Random trajectories of crack growth caused by spatial stress fluctuations

A.N. Galybin, Arcady Dyskin

    Research output: Contribution to journalArticlepeer-review

    15 Citations (Scopus)


    The results of 2D computer simulations of crack trajectories in an elastic material under a superposition of external uniaxial or biaxial tension and spatially random stress fluctuations are presented. The initial crack is straight. The criterion of maximum tensile stress near the crack tip is used to determine the crack trajectory. It is assumed that crack propagates in linear segments, step by step from either left or right tip depending on where the local circumferential stress is higher. Each segment is subjected to randomly-generated uniform tractions whose values are normally distributed with zero mean, independent of loads on previous segments. It is shown that the deflection of the actual crack paths from the trend increases with the crack length; its standard deviation grows stronger than predicted by the 'random walk' model.
    Original languageEnglish
    Pages (from-to)95-103
    JournalInternational Journal of Fracture
    Issue number1-4
    Publication statusPublished - 2004


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