Journal ArticleDOI
Phase-Field Simulation of Solidification
TLDR
An overview of the phase-field method for modeling solidification is presented, together with several example results as mentioned in this paper, which has been applied to a wide variety of problems including dendritic, eutectic, and peritectic growth in alloys; and solute trapping during rapid solidification.Abstract:
▪ Abstract An overview of the phase-field method for modeling solidification is presented, together with several example results. Using a phase-field variable and a corresponding governing equation to describe the state (solid or liquid) in a material as a function of position and time, the diffusion equations for heat and solute can be solved without tracking the liquid-solid interface. The interfacial regions between liquid and solid involve smooth but highly localized variations of the phase-field variable. The method has been applied to a wide variety of problems including dendritic growth in pure materials; dendritic, eutectic, and peritectic growth in alloys; and solute trapping during rapid solidification.read more
Citations
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Journal ArticleDOI
Phase-field models in materials science
TL;DR: In this article, the authors reviewed the application of the phase-field method in different fields of materials science, including elastic interactions and fluid flow in multi-grain multi-phase structures in multicomponent materials.
Journal ArticleDOI
An introduction to phase-field modeling of microstructure evolution
TL;DR: In this article, the authors introduce the concept of diffuse interfaces, the phase-field variables, the thermodynamic driving force for microstructure evolution and the kinetic phasefield equations are discussed.
Book
Nonlinear partial differential equations with applications
TL;DR: In this paper, the authors present a system of equations for evolving pseudomonotone or weakly continuous mappings with set-valued mappings, and a set of auxiliary tools.
Journal ArticleDOI
Materials discovery and design using machine learning
TL;DR: In this paper, the typical mode of and basic procedures for applying machine learning in materials science are outlined and compared, and the current research status is reviewed with regard to applications of ML in material property prediction, in new materials discovery and for other purposes.
Journal ArticleDOI
Modeling elastic and plastic deformations in nonequilibrium processing using phase field crystals.
Ken Elder,Martin Grant +1 more
TL;DR: A continuum field theory approach is presented for modeling elastic and plastic deformation, free surfaces, and multiple crystal orientations in nonequilibrium processing phenomena.
References
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Journal ArticleDOI
Steady state columnar and equiaxed growth of dendrites and eutectic
TL;DR: In this article, an analysis for the growth of equiaxed grains ahead of the columnar front during directional solidification is presented, and the model considers both single-phase and eutectic growth.
Journal ArticleDOI
Model for solute redistribution during rapid solidification
TL;DR: In this article, a microscopic model for impurity uptake at a sharp crystal liquid interface during alloy solidification is presented in terms of the bulk properties of the liquid and solid phases.
Journal ArticleDOI
Phase-field model for isothermal phase transitions in binary alloys
TL;DR: A phase-field model to describe isothermal phase transitions between ideal binary-alloy liquid and solid phases is presented, and an asymptotic analysis as the gradient energy coefficient of the phase field becomes small shows that the model recovers classical sharp-interface models of alloy solidification when the interfacial layers are thin.
Journal ArticleDOI
A phase field concept for multiphase systems
Ingo Steinbach,F. Pezzolla,Britta Nestler,M. Seeßelberg,Robert Prieler,Georg J. Schmitz,João Luiz Lopes Rezende +6 more
TL;DR: In this paper, the phase field theory describing the evolution of a dual phase boundary is extended to multiphase problems: each phase is identified with an individual phase field and the transformation between all pairs of phases is treated with its own characteristics.
Journal ArticleDOI
Phase-field formulation for quantitative modeling of alloy solidification.
TL;DR: A phase-field formulation is introduced to simulate quantitatively microstructural pattern formation in alloys and shows that both the interface evolution and the solute profile in the solid are accurately modeled by this approach.
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