A computational study of a model of single-crystal strain-gradient viscoplasticity with an interactive hardening relation

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The behavior of a model of single-crystal strain-gradient viscoplasticity is investigated. The model is an extension of a rate-independent version, and includes a new hardening relation that has recently been proposed in the small-deformation context (Gurtin and Reddy, 2014), and which accounts for slip-system interactions due to self and latent hardening. Energetic and dissipative effects, each with its corresponding length scale, are included. Numerical results are presented for a single crystal with single and multiple slip systems, as well as an ensemble of grains. These results provide a clear illustration of the effects of accounting for slip-system interactions.

Original languageEnglish
JournalInternational Journal of Solids and Structures
Volume51
Issue number15-16
Pages (from-to)2754-2764
Number of pages11
ISSN0020-7683
DOIs
Publication statusPublished - 01.08.2014
Externally publishedYes

Bibliographical note

Funding Information:
B.D.R. was supported through the South African Research Chair in Computational Mechanics by the Department of Science and Technology and the National Research Foundation. This support is gratefully acknowledged.

Funding Information:
Part of this research was done while S.B. visited the Centre for Research in Computational and Applied Mechanics, University of Cape Town, whose hospitality is gratefully acknowledged. S.B. was supported by the German Science Foundation (DFG), contract PAK 250 (BA 3951/2), which is gratefully acknowledged.

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