IDEAS home Printed from https://ideas.repec.org/a/wsi/acsxxx/v04y2001i04ns0219525901000425.html
   My bibliography  Save this article

Nonlinear Elasticity And Thermodynamics Of Granular Materials

Author

Listed:
  • HERNÁN A. MAKSE

    (Levich Institute and Physics Department, City College of New York, New York, New York 10031, USA)

Abstract

The elastic properties of granular materials can be enormously nonlinear as compared with the properties of non-porous materials. Experiments on isotropic compression of a granular assembly of spheres show that the shear μ, and bulkk, moduli vary with the confining pressure faster than the 1/3 power law predicted by Hertz–Mindlin elasticity theory. Moreover, the ratio between the experimental bulk and shear moduli is found to be constant but with a value larger than the theoretical prediction. Numerical simulations resolve the question as to whether the problem lies with the treatment of the grain-grain contact or with the elastic framework. We find that the problem lies principally with the latter; theaffineassumption (which underlies the elastic formulation) is found to be valid forkbut to breakdown seriously for μ. This explains why the experimental and numerical values ofμ(p)are much smaller than the elastic predictions. In this paper we review recent progress on the understanding of this problem based on microscopic simulations, elasticity theory and more innovative ideas such as jamming, fragility and thermodynamics of granular materials.

Suggested Citation

  • Hernán A. Makse, 2001. "Nonlinear Elasticity And Thermodynamics Of Granular Materials," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 4(04), pages 491-501.
    • Handle: RePEc:wsi:acsxxx:v:04:y:2001:i:04:n:s0219525901000425
    DOI: 10.1142/S0219525901000425
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219525901000425
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219525901000425?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.

    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:wsi:acsxxx:v:04:y:2001:i:04:n:s0219525901000425. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/acs/acs.shtml .

    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.