IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v490y2018icp338-346.html
   My bibliography  Save this article

Simulation of finite size effects of the fiber bundle model

Author

Listed:
  • Hao, Da-Peng
  • Tang, Gang
  • Xun, Zhi-Peng
  • Xia, Hui
  • Han, Kui

Abstract

In theory, the macroscopic fracture of materials should correspond with the thermodynamic limit of the fiber bundle model. However, the simulation of a fiber bundle model with an infinite size is unrealistic. To study the finite size effects of the fiber bundle model, fiber bundle models of various size are simulated in detail. The effects of system size on the constitutive behavior, critical stress, maximum avalanche size, avalanche size distribution, and increased step number of external load are explored. The simulation results imply that there is no feature size or cut size for macroscopic mechanical and statistical properties of the model. The constitutive curves near the macroscopic failure for various system size can collapse well with a simple scaling relationship. Simultaneously, the introduction of a simple extrapolation method facilitates the acquisition of more accurate simulation results in a large-limit system, which is better for comparison with theoretical results.

Suggested Citation

  • Hao, Da-Peng & Tang, Gang & Xun, Zhi-Peng & Xia, Hui & Han, Kui, 2018. "Simulation of finite size effects of the fiber bundle model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 338-346.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:338-346
    DOI: 10.1016/j.physa.2017.08.087
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117308671
    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/j.physa.2017.08.087?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. Aarão Reis, F.D.A., 2006. "Roughness fluctuations, roughness exponents and the universality class of ballistic deposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 190-196.
    2. Hao, Da-Peng & Tang, Gang & Xun, Zhi-Peng & Xia, Hui & Han, Kui, 2016. "Simulation study on the avalanche process of the mixed brittle–plastic fiber bundle model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 237-244.
    3. Dill-Langer, G & Hidalgo, R.Cruz & Kun, F & Moreno, Y & Aicher, S & Herrmann, H.J, 2003. "Size dependency of tension strength in natural fiber composites," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(3), pages 547-560.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Hao, Da-Peng & Tang, Gang & Xun, Zhi-Peng & Xia, Hui & Han, Kui, 2018. "The avalanche process of the fiber bundle model with defect in local loading sharing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 1095-1102.

    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. Kádár, Viktória & Danku, Zsuzsa & Pál, Gergő & Kun, Ferenc, 2022. "Approach to failure through record breaking avalanches in a heterogeneous stress field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    2. Disrattakit, P. & Chanphana, R. & Chatraphorn, P., 2016. "Roughness distribution of multiple hit and long surface diffusion length noise reduced discrete growth models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 619-629.
    3. Nogueira, Isadora R. & Alves, Sidiney G. & Ferreira, Silvio C., 2011. "Scaling laws in the diffusion limited aggregation of persistent random walkers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4087-4094.

    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:490:y:2018:i:c:p:338-346. 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.