Crystal plasticity model with enhanced hardening by geometrically necessary dislocation accumulation

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Modeling Dislocations and Disclinations With Finite Micropolar Elastoplasticity (2006, methodology): “Higher order plasticity theories have been used to explain grain size effects upon hardness or flow stress (Shu and Fleck, 1999; Evers et al., 2002), to predict geometrical characteristics of deformation bands (Aifantis, 1987; Gurtin, 2000), to provide insight into dislocation nucleation criteria…”
Simulation of polycrystal deformation with grain and grain boundary effects (2011, background): “Other versions compute the gradient effect directly but introduce an arbitrary length scale representing the width of the grain boundary (Evers et al., 2002) or avoid the arbitrary length scale by invoking a procedure so computationally intensive that only an idealized single crystal with single…”