A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. Part I: Small deformations

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Consistent determination of geometrically necessary dislocation density from simulations and experiments (2018, background): “Numerous strain gradient plasticity (SGP) formulations have been proposed, for example by Fleck and Hutchinson (Fleck and Hutchinson, 1997; Fleck et al., 1994), Gao, Huang, Nix and Hutchinson (Gao et al., 1999), Arsenlis and Parks (1999), Cheong and Busso (Busso et al., 2000), Gurtin and Anand (Gurt”
BASIC STRAIN GRADIENT PLASTICITY THEORIES WITH APPLICATION TO CONSTRAINED FILM DEFORMATION (2011, background): “Flow theory solutions are presented for both the rate-independent formulation and the viscoplastic, rate-dependent formulation [Gudmundson 2004; Gurtin and Anand 2005; Fleck and Willis 2009b], with either full constraint on plastic flow at the platens (εP12 = ε P 11 = ε P 22 = ε P 33 = 0) or no…”
Well-posedness of a model of strain gradient plasticity for plastically irrotational materials (2008, methodology): “The initial boundary value problem corresponding to the model of strain gradient plasticity proposed in Gurtin and Anand (2005a) has been formulated as a variational inequality, and its well-posedness explored.”
Guidelines for Constructing Strain Gradient Plasticity Theories (2015, background): “Key words: Strain gradient plasticity, proportional loading, non-proportional loading, elastic loading gaps”