Theory of orientation gradients in plastically strained crystals

By Dierk Raabe, Z. Zhao, S. Park, Franz Roters. 2002

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Effects of initial orientation, sample geometry and friction on anisotropy and crystallographic orientation changes in single crystal microcompression deformation: A crystal plasticity finite element study (2007, methodology): “This observation matches earlier results on the kinematical origin of the stability of this orientation [23].”
Crystal Plasticity Finite Element Methods: in Materials Science and Engineering (2010, background): “If the strain is homogeneous, this situation leads to different stresses in each crystal (Raabe et al., 2002a, 2004a). τcrit : critical shear stress; σTBH: Taylor–Bishop–Hill stress state (stress required to reach a yield corner). suggested during the last few decades have gradually developed from…”
A dislocation density based constitutive model for crystal plasticity FEM including geometrically necessary dislocations (2006, background): “neighborhood [30] is impeded owing to the corresponding introduction of GNDs.”
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications (2010, background): “The aim of these works was to systematically learn which types of grains (texture components) tend to build up large orientation gradients under certain loading states [92,117] (Fig.”