IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v210y1994i3p301-316.html
   My bibliography  Save this article

A model for the packing of irregularly shaped grains

Author

Listed:
  • Mounfield, C.C.
  • Edwards, S.F.

Abstract

In this paper we will attempt to address the problem of the packing properties of granular materials composed of irregularly shaped grains (using configurational statistical mechanics). In particular, we will develop a model for a system of irregular grains based upon perturbing a packing of mono- or poly-disperse spheres. In the mono-disperse case we will show that the system packs less densely than a packing of perfect spheres, except when local correlations between configurations of grains are taken into account. The opposite is found to be true for a perturbation expansion based upon poly-disperse spheres. Finally we will show that for a bi-disperse packing of spheres phase segregation occurs for any size ratio and discuss whether this is to be expected.

Suggested Citation

  • Mounfield, C.C. & Edwards, S.F., 1994. "A model for the packing of irregularly shaped grains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 301-316.
    • Handle: RePEc:eee:phsmap:v:210:y:1994:i:3:p:301-316
    DOI: 10.1016/0378-4371(94)90078-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437194900787
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(94)90078-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lubrano, Michel & Shadman-Mehta, Fatemeh & Sneessens, Henri R, 1996. "Real Wages, Quantity Constraints and Equilibrium Unemployment: Belgium, 1955-1988," Empirical Economics, Springer, vol. 21(3), pages 427-457.
    2. Edwards, S.F. & Oakeshott, R.B.S., 1989. "Theory of powders," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(3), pages 1080-1090.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Edwards, S.F. & Mounfield, C.C., 1996. "A theoretical model for the stress distribution in granular matter. III. Forces in sandpiles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 226(1), pages 25-33.
    2. Jacques Drèze, 2001. "On the Macroeconomics of Uncertainty and Incomplete Markets," International Economic Association Series, in: Jacques Drèze (ed.), Advances in Macroeconomic Theory, chapter 3, pages 30-55, Palgrave Macmillan.
    3. Mounfield, C.C. & Edwards, S.F., 1994. "The statistical mechanics of granular systems composed of elongated grains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 279-289.
    4. Oakeshott, R.B.S. & Edwards, S.F., 1994. "Perturbative theory of the packing of mixtures and of non-spherical particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 202(3), pages 482-498.
    5. Edwards, S.F. & Mounfield, C.C., 1994. "The statistical mechanics of granular systems composed of spheres and elongated grains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 290-300.
    6. Welfe, Aleksander, 1996. "The Price-Wage Inflationary Spiral in Poland," Economic Change and Restructuring, Springer, vol. 29(1), pages 33-50.
    7. Welfe, Aleksander, 1994. "The price-wage inflationary spiral: The mixed economic case," Discussion Papers 13, University of Konstanz, Center for International Labor Economics (CILE).
    8. Lhuillier, Daniel, 2007. "Constitutive relations for steady flows of dense granular liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 267-275.
    9. Tejada, Ignacio G., 2011. "A new statistical mechanics approach to dense granular media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(14), pages 2664-2677.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:210:y:1994:i:3:p:301-316. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.