Strain Gradient Crystal Plasticity: Thermodynamics and Implementation

  • Tuncay Yalçinkaya
Reference work entry


This chapter studies the thermodynamical consistency and the finite element implementation aspects of a rate-dependent nonlocal (strain gradient) crystal plasticity model, which is used to address the modeling of the size-dependent behavior of polycrystalline metallic materials. The possibilities and required updates for the simulation of dislocation microstructure evolution, grain boundary-dislocation interaction mechanisms, and localization leading to necking and fracture phenomena are shortly discussed as well. The development of the model is conducted in terms of the displacement and the plastic slip, where the coupled fields are updated incrementally through finite element method. Numerical examples illustrate the size effect predictions in polycrystalline materials through Voronoi tessellation.


Size effect Strain gradient Crystal plasticity Finite element Polycrystalline plasticity Thermodynamics 



Tuncay Yalçinkaya gratefully acknowledges the support by the Scientific and Technological Research Council of Turkey (TÜBİTAK) under the 3001 Programme (Grant No. 215M381).


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Tuncay Yalçinkaya
    • 1
    • 2
  1. 1.Aerospace Engineering ProgramMiddle East Technical University Northern Cyprus CampusGuzelyurtTurkey
  2. 2.Department of Aerospace EngineeringMiddle East Technical UniversityAnkaraTurkey

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