The simulation of particulate materials packing using a particle suspension model

The behavior of particulate composite materials, such as portland cement concrete, depends to a large extent on the properties of their main constituent—the aggregates. Among the most important parameters affecting the performance of concrete are the packing density and corresponding particle size distribution (PSD) of aggregates. Better packing of aggregates improves the main engineering properties of composite materials: strength, modulus of elasticity, creep and shrinkage. Further, it brings major savings due to a reduction in the volume of binder. A simulation algorithm was developed for the modeling of packing of large assemblies of particulate materials (of the order of millions). These assemblies can represent the real aggregate systems composing portland cement concrete. The implementation of the developed algorithm allows the generation and visualization of the densest possible and loose-packing arrangements of aggregates. The influence of geometrical parameters and model variables on the degree of packing and the corresponding distribution of particles was analyzed. Based on the simulation results, different PSDs of particulate materials are correlated to their packing degree.

[1]  Konstantin Sobolev,et al.  The development of a new method for the proportioning of high-performance concrete mixtures , 2004 .

[2]  Per Goltermann,et al.  Packing of aggregates : An alternative tool to determine the optimal aggregate mix , 1997 .

[3]  Paul Meakin,et al.  Random packings of spheres built with sequential models , 1992 .

[4]  Adil Amirjanov,et al.  Optimal proportioning of concrete aggregates using a self-adaptive genetic algorithm , 2005 .

[5]  Anishchik,et al.  Three-Dimensional Apollonian Packing as a Model for Dense Granular Systems. , 1995, Physical review letters.

[6]  J. Sherwood,et al.  LETTER TO THE EDITOR: Packing of spheroids in three-dimensional space by random sequential addition , 1997 .

[7]  Pierre M. Adler,et al.  GEOMETRICAL AND TRANSPORT PROPERTIES OF RANDOM PACKINGS OF SPHERES AND ASPHERICAL PARTICLES , 1997 .

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

[9]  Sanford E. Thompson,et al.  THE LAWS OF PROPORTIONING CONCRETE , 1907 .

[10]  G. T. Nolan,et al.  Computer simulation of random packing of hard spheres , 1992 .

[11]  Wim J. J. Soppe,et al.  Computer simulation of random packings of hard spheres , 1990 .

[12]  R. Crawford,et al.  The packing of particles , 1987 .

[13]  Adil Amirjanov,et al.  The development of a simulation model of the dense packing of large particulate assemblies , 2004 .

[14]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[15]  A. J. Matheson.  Computation of a random packing of hard spheres , 1974 .

[16]  Richard A Williams,et al.  A packing algorithm for particles of arbitrary shapes , 2001 .

[17]  E. M. Tory,et al.  Computer simulation of isotropic, homogeneous, dense random packing of equal spheres , 1981 .

[18]  A. Amirjanov,et al.  Fractal properties of Apollonian packing of spherical particles , 2006 .

[19]  J. F. Young,et al.  The Science and Technology of Civil Engineering Materials , 1997 .

[20]  A. Neville.  Properties of Concrete , 1968 .

[21]  Pk Mehta,et al.  Materials Science of Concrete II , 1992 .

[22]  W. Visscher,et al.  Random Packing of Equal and Unequal Spheres in Two and Three Dimensions , 1972, Nature.

[23]  K. Z. Y. Yen,et al.  A dynamic simulation of particle rearrangement in powder packings with realistic interactions , 1992 .

[24]  M. Stroeven,et al.  Assessment of packing characteristics by computer simulation , 1999 .

[25]  K. Auh,et al.  Multi-level particle packing model of ceramic agglomerates , 2000 .

[26]  A. Amirjanov,et al.  A simulation model of the dense packing of particulate materials , 2004 .