Phase-Field Formulation for Quantitative Modeling of Alloy Solidification

Abstract

A phase-field formulation is introduced to simulate quantitatively microstructural pattern formation in alloys. The thin-interface limit of this formulation yields a much less stringent restriction on the choice of interface thickness than previous formulations and permits to eliminate non-equilibrium effects at the interface. Dendrite growth simulations with vanishing solid diffusivity show that both the interface evolution and the solute profile in the solid are well resolved.

Cited by in corpus (77)

• Quantitative Phase Field Model 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
• Diffuse-interface model for rapid phase transformations in nonequilibrium systems
• Nucleation and Bulk Crystallization in Binary Phase Field Theory
• Finite Interface Dissipation Phase Field Modeling of Ni-Nb under Additive Manufacturing Conditions
• On the primary spacing and microsegregation of cellular dendrites in laser deposited Ni-Nb alloys
• Solute trapping and diffusionless solidification in a binary system
• Phase-Field Approach for Faceted Solidification
• Eutectic colony formation: A phase field study
• Adaptive mesh computation of polycrystalline pattern formation using a renormalization-group reduction of the phase-field crystal model
• Phase-field modelling of solute trapping during rapid solidification of a Si-As alloy
• Crossover Scaling of Wavelength Selection in Directional Solidification of Binary Alloys
• Phase-field approach to polycrystalline solidification including heterogeneous and homogeneous nucleation
• Toward Quantitative Phase-field Modeling of Dendritic Electrodeposition
• Lattice Boltzmann simulations of 3D crystal growth: Numerical schemes for a phase-field model with anti-trapping current
• Towards a quantitative phase-field model of two-phase solidification
• Thermodynamic phase-field model for microstructure with multiple components and phases: the possibility of metastable phases
• Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys
• Amplitude equations for polycrystalline materials with interaction between composition and stress
• Simulation and analysis of $\gamma$-Ni cellular growth during laser powder deposition of Ni-based superalloys
• Design rules for liquid crystalline electrolytes for enabling dendrite-free lithium metal batteries
• Strongly out-of-equilibrium columnar solidification during the Laser Powder-Bed Fusion additive manufacturing process
• Microstructural Pattern Formation during Far-from-Equilibrium Alloy Solidification
• Microscopic Treatment of Solute Trapping and Drag
• Three dimensional thermal-solute phase field simulation of binary alloy solidification
• Improved phase-field models of melting and dissolution in multi-component flows
• Kinetic cross coupling between non-conserved and conserved fields in phase field models
• Isotropic finite-difference approximations for phase-field simulations of polycrystalline alloy solidification
• Phase Field Benchmark Problems for Dendritic Growth and Linear Elasticity
• Formation of Nb-rich droplets in laser deposited Ni-matrix microstructures
• Stability of hexagonal solidification patterns
• Tensorial mobilities for accurate solution of transport problems in models with diffuse interfaces
• Ternary eutectic dendrites: Pattern formation and scaling properties
• Phase-field model of vapor-liquid-solid nanowire growth
• On the role of confinement on solidification in pure materials and binary alloys
• Interface kinetics in phase field models: isothermal transformations in binary alloys and steps dynamics in molecular-beam-epitaxy
• A deep learning approach for the computation of curvature in the level-set method
• Cell Invasion during Competitive Growth of Polycrystalline Solidification Patterns
• Achieving realistic interface kinetics in phase field models with a diffusional contrast
• Uncertainty Analysis of Microsegregation during Laser Powder Bed Fusion
• A diffuse-interface lattice Boltzmann method for the dendritic growth with thermosolutal convection
• A phase-field model of Hele-Shaw flows in the high viscosity contrast regime
• Simulation of temperature, stress and microstructure fields during laser deposition of Ti-6Al-4V
• Accelerating Phase Field Simulations Through a Hybrid Adaptive Fourier Neural Operator with U-Net Backbone
• Spontaneous shrinkage of droplet on wetting surface in phase-field model
• Tusas: A fully implicit parallel approach for coupled phase-field equations
• Variational quantitative phase-field modeling of nonisothermal sintering process
• Simulation of coarsening in two-phase systems with dissimilar mobilities
• Classical nucleation theory in the phase-field crystal model
• A ternary phase-field model for two-phase flows in complex geometries
• Onsager approach to 1D solidification problem and its relation to phase field description
• Feedback control of unstable cellular solidification fronts
• Comparing mesoscopic models for dendritic growth
• Orientation selection in alloy dendritic evolution during melt-pool solidification
• Phase-field model of alloy solidification far from chemical equilibrium at the solid-liquid interface
• An efficient and quantitative phase-field model for elastically heterogeneous two-phase solids based on a partial rank-one homogenization scheme
• Elimination of surface diffusion in the non-diagonal phase field model
• Numerical study of the shape and integral parameters of a dendrite
• Phase-field modeling of microstructure evolution: Recent applications, perspectives and challenges
• Sharp-Interface Limit of a Fluctuating Phase-Field Model
• Two-speed phase dynamics in Si(111) (7x7)-(1x1) phase transition
• Focusing the Latent Heat Release in 3D Phase Field Simulations of Dendritic Crystal Growth
• Phase-field-crystal modeling of the (2x1)-(1x1) phase-transitions of Si(001) and Ge(001) surfaces
• Mapping of Microstructure Transitions during Rapid Alloy Solidification Using Bayesian-Guided Phase-Field Simulations
• A Numerical Method for Sharp-Interface Simulations of Multicomponent Alloy Solidification
• Efficient and quantitative phase field simulations of polycrystalline solidification using a vector order parameter
• Effects of isotherm patterns on cellular interface morphologies of melt pool origin
• The criterion of planar instability in alloy solidification under varying conditions: A viewpoint from free energy
• Controlling solid-liquid interfacial energy anisotropy through the isotropic liquid
• First Principles Validation of Energy Barriers in Ni${}_{75}$Al${}_{25}$
• Phase-Field Model of Freeze Casting
• Scaling laws for two-dimensional dendritic crystal growth in a narrow channel
• How Channel Segregates Originates: The Flow of Accumulated Impurity Clusters in Solidifying Steels
• Multiscale prediction of microstructure length scales in metallic alloy casting
• Quantitative phase field modeling of solute trapping and continuous growth kinetics in rapid solidification
• Benchmarking of Massively Parallel Phase-Field Codes for Directional Solidification