IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/646514.html
   My bibliography  Save this article

Stable Cracking Particles Method Based on Stabilized Nodal Integration and Updated Lagrangian Kernel

Author

Listed:
  • S. Xu

Abstract

A stable cracking particles method (CPM) based on updated Lagrangian kernels is proposed. The idea of CPM is to model the crack topology by a set of cracked particles. Hence no representation of the crack surface is needed making the method useful for problems involving complex fracture patterns as they occur in dynamics and under fast loading conditions. For computational efficiency, nodal integration is exploited in the present paper. In order to avoid instabilities, a scheme is presented to stabilized the integration. Moreover, a set of simple cracking rules are proposed in order to prevent numerical fracture. The method is applied to two benchmark problems and shows good accuracy.

Suggested Citation

  • S. Xu, 2014. "Stable Cracking Particles Method Based on Stabilized Nodal Integration and Updated Lagrangian Kernel," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-10, May.
    • Handle: RePEc:hin:jnlmpe:646514
    DOI: 10.1155/2014/646514
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2014/646514.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2014/646514.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/646514?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
    ---><---

    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:hin:jnlmpe:646514. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.