Computational Strain Gradient Crystal Plasticity

Christian Frithiof Niordson, Jeffrey W. Kysar

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

    Abstract

    A model for strain gradient crystal visco-plasticity is formulated along the lines proposed by Fleck andWillis (2009) for isotropic plasticity. Size-effects are included in the model due to the addition of gradient terms in both the free energy as well as through a dissipation potential. A finite element solution method is presented, which delivers the slip-rate field and the velocity-field based on two minimum principles. Some plane deformation problems relevant for certain specific orientations of a face centered cubic crystal under plane loading conditions are studied, and effective in-plane parameters are developed based on the crystallographic properties of the material. The problem of cyclic shear of a single crystal between rigid platens is studied as well as void growth of a cylindrical void.
    Original languageEnglish
    Title of host publicationProceedings of the 17th International Symposium on Plasticity & Its Current Applications
    PublisherNEAT Press
    Publication date2011
    Pages13-15
    ISBN (Print)0-9659463-1-2
    Publication statusPublished - 2011
    EventThe 17th International Symposium on Plasticity & Its Current Applications - CasaMagna Marriot, Puerto Vallarta, Mexico
    Duration: 3 Jan 20118 Jan 2011
    Conference number: 17

    Conference

    ConferenceThe 17th International Symposium on Plasticity & Its Current Applications
    Number17
    LocationCasaMagna Marriot
    Country/TerritoryMexico
    CityPuerto Vallarta
    Period03/01/201108/01/2011

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