Abstract
In this paper we study two mathematical formulations of a model of infinitesimal strain gradient plasticity for plastically irrotational materials proposed by Gurtin and Anand. The first formulation which exploits the context of convex analysis leads to a variational inequality whose well-posedness is studied. Due to the inability of this formulation to accommodate softening behaviour, a promising second formulation is proposed following the energetic approach for rate-independent processes developed by Mielke.
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Ebobisse, F., McBride, A.T., Reddy, B.D. (2008). On the Mathematical Formulations of a Model of Strain Gradient Plasticity. In: Reddy, B.D. (eds) IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media. IUTAM BookSeries, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9090-5_11
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DOI: https://doi.org/10.1007/978-1-4020-9090-5_11
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