An introduction to phase-field modeling of microstructure evolution

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Finite interface dissipation phase field modeling of Ni–Nb under additive manufacturing conditions (2019, background): “the free energy functional that may consist of local chemical free energy density, interfacial energy density, elastic energy density, electrochemical energy density depending on the studied problem [54–58].”
Hydrogen in zirconium alloys: A review (2019, methodology): “Phase field modeling is a method of choice for studying microstructure evolution at the mesoscale [105,106].”
Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism (2020, methodology): “This is the case, for example, of the Allen-Cahn and Cahn-Hilliard equations of phase-field models [13].”
A phase field model of deformation twinning: Nonlinear theory and numerical simulations (2011, background): “Review articles are available that describe various numerical techniques and applications [7,8].”
Approaches to Modeling of Recrystallization (2011, background): “Phase field modeling in materials science in general is reviewed in [107,108,111] and with particular focus on recrystallization in [4].”