Implementation and application of a gradient enhanced crystal plasticity model

Celal Soyarslan*, Emin Semih Perdahcioglu, Emin Erkan Asik, A. H. Van Den Boogaard, S. Bargmann

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    4 Citations (Scopus)


    A rate-independent crystal plasticity model is implemented in which description of the hardening of the material is given as a function of the total dislocation density. The evolution of statistically stored dislocations (SSDs) is described using a saturating type evolution law. The evolution of geometrically necessary dislocations (GNDs) on the other hand is described using the gradient of the plastic strain tensor in a non-local manner. The gradient of the incremental plastic strain tensor is computed explicitly during an implicit FE simulation after each converged step. Using the plastic strain tensor stored as state variables at each integration point and an efficient numerical algorithm to find the gradients, the GND density is obtained. This results in a weak coupling of the equilibrium solution and the gradient enhancement. The algorithm is applied to an academic test problem which considers growth of a cylindrical void in a single crystal matrix.

    Original languageEnglish
    Title of host publicationProceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017
    PublisherAmerican Institute of Physics
    ISBN (Electronic)9780735415805
    Publication statusPublished - 16 Oct 2017
    Event20th International ESAFORM Conference on Material Forming - City University Dublin, Dublin, Ireland
    Duration: 26 Apr 201728 Apr 2017
    Conference number: 20

    Publication series

    NameAIP conference proceedings


    Conference20th International ESAFORM Conference on Material Forming
    Abbreviated titleESAFORM 2017
    Internet address


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