A probabilistic twin nucleation model for HCP polycrystalline metals

By Irene J. Beyerlein, C. Tomé. Proceedings of the Royal Society A, 2010

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Phenomenological crystal plasticity modeling and detailed micromechanical investigations of pure magnesium (2012, background): “11 Very recently, Beyerlein and co-workers (Beyerlein et al., 2010; Beyerlein and Tomé, 2010) have proposed a probabilistic theory for twin nucleation in HCP polycrystals to address non-Schmid effects.”
On the mechanistic basis of deformation at the microscale in hexagonal close-packed metals (2015, background): “The discrepancy between the deterministic CRSS for twin nucleation and an effort to capture probabilistic effects included in the precise dislocation and twinning dislocation reactions at the grain boundary led Beyerlein and Tome to develop a probabilistic modelling approach [88].”
A crystal plasticity FE model for deformation with twin nucleation in magnesium alloys (2015, background): “…theory (Koehler et al., 1954) assumes nucleation from a perfect crystal lattice, while the heterogeneous theory (Mendelson, 1970; Capolungo and Beyerlein, 2008; Beyerlein and Tome, 2010; Ghazisaeidi and Curtin, 2013) considers the effect of existing defects and microstructure on twinning.”