Strain gradient crystal plasticity: A continuum mechanics approach to modeling micro-structural evolution

Salim Abdallah El-Naaman, Kim Lau Nielsen, Christian Frithiof Niordson

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    Abstract

    In agreement with dislocation theory, recent experiments show, both quantitatively and qualitatively, how geometrically necessary dislocations (GNDs) distribute in dislocation wall and cell structures. Hence, GND density fields are highly localized with large gradients and discontinuities occurring between the cells. This behavior is not typical for strain gradient crystal plasticity models. The present study employs a higher order extension of conventional crystal plasticity theory in which the viscous slip rate is influenced by the gradients of GND densities through a back stress. A phenomenological back stress formulation is proposed, through which the effect of the GND gradient exponent can be studied. It is shown that this model can lead to more localized GND distributions.
    Original languageEnglish
    Title of host publicationPlastic Behavior of Conventional and Advanced Materials: Theory, Experiment, and Modeling : Proceedings of PLASTICITY ’15
    EditorsAkhtar S. Khan
    Number of pages3
    PublisherNEAT Press
    Publication date2015
    ISBN (Print)978-0-9911654-8-3
    Publication statusPublished - 2015
    Event21st International Symposium on Plasticity and its Current Applications - Hilton Rose Hall Resort & Spa, Montego Bay, Jamaica
    Duration: 4 Jan 20159 Jan 2015
    Conference number: 21

    Conference

    Conference21st International Symposium on Plasticity and its Current Applications
    Number21
    LocationHilton Rose Hall Resort & Spa
    Country/TerritoryJamaica
    CityMontego Bay
    Period04/01/201509/01/2015

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