A computational study of a model of single-crystal strain-gradient viscoplasticity with an interactive hardening relation |
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| Affiliation: | 1. Institute of Continuum Mechanics and Material Mechanics, Hamburg University of Technology, Germany;2. Institute of Materials Research, Materials Mechanics, Helmholtz-Zentrum Geesthacht, Max-Planck-Str. 1, 21502 Geesthacht, Germany;3. Centre for Research in Computational and Applied Mechanics, and Department of Mathematics and Applied Mathematics, University of Cape Town, 7701 Rondebosch, South Africa |
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| Abstract: | 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. |
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| Keywords: | Single-crystal strain-gradient viscoplasticity Interactive hardening relation Latent hardening Polycrystal |
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