On modeling of geometrically necessary dislocation densities in plastically deformed single crystals

Christian Frithiof Niordson, Jeffrey W. Kysar

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    Abstract

    A computational method for strain gradient single crystal plasticity is presented. The method accounts for both recoverable and dissipative gradient effects. The mathematical solution procedure is predicated on two minimum principles along the lines
    of those devised by Fleck and Willis (2009) for isotropic plasticity. An effective 2Dsolution valid for certain orientations of face centered cubic crystals is presented, where effective in-plane material properties are derived based on the crystallographic properties.
    The problems of void growth, pure shear and 2D wedge indentation are analyzed numerically and geometrically necessary dislocation densities are derived from the slip fields and discussed relative to experimental results in the literature (Kysar et al., 2010).
    Original languageEnglish
    Title of host publicationProceedings of the 19th International Symposium on Plasticity & Its Current Applications 2013
    PublisherNEAT Press
    Publication date2013
    Pages22-24
    ISBN (Print)0-9659463-4-2
    Publication statusPublished - 2013
    EventInternational Symposium on Plasticity 2013 and Its Current Applications - Nassau, Bahamas
    Duration: 3 Jan 20138 Jan 2013

    Conference

    ConferenceInternational Symposium on Plasticity 2013 and Its Current Applications
    Country/TerritoryBahamas
    CityNassau
    Period03/01/201308/01/2013

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