Multi-phase-field simulation of cyclic phase transformation in Fe-C-Mn and Fe-C-Mn-Si alloys

Phase-field modeling for pH-dependent general and pitting corrosion of iron

“…Conversely, the phase-field (PF) method recently attracted attention as a powerful computational method that simulates a spatiotemporal evolution of material surface driven by electrochemical reactions. The PF method was originally developed as a computational methodology to simulate microstructure evolutions in solidification 8 , 9 , grain growth 10 , 11 , and solid phase transformations 12 – 16 in materials without the explicit tracking of moving grain boundaries and solid/liquid interfaces. As a pioneering study on the application of the PF model to simulate electrochemical reactions, Guyer et al .…”

Computational thermodynamics and microstructure simulations to understand the role of grain boundary phase in Nd-Fe-B hard magnets

“…Temporal evolution of liquid phase formation along the grain boundary region was simulated based on the phase-field method proposed in our previous work [30]. Detailed calculation methods are described in references [30,31]. The Gibbs energy parameters and material parameters utilized in this study are summarized in Appendix A.…”

A phase-field model investigating the role of elastic strain energy during the growth of closely spaced neighbouring interphase precipitates

“…[15]. The interfacial energy is taken as isotropic, σ = 5 × 10 −5 J/cm 2 for the interface between ferrite and austenite [29]. The interface between precipitates and austenite γ and ferrite α are assumed to be semi-coherent with similar interfacial energies of σ = 2 × 10 −5 J/cm 2 and σ = 2.5 × 10 −5 J/cm 2 , respectively.…”