Radical edge crack problem of a circular disk under circumference load

W. S. Xiao, H. P. Zhu

    Research output: Chapter in Book / Conference PaperConference Paperpeer-review

    5 Citations (Scopus)

    Abstract

    The problem of a circular disk with a radial edge crack is investigated theoretically. The disk is in an equilibrium state of generalized plane stress caused by a pair of concentrated forces loading on the disk circumference. The region of the cracked disk was mapped into the interior of a unit circle by using a conformal transformation. A boundary integral method was suggested to avoid the difficulty caused by the singularities of the transform function. The boundary value problem of the elastic cracked disk was solved analytically in a closed form. The stress intensity factor (SIF) at the tip of the crack was calculated using the complex potentials. The result shows that the smaller the load angle, the higher the value of the SIF.
    Original languageEnglish
    Title of host publicationPowers and Grains 2013 : Proceedings of the 7th International Conference on Micromechanics of Granular Media, 8-12 July 2013, Sydney, Australia
    PublisherAmerican Institute of Physics
    Pages911-914
    Number of pages4
    ISBN (Print)9780735411661
    DOIs
    Publication statusPublished - 2013
    EventInternational Conference on Micromechanics of Granular Media -
    Duration: 8 Jul 2013 → …

    Publication series

    Name
    ISSN (Print)0094-243X

    Conference

    ConferenceInternational Conference on Micromechanics of Granular Media
    Period8/07/13 → …

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