Predicting intragranular misorientation distributions in polycrystalline metals using the viscoplastic self-consistent formulation

Abstract

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Multiscale Modeling of Microstructure‐Property Relationships of Polycrystalline Metals during Thermo‐Mechanical Deformation

“…Nevertheless, the stress and strain rate of individual grains differ from that of the HEM. More recent VPSC formulations account for stress and misorientation gradients across ellipsoids/grains . In contrast to self‐consistent models, the upper bound Taylor polycrystal model assumes that the strain rate of each grain is equal to the macroscopic strain rate .…”

On the statistical significance of grain-scale lattice rotation results

“…[1] and mainly concern the experimental and observation conditions; the interested reader may also refer to Refs. [16,20] (and [21][22][23]) regarding further developments on the experimental data presented in Ref. [1], especially in relation to other elements of Ref.…”

Computational Homogenization of Polycrystals

“…Since its inception, the VPSC code has experienced several improvements and extensions, e.g. recrystallization (Wenk et al, 1997); 2-site approximation for 2-phase polycrystals (Lebensohn and Canova, 1997); VPSC modelling of lamellar structures (Lebensohn et al, 1998); relative directional compliance interaction (Tomé, 1999); second-order linearization (Lebensohn et al, 2007); improved VPSC modelling of twinning using the PTR approach (Proust et al, 2007); dislocation density-based hardening models (Beyerlein and Tomé, 2008); climb and glide VPSC model (Lebensohn et al, 2010); dilatational VPSC for porous polycrystals (Lebensohn et al, 2011); lattice rotation rate fluctuation calculation ; improved VPSC for arbitrarily low rate sensitivities (Knezevic et al, 2016b); improved hardening laws for strain-path changes (Wen et al, 2016); VPSC prediction of intragranular misorientation evolution (Zecevic et al, 2017b), etc. The VPSC homogenization strategy is nowadays extensively used to simulate plastic deformation of polycrystalline aggregates and for interpretation of experimental results in metals, minerals and polymers.…”