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.Key wordsstrain gradient plasticityvariational inequalitysoftening behaviourenergetic formulation

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