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Handbook of Nonlocal Continuum Mechanics for Materials and Structures pp 1–32Cite as

Strain Gradient Crystal Plasticity: Thermodynamics and Implementation

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Abstract

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.

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Acknowledgements

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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Authors and Affiliations

  1. Department of Aerospace Engineering, Middle East Technical University, 06800, Ankara, Turkey

    Tuncay Yalçinkaya

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  1. Tuncay Yalçinkaya
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Correspondence to Tuncay Yalçinkaya .

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  1. Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, USA

    George Z. Voyiadjis

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Yalçinkaya, T. (2016). Strain Gradient Crystal Plasticity: Thermodynamics and Implementation. In: Voyiadjis, G. (eds) Handbook of Nonlocal Continuum Mechanics for Materials and Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-22977-5_2-1

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  • DOI: https://doi.org/10.1007/978-3-319-22977-5_2-1

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