IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v266y1999i1p299-306.html
   My bibliography  Save this article

Scaling and patterns in surface fragmentation processes

Author

Listed:
  • Sokolov, I.M.
  • Blumen, A.

Abstract

We model the failure of inhomogeneous surface layers under expansion. The quenched disorder is accounted for by a probability distribution (PD) of local breakdown strengths. The ensuing crack patterns range from percolation-like defect aggregates to well-defined polygons. Since no load sharing takes place in surface fragmentation, the effects governing crack propagation are local: the defects interact only within some correlation length. Fragmentation can be viewed as anisotropic, correlated percolation, where the formation of a new defect depends on the defects already present. Both the overall picture and the scaling of the fragment sizes depend strongly on the PD.

Suggested Citation

  • Sokolov, I.M. & Blumen, A., 1999. "Scaling and patterns in surface fragmentation processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 299-306.
    • Handle: RePEc:eee:phsmap:v:266:y:1999:i:1:p:299-306
    DOI: 10.1016/S0378-4371(98)00606-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437198006062
    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/S0378-4371(98)00606-2?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Osinsky, Alexander & Brilliantov, Nikolai, 2022. "Scaling laws in fragmentation kinetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).

    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:266:y:1999:i:1:p:299-306. 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: 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.