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Searching for the perfect packing

Author

Listed:
  • Herrmann, H.J.
  • Mahmoodi Baram, R.
  • Wackenhut, M.

Abstract

Extremely dense granular packings are needed for high resistance concrete or hard ceramics. They can only be realised when the size distribution of grains is strongly polydisperse. Typically power law distributions give the best results. We present a simple packing model for polydisperse distributions, namely a generalized reversible parking lot model. We also discuss the perfect limit of Apollonian packings in three dimensions and show in particular the existence of space filling bearings rotating without slip and without torsion.

Suggested Citation

  • Herrmann, H.J. & Mahmoodi Baram, R. & Wackenhut, M., 2003. "Searching for the perfect packing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 330(1), pages 77-82.
    • Handle: RePEc:eee:phsmap:v:330:y:2003:i:1:p:77-82
    DOI: 10.1016/j.physa.2003.08.023
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    Cited by:

    1. Balankin, Alexander S. & Matamoros, Daniel Morales & Pineda León, Ernesto & Rangel, Antonio Horta & Martínez Cruz, Miguel Ángel & Samayoa Ochoa, Didier, 2009. "Topological crossovers in the forced folding of self-avoiding matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(9), pages 1780-1790.
    2. Chand, Ram & Ali Khaskheli, Murad & Qadir, Abdul & Sandali, Yahya & Shi, Qingfan, 2014. "Influence of spontaneous percolation on apparent mass at the bottom of a Janssen granular column," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 96-100.
    3. Médici, M.E. & Benegas, O.A. & Uñac, R.O. & Vidales, A.M., 2012. "The effect of blending granular aggregates of different origin on the strength of concrete," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 1934-1941.

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