- Characterization of force chains in granular materialPhysical Review E, 2005
- Statistical analysis of contact force components in random granular assembliesGranular Matter, 2003
- Statistics of the contact network in frictional and frictionless granular packingsPhysical Review E, 2002
- A tribute to Fernando L. L. B. Carneiro (1913–2001) engineer and scientist who invented the Brazilian testMaterials and Structures, 2002
- One-Dimensional Compression Behaviour of Uniformly Graded Sand Related to Single Particle Crushing StrengthSoils and Foundations, 2001
- Numerical model of crushing of grains inside two-dimensional granular materialsPowder Technology, 1999
- Fragmentation of grains in a two-dimensional packingZeitschrift für Physik B Condensed Matter, 1998
- Dimension and Measures for a Curvilinear Sierpinski Gasket or Apollonian PackingAdvances in Mathematics, 1998
- Force Distributions in Dense Two-Dimensional Granular SystemsPhysical Review Letters, 1996
- On the nature of turbulenceCommunications in Mathematical Physics, 1971