Structure of plastically compacting granular packings.

In this paper we present results of structural studies of compacting experimental systems of ductile grains in two and three dimensions. The high precision of our two-dimensional experiments enables a detailed study of the evolution of coordination numbers and local crystalline arrangements as a function of the packing fraction. The structure in both dimensions deviates considerably from that of hard disks and spheres, although geometrically, crystalline arrangements dominate on a local scale (in two dimensions). In three dimensions, the evolution of the coordination number is compared to experimental packings of hard and ductile grains from the literature. This comparison shows that the evolution of coordination number with packing fraction is not unique for ductile systems in general, but must depend on rheology and grain size.

[1]  P. Lockhart.  INTRODUCTION TO GEOMETRY , 2007 .

[2]  S. Ostojic,et al.  Scale invariance and universality of force networks in static granular matter , 2006, Nature.

[3]  D. Bideau,et al.  Experimental compaction of anisotropic granular media , 2005, The European physical journal. E, Soft matter.

[4]  Christian Brosseau,et al.  Finite-element method for calculation of the effective permittivity of random inhomogeneous media. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  R. Zou,et al.  Packing structure of cohesive spheres. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  F. Stillinger,et al.  Improving the Density of Jammed Disordered Packings Using Ellipsoids , 2004, Science.

[7]  D. Bideau,et al.  Analysis by x-ray microtomography of a granular packing undergoing compaction. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  R. Zou,et al.  Voronoi tessellation of the packing of fine uniform spheres. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Salvatore Torquato,et al.  STATISTICAL DESCRIPTION OF MICROSTRUCTURES , 2002 .

[10]  A. J. Forsyth,et al.  Effects of interparticle force on the packing of spherical granular material. , 2001, Physical review letters.

[11]  Thomas M Truskett,et al.  Is random close packing of spheres well defined? , 2000, Physical review letters.

[12]  R. Behringer,et al.  Memories in sand: experimental tests of construction history on stress distributions under sandpiles. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  Thomas M Truskett,et al.  Structural precursor to freezing in the hard-disk and hard-sphere systems , 1998 .

[14]  Olivier Pouliquen,et al.  Crystallization of non-Brownian Spheres under Horizontal Shaking , 1997 .

[15]  H. Jaeger,et al.  Reversibility and irreversibility in the packing of vibrated granular material , 1997 .

[16]  Luc Oger,et al.  Voronoi tessellation of packings of spheres: Topological correlation and statistics , 1996 .

[17]  Knight,et al.  Density relaxation in a vibrated granular material. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[18]  Einar L. Hinrichsen,et al.  Random packing of disks in two dimensions , 1990 .

[19]  R. Swendsen.  Dynamics of random sequential adsorption , 1981 .

[20]  J. Feder.  Random sequential adsorption , 1980 .

[21]  Y. Pomeau.  Some asymptotic estimates in the random parking problem , 1980 .

[22]  Hellmut F. Fischmeister,et al.  Particle Deformation and Sliding During Compaction of Spherical Powders: A Study by Quantitative Metallography , 1978 .

[23]  P. C. Hemmer,et al.  Cooperative effects in random sequential polymer reactions , 1974 .

[24]  J. L. Finney,et al.  Random packings and the structure of simple liquids. I. The geometry of random close packing , 1970, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[25]  G. Mason.  Radial Distribution Functions from Small Packings of Spheres , 1968, Nature.

[26]  G. D. Scott,et al.  Radial Distribution of the Random Close Packing of Equal Spheres , 1962, Nature.

[27]  J. D. BERNAL,et al.  Packing of Spheres: Co-ordination of Randomly Packed Spheres , 1960, Nature.

[28]  C. Bloomquist,et al.  Fine Particle Suspensions in Organic Liquids , 1940 .