Structural Characteristics of Three-Dimensional Random Packing of Aggregates with Wide Size Distribution

Authors: Kasthurirangan Gopalakrishnan, Naga Shashidhar

Abstract:

The mechanical properties of granular solids are dependent on the flow of stresses from one particle to another through inter-particle contact. Although some experimental methods have been used to study the inter-particle contacts in the past, preliminary work with these techniques indicated that they do not have the necessary resolution to distinguish between those contacts that transmit the load and those that do not, especially for systems with a wide distribution of particle sizes. In this research, computer simulations are used to study the nature and distribution of contacts in a compact with wide particle size distribution, representative of aggregate size distribution used in asphalt pavement construction. The packing fraction, the mean number of contacts and the distribution of contacts were studied for different scenarios. A methodology to distinguish and compute the fraction of load-bearing particles and the fraction of space-filling particles (particles that do not transmit any force) is needed for further investigation.

Keywords: Computer simulation, three-dimensional particlepacking, coordination number, asphalt concrete, aggregates.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1330199

References:

[1] P. Dantu, "Contribution a l-etude mecanique et geometrique des milieux pulverulents (in French)", in. Proc., 4th Int. Conf. on Soil Mech. and Found. Eng, vol. 1, 1957, pp. 144-48.
[2] G. T. Nolan and P. E. Kavanagh, "Computer Simulation of Random Packing of Hard Spheres," Powder Technology 72, 1992, pp. 149-55.
[3] J. D. Bernal and G. Mason, "Coordination of Randomly Packed Spheres," Nature 188, 1960, p. 910.
[4] J. D. Bernal, I. A. Cherry, J. L. Finney and K. R. Knight, "An Optical Machine for Measuring Sphere Coordinates in Random Packings," J. Phys. E 3, 1970, pp. 388-90.
[5] W. M. Vischer and M. Bolsterli, "Random Packing of Equal and Unequal Spheres in Two and Three Dimensions," Nature (London) 239, 1972, p. 504.
[6] R. Jullien, and P. Meakin, "Simple Three-Dimensional Models for Ballistic Deposition with Restructuring," Europhysics Lett. 4, 1987, pp. 1385-90.
[7] W. Soppe, "Computer Simulation of Random Packings of Hard Spheres," Powder Technology 62, 1990, pp. 189-96.
[8] M. J. Powell, "Computer-Simulated Random Packing of Spheres," Powder Technology 25, 1980, pp. 45-52.
[9] N. Shashidhar, X. Zhong, A. Shenoy, and E. Bastian, "Investigating the role of aggregate structure in asphalt pavements," in Proc., 8th Annual Symposium on Aggregates, Asphalt Concrete, Bases and Fines, ICAR, Denver, Colorodo, 2000.
[10] H. Y. Sohn and C. Moreland, "The Effect of Particle Size Distribution on Packing Density," Canadian J. Chem. Eng. 46, 1968, pp. 162-67.
[11] A. R. Dexter and D. W. Tanner, "Packing Densities of Mixtures of Spheres with Log-Normal Size Distributions," Nature Phy. Sci. 238, 1972, pp. 31-32.
[12] G. P. Bierwagen and T. E. Saunders, "Studies of the Effects of Particle Size Distribution on the Packing Efficiency of Particles," Powder Technology 10, 1974, pp. 111-19.
[13] P. A. Cundall and O. D. L. Strack, "A Discrete Numerical Model for Granular Assemblies," Geotechnique 29(1), 1979, pp. 47-65.
[14] X. Zhong, N. Shashidhar, and C. S. Chang, "DEM stability for static analysis in aggregate packing," in Proc., 14th Engineering Mechanics Conference, ASCE, Austin, Texas, 2000.
[15] D. P. Bentz, "Three dimensional computer simulation of Portland cement hydration and microstructure development," Journal of American Ceramics Society 80(1), 1997, pp. 3-21.
[16] L. Oger, M. Lichtenberg, A. Gervois and E. Guyon, "Determination of the Coordination Number in Disordered Packings of Equal Spheres," Journal of Microscopy 156(1), 1989, pp. 65-78.
[17] J. P. Troadec, A. Gervois, C. Annic and J. Lemaître, "A model of binary assemblies of dises and its application to segregation study," J. Phys. (France) I 4, 1994, pp. 1121-1132.
[18] K. Gotoh and J. L. Finney, "Statistical Geometrical Approach to Random Packing Density of Equal Spheres," Nature 252, 1974, pp. 202- 205.
[19] J. Zheng, P. F. Johnson and J. S. Reed, J. Amer. Ceram. Soc. 73, 1990, p. 1392.
[20] C. C. Furnas, "Grinding aggregates IÔÇömathematical relations for beds of broken solids of maximum density," Ind. Eng. Chem. 23, 1931, p. 1052.
[21] J. E. Funk and D. R. Dinger. Predictive Process control of Crowded Particulate Suspensions. Kluwer Academic Publishers, Boston, 1994.
[22] A. E. R. Westman and H. R. Hugill, "The Packing of Particles," J. Amer. Ceram. Soc. 13, 1930, pp. 767-79.
[23] J. F. Goode and L. A. Lufsey, "A New Graphical Chart for Evaluating Aggregate Gradations," Assoc. Asphalt Paving Technologists 31, 1962, pp. 176-207.
[24] T. Travers, D. Bideau, J. P. Troadec and J. C. Messager, "Uniaxial Compression Effects on 2D Mixtures of 'Hard' and 'Soft' cylinders," J. Phys. A 19, 1986, pp. L1033-L1038.