Phase-field models for microstructure evolution

LQ Chen - Annual review of materials research, 2002 - annualreviews.org
… is coupled to the elastodynamics equation for thedisplacement field. While the evolution of
the displacement fields is driven bythe applied stress or strain, the evolution of the phase field

Phase-field modeling of grain evolutions in additive manufacturing from nucleation, growth, to coarsening

M Yang, L Wang, W Yan - Npj Computational Materials, 2021 - nature.com
phase-field model is developed to simulate grain evolutions during … phase-field model
incorporates a nucleation model based on classical nucleation theory, as well as the initial grain

An introduction to phase-field modeling of microstructure evolution

N Moelans, B Blanpain, P Wollants - Calphad, 2008 - Elsevier
… Therefore, the evolution of complex grain morphologies, typically observed in technical … on
the shape of the grains. The temporal evolution of the phase-field variables is described by a …

Phase-field modeling of grain evolution in additive manufacturing with addition of reinforcing particles

M Yang, L Wang, W Yan - Additive Manufacturing, 2021 - Elsevier
… are of interest due to their fine grain structures and superior mechanical properties. In this
study, a phase-field (PF) model is developed to simulate the grain evolution of TiB 2 /316L …

Effect of grain orientation and grain size on ferroelectric domain switching and evolution: Phase field simulations

S Choudhury, YL Li, C Krill Iii, LQ Chen - Acta materialia, 2007 - Elsevier
… In this paper, we conducted extensive phase field simulations for studying the effect of the
grain orientation, grain boundary and a low ferroelectric transition temperature at the grain

Comparative study of two phase-field models for grain growth

N Moelans, F Wendler, B Nestler - Computational Materials Science, 2009 - Elsevier
… between two grains equals(18) f = κ α β 2 ( ∇ η α ) 2 + ( ∇ η β ) 2 + mf 0 ( η α , η β ) , as
there is no restriction that relates the evolution of the two phase fields. The gradients of the …

Generalized phase-field model for computer simulation of grain growth in anisotropic systems

A Kazaryan, Y Wang, SA Dregia, BR Patton - Physical Review B, 2000 - APS
… In the phase field approach to grain growth, grain boundary … In contrast to the grain boundary
energy, values of the grain … -similar evolution does not occur when grain boundary mobility …

Phase-field simulation of grain boundary evolution in microstructures containing second-phase particles with heterogeneous thermal properties

TF Flint, YL Sun, Q Xiong, MC Smith, JA Francis - Scientific Reports, 2019 - nature.com
… -phase field formulation for the prediction of grain coarsening … grain boundary evolution,
in the vicinity of high energy density sources of heat, with various distributions of second phase

Order parameter re-mapping algorithm for 3D phase field model of grain growth using FEM

CJ Permann, MR Tonks, B Fromm… - Computational Materials …, 2016 - Elsevier
… Several examples of the grain tracker algorithm working with various grain evolution
models on different domain shapes under different conditions were presented and verified by …

Phase field crystal simulations of nanocrystalline grain growth in two dimensions

KA Wu, PW Voorhees - Acta Materialia, 2012 - Elsevier
… embedded between a bicrystal with a symmetric tilt boundary, we find that the evolution
of the embedded grain closely depends on dislocation reactions at triple junctions. …