Full three dimensional cavitation instabilities using a non-quadratic anisotropic yield function

Brian Nyvang Legarth*, Viggo Tvergaard

*Corresponding author for this work

    Research output: Contribution to journalJournal articleResearchpeer-review

    171 Downloads (Pure)


    Full three dimensional cell models containing a small cavity are used to study the effect of plastic anisotropy on cavitation instabilities. Predictions for the Barlat-91 model (Int. J. Plast. 7, 693-712, 1991), with a non-quadratic anisotropic yield function, are compared with previous results for the classical anisotropic Hill-48 quadratic yield function (Proc. Royal Soc. Lond. A193, 281-297, 1948). The critical stress, at which the stored elastic energy will drive the cavity growth, is strongly affected by the anisotropy as compared to isotropic plasticity, but does not show much difference between the two models of anisotropy. While a cavity tends to remain nearly spherical during a cavitation instability in isotropic plasticity, the cavity shapes in an anisotropic material develop towards near-spheroidal elongated shapes, which differ for different values of the coefficients defining the anisotropy. The shapes found for the Barlat-91 model, with a non-quadratic anisotropic yield function, differ noticeably from the shapes found for the quadratic Hill-48 yield function. Computations are included for a high value of the exponent in the Barlat-91 model, where this model represents a Tresca-like yield surface with rounded corners.
    Original languageEnglish
    Article number031009
    JournalJournal of Applied Mechanics
    Issue number3
    Number of pages10
    Publication statusPublished - 2020


    • Computational mechanics
    • Micromechanics
    • Plasticity
    • Stress analysis


    Dive into the research topics of 'Full three dimensional cavitation instabilities using a non-quadratic anisotropic yield function'. Together they form a unique fingerprint.

    Cite this