A quantitative phase-field model combining with front-tracking method for polycrystalline solidification of alloys

Chen, Yun; Qi, Xin; Li, Dian Zhong; Kang, Xing; Xiao, Naiqi G.

doi:10.1016/j.commatsci.2015.04.003

Cited by 16 publications

(4 citation statements)

References 42 publications

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“…The tip growth velocity V tip , measured according to the positions of the isolines φ = 0.5 of the dendrites, is plotted as a function of solidification time in Figure 16. It can be observed that the tip velocities at different orientations coincide, which indicates that the growth is independent of the initial orientation, and the results are consistent with the simulation results in Chen et al [52], providing further verification of our new model. To investigate the accuracy of the implementation of the present phase-field model, simulations were performed for different values of initial orientation for free dendritic growth in an undercooled melt.…”

Section: Effect Of Initial Orientationsupporting

confidence: 89%

Development and Numerical Testing of a Model of Equiaxed Alloy Solidification Using a Phase Field Formulation

Al Azad,

Cardiff,

Browne

2023

Metals

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A computational framework is developed to understand the transient behavior of isothermal and non-isothermal transformation between liquid and solid phases in a binary alloy using a phase-field method. The non-isothermal condition was achieved by applying a thermal gradient along the computational domain. The bulk solid and liquid phases were treated as regular solutions, along with introducing an order parameter (phase field) as a function of space and time to describe the interfacial region between the two phases. An antitrapping flux term was integrated into the present phase-field model to mitigate the amount of solute trapping, which is characterized by the non-equilibrium partitioning of the solute. The governing equations for the phase field and the solute composition were solved by the cell-centered finite volume method using the open-source computational tool OpenFOAM. Simulations were carried out for the evolution of equiaxed dendrites inside an undercooled melt of a binary alloy, considering the effect of various computational parameters such as interface thickness, strength of crystal anisotropy, stochastic noise amplitude, and initial orientation. The simulated results show that the solidification morphology is sensitive to the magnitude of anisotropy as well as the amplitude of noise. A strong influence of interface thickness on the growth morphology and solute redistribution during solidification was observed. Incorporating antitrapping flux resulted in the solute partitioning close to the equilibrium value. Simulations show that the grain shape is unaffected by changes to crystallographic orientation with respect to the Cartesian computational grid. Thermal gradients exerted discernible effects on the solute distribution and the dendritic growth pattern. Starting with multiple nucleation events the model predicted realistic polycrystalline solidification and as-solidified microstructure.

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Section: Effect Of Initial Orientationsupporting

confidence: 89%

Development and Numerical Testing of a Model of Equiaxed Alloy Solidification Using a Phase Field Formulation

Al Azad,

Cardiff,

Browne

2023

Metals

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“…This deficiency may be solved using the front tracking method to calculate the orientation proposed in the ref. 44 when the grain boundary energy and rotation change of crystal orientation are included into their model.…”

Section: Discussionmentioning

confidence: 99%

Modeling of coupled motion and growth interaction of equiaxed dendritic crystals in a binary alloy during solidification

Chen

Kang

et al. 2017

Sci Rep

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Motion of growing dendrites is a common phenomenon during solidification but often neglected in numerical simulations because of the complicate underlying multiphysics. Here a phase-field model incorporating dendrite-melt two-phase flow is proposed for simulating the dynamically interacted process. The proposed model circumvents complexity to resolve dendritic growth, natural convection and solid motion simultaneously. Simulations are performed for single and multiple dendritic growth of an Al-based alloy in a gravity environment. Computing results of an isolated dendrite settling down in the convective supersaturated melt shows that solid motion is able to overwhelm solutal convection and causes a rather different growth morphology from the stationary dendrite that considers natural convection alone. The simulated tip growth dynamics are correlated with a modified boundary layer model in the presence of melt flow, which well accounts for the variation of tip velocity with flow direction. Polycrystalline simulations reveal that the motion of dendrites accelerates the occurrence of growth impingement which causes the behaviors of multiple dendrites are distinct from that of single dendrite, including growth dynamics, morphology evolution and movement path. These polycrystalline simulations provide a primary understanding of the sedimentation of crystals and resulting chemical homogeneity in industrial ingots.

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“…The combination of phase field and temperature field, flow field, solute field and external action field can truly simulate the macro and microstructure changes in the solidification process. In recent years, the adaptive variable grid and parallel algorithms [81][82][83][84] were proposed, and PF method has been greatly improved, showing strong development potential and application prospect, and has become one of the most successful techniques for material microstructure simulation.…”

Section: Stochastic Simulation Methodsmentioning

confidence: 99%

Progress in numerical simulation of casting process

Chen

Zhao

et al. 2022

Measurement and Control

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The numerical simulation of casting process can calculate casting filling process, solidification process, and obtain change and coupling information of temperature field, velocity field, pressure field, stress field and microstructure. At present, numerical simulation of casting process has been quite mature at the macro level, and is developing towards the direction of micro level. The coupling and integration of different fields between temperature, flow, stress, and microstructure, is the shape of things for numerical simulation research of casting process. This paper reviews and summarizes the research history and current situation of numerical simulation of casting process. The progress in numerical simulation from five aspects of casting solidification, casting filling, stress field, microstructure, commercial software, is presented.

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A quantitative phase-field model combining with front-tracking method for polycrystalline solidification of alloys

Cited by 16 publications

References 42 publications

Development and Numerical Testing of a Model of Equiaxed Alloy Solidification Using a Phase Field Formulation

Development and Numerical Testing of a Model of Equiaxed Alloy Solidification Using a Phase Field Formulation

Modeling of coupled motion and growth interaction of equiaxed dendritic crystals in a binary alloy during solidification

Progress in numerical simulation of casting process

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