This work extends a standard mean-field elastoplastic self-consistent (EPSC) formulation to consider intragranular misorientation distributions and stress fluctuations resulting from the second moments of the stress and lattice spin fields inside the grains. The extended formulation calculates the geometrically necessary dislocation (GND) density along with the underlying backstress fields that influence the activation of slip systems. Introducing GNDs in the evolution of slip resistance renders the formulation non-local. Accuracy and performance of the extended EPSC model is compared with the extended viscoplastic self-consistent (VPSC) formulation [1] in terms of predictions of texture evolution during deformation and recrystallization of a cold drawn copper wire and a compressed iron-carbon alloy.
[1] M. Zecevic, R.A. Lebensohn, R.J. McCabe and M. Knezevic: "Modelling recrystallization textures driven by intragranular fluctuations implemented in the viscoplastic self-consistent formulation". Acta Materialia, 164, 530-546 (2019).
