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A study of gradient strengthening based on a finite-deformation gradient crystal-plasticity model

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An Erratum to this article was published on 24 August 2017

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Abstract

A comprehensive study on a finite-deformation gradient crystal-plasticity model which has been derived based on Gurtin’s framework (Int J Plast 24:702–725, 2008) is carried out here. This systematic investigation on the different roles of governing components of the model represents the strength of this framework in the prediction of a wide range of hardening behaviors as well as rate-dependent and scale-variation responses in a single crystal. The model is represented in the reference configuration for the purpose of numerical implementation and then implemented in the FEM software ABAQUS via a user-defined subroutine (UEL). Furthermore, a function of accumulation rates of dislocations is employed and viewed as a measure of formation of short-range interactions. Our simulation results reveal that the dissipative gradient strengthening can be identified as a source of isotropic-hardening behavior, which may represent the effect of irrecoverable work introduced by Gurtin and Ohno (J Mech Phys Solids 59:320–343, 2011). Here, the variation of size dependency at different magnitude of a rate-sensitivity parameter is also discussed. Moreover, an observation of effect of a distinctive feature in the model which explains the effect of distortion of crystal lattice in the reference configuration is reported in this study for the first time. In addition, plastic flows in predefined slip systems and expansion of accumulation of GNDs are distinctly observed in varying scales and under different loading conditions.

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  • 24 August 2017

    An erratum to this article has been published.

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  1. Mechanics of Functional Materials Division, Institute of Material Science, Technische Universität Darmstadt, Jovanka-Bontschits-Strasse 2, 64287, Darmstadt, Germany

    Habib Pouriayevali & Bai-Xiang Xu

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  1. Habib Pouriayevali
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Communicated by Andreas Öchsner.

An erratum to this article is available at https://doi.org/10.1007/s00161-017-0593-7.

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Pouriayevali, H., Xu, BX. A study of gradient strengthening based on a finite-deformation gradient crystal-plasticity model. Continuum Mech. Thermodyn. 29, 1389–1412 (2017). https://doi.org/10.1007/s00161-017-0589-3

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  • Issue Date:

  • DOI: https://doi.org/10.1007/s00161-017-0589-3

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