Phase-field modeling of microstructure evolution: Recent applications, perspectives and challenges

Abstract

We briefly review the state-of-the-art in phase-field modeling of microstructure evolution. The focus is placed on recent applications of phase-field simulations of solid-state microstructure evolution and solidification that have been compared and/or validated with experiments. They show the potential of phase-field modeling to make quantitative predictions of the link between processing and microstructure. Finally, some current challenges in extending the application of phase-field models within the context of integrated computational materials engineering are mentioned.

References in corpus (25)

• An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications
• Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations
• Phase-Field Formulation for Quantitative Modeling of Alloy Solidification
• Quantitative phase-field modeling of two-phase solidification
• Unified derivation of phase-field models for alloy solidification from a grand-potential functional
• Ferroelastic Dynamics and Strain Compatibility
• Finite Interface Dissipation Phase Field Modeling of Ni-Nb under Additive Manufacturing Conditions
• Computational Homogenization of Polycrystals
• Precipitation during high temperature aging of Al-Cu alloys: a multiscale analysis based on first principles calculations
• Multiscale Random-Walk Algorithm for Simulating Interfacial Pattern Formation
• Three-dimensional non-isothermal phase-field modeling of microstructure evolution during selective laser sintering
• Three-dimensional dendrite tip morphology at low undercooling
• Multiscale modelling of the morphology and spatial distribution of θ' precipitates in Al-Cu alloys
• Instability in dynamic fracture and the failure of the classical theory of cracks
• Benchmark Problems for Numerical Implementations of Phase Field Models
• Machine learning materials physics: Surrogate optimization and multi-fidelity algorithms predict precipitate morphology in an alternative to phase field dynamics
• A multidisciplinary approach to study precipitation kinetics and hardening in an Al-4Cu (wt. %) alloy
• Crossover Scaling of Wavelength Selection in Directional Solidification of Binary Alloys
• Elastic Deformation of Polycrystals
• Three dimensional thermal-solute phase field simulation of binary alloy solidification
• Kinetic cross coupling between non-conserved and conserved fields in phase field models
• Phase Field Benchmark Problems for Dendritic Growth and Linear Elasticity
• Computationally efficient phase-field studies combining simulation sampling and statistical analysis
• Landau modeling of dynamical nucleation of martensite at grain boundaries under local stress
• Controlling bubble coalescence in metallic foams: A simple phase field-based approach