A dislocation-based constitutive law for pure Zr including temperature effects

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Integration of self-consistent polycrystal plasticity with dislocation density based hardening laws within an implicit finite element framework: Application to low-symmetry metals (2013, methodology): “The latter coefficient, kα2, is given by (Beyerlein and Tomé, 2008) kα2 kα1 ¼ χb α gα 1− kT Dαb3 ln _ε _εo : ð6Þ In Eq.”
Multiscale modeling of plasticity based on embedding the viscoplastic self-consistent formulation in implicit finite elements (2012, methodology): “, 2007), designed to capture the strongly anisotropic slip-twin interactions and the use of dislocation-density based hardening models (Beyerlein and Tomé, 2008), which includes grain-size and kinematic hardening effects, along with more accurate linearization assumptions, like the second-order self”