Numerical Simulation of Binary Alloy Crystal Growth of Multiple Dendrites and Direcitonal Solidification Using Phase-Field Method

Phase field method (PFM) offers the prospect of carrying out realistic numerical calculation on dendrite growth in metallic systems. The dendritic growth process of multiple dendrites and direcitonal solidification during isothermal solidifications in a Fe-0.5mole%C binary alloy were simulated using phase field model. Competitive growth of multiple equiaxed dendrites were simulated, and the effect of anisotropy on the solute segregation and microstructural dedritic growth pattern in directional solidification process was studied in the paper. The simulation results showed the impingement of arbitrarily oriented grains, and the grains began to impinge and coalesce the adjacent grains with time going on, which made the dendrite growth inhibited obviously. In the directional solidification, the maximum concentration gradient showed in the dendrite tip, and highest solute concentration existed at the bottom of the dendrites. With the increasing of the anisotropy, dendrite tip radius became smaller, and the crystal structure is more uniform and dense.

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Numerical Simulation of Binary Alloy Crystal Growth Using Phase-Field Method

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.842.57 ◽

2013 ◽

Vol 842 ◽

pp. 57-60 ◽

Cited By ~ 1

Author(s):

Yan Bo Dong ◽

Ming Chen ◽

Xi Wang

Keyword(s):

Crystal Growth ◽

Directional Solidification ◽

Binary Alloy ◽

Phase Field ◽

Phase Field Model ◽

Solidification Process ◽

Phase Field Method ◽

Columnar Dendrite ◽

Competitive Growth ◽

Directional Solidification Process

The competitive growth of multiple dendrites and crystal growth of directional solidification in a Mg-Al binary alloy were simulated using phase-field model, and the effect of undercooling value on the microstructural dendritic growth pattern in directional solidification process was studied in the paper. The simulation results showed the impingement of the adjacent grains, which made the dendrite growth inhibited in the competitive growth of multiple dendrites, and in directional solidification process, quantitative comparison of different undercooling values that predicted the columnar dendrite evolution were carried out. With the increasing of the undercooling value, the dendrite tip radius and second dendrite arms became smaller, and the crystal structure is more uniform and dense.

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Study on Microstructural Evolution of Binary Alloy Crystal Growth in Directional Solidification Process

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.470.100 ◽

2013 ◽

Vol 470 ◽

pp. 100-103

Author(s):

Dong Sheng Chen ◽

Ming Chen ◽

Rui Chang Wang

Keyword(s):

Crystal Growth ◽

Directional Solidification ◽

Binary Alloy ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Field Method ◽

Phase Field Method ◽

Pure Substance ◽

Columnar Dendrite

PFM (phase field method) was employed to study microstructure evolution, and considering the effect of solute concentration to the undercooling, we developed a phase field model for binary alloy on the basis of pure substance model. In the paper, the temperature field and solute field were coupled together in the phase field model to calculate the crystal growth of magnesium alloy in directional solidification. The simulation results showed a non-planar crystal growth of planar to cellular to columnar dendrite, the comparison of different dendrite patterns were carried out in the numerical simulation, and with the increasing of the anisotropy, the second dendrite arms became more developed.

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Numerical Simulation of Dendrite Growth of Binary Alloy Using Phase-Field Method

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.716-717.133 ◽

2014 ◽

Vol 716-717 ◽

pp. 133-136

Author(s):

Fang Hui Liu ◽

Ming Gao

Keyword(s):

Temperature Gradient ◽

Binary Alloy ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Field Method ◽

Dendrite Growth ◽

Phase Field Method ◽

Dendrite Morphology ◽

Anisotropic Strength

In order to study the growth process and morphology of dendrite directly, a phase field model of binary alloy was established. In this model the order parameter equation was coupled with the temperature field and the solute field. The growing processes and morphology of dendrite were simulated by using this phase field model. Through analyzing the results, we discussed the effects of anisotropic strength and temperature gradient on dendrite morphology. The results shows that with the increasing of anisotropic strength, the dendrite growth rate of the dendrite will increase and the secondary branches appear more clearly. Besides, the temperature gradient has influence on the appearance of secondary arms during the dendrite growing. With the increase of temperature gradient, the size of secondary dendrite arms increase.

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Zone Partitioning Sequential Calculation Method for Three-Dimensional Phase-Field Material Simulation during Directional Solidification

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.723.400 ◽

2016 ◽

Vol 723 ◽

pp. 400-405

Author(s):

Li Feng ◽

Hai Huang Hu ◽

Bei Bei Jia ◽

Gang Gang Wang ◽

Chang Sheng Zhu ◽

...

Keyword(s):

Directional Solidification ◽

Binary Alloy ◽

Phase Field ◽

Calculation Method ◽

Solidification Process ◽

Field Method ◽

New Method ◽

Phase Field Method ◽

Large Area ◽

Fine Mesh

Complex dendritic structures can be simulated directly by phase field method. However, phase field method needs a very fine mesh computing and memory requirements. A new calculation method named zone partitioning sequential calculation method is proposed to expand the simulation area of phase field method. The simulation area can be divided into several parts, and the parts can be calculated one by one in a certain order by the new method. This new method can reduce the computing and memory requirements of single calculation, because a part of the simulation area is less than the whole simulation area. Although this method could make error in the interface of different parts of the simulation area when the grains go through the interface, but the error has less effect on the grain growth. By using phase field method, coupled with zone partitioning sequential calculation method, the simulation of the directional solidification process of Al-Cu binary alloy is operated. The results show that the new method can be applied to phase field simulation of binary alloy solidification in a large area. The simulation results have certain accuracy and reliability.

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Impact on Solidification Dendrite Growth by Interfacial Atomic Motion Time with Phase Field Method

Materials Science Forum ◽

10.4028/www.scientific.net/msf.749.660 ◽

2013 ◽

Vol 749 ◽

pp. 660-667

Author(s):

Yu Hong Zhao ◽

Wei Jin Liu ◽

Hua Hou ◽

Yu Hui Zhao

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Field Method ◽

Dendrite Growth ◽

Atomic Motion ◽

Phase Field Method ◽

Dendrite Morphology ◽

Motion Time ◽

Solidification Processes

The Phase Field model of solidification processes was carried out coupled with temperature field model. The influence of interface atomic time on dendrite growth morphology in undercooled melt was simulated with pure nickel. The experimental results show that when the interface atomic motion time parameter is minor, the liquid-solid interfaces were unstable, disturbance can be amplified easily so the complicated side branches will grow, and the disturbance speed up the dendrite growth. With the increase of , the liquid-solid interfaces become more stable and finally the smooth dendrite morphology can be obtained.

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Simulation of Atypical Dendrite Growth in Ni–Cu Binary Alloy with Phase-Field Method

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2012.2232 ◽

2012 ◽

Vol 9 (9) ◽

pp. 1495-1499 ◽

Cited By ~ 1

Author(s):

Rongzhen Xiao ◽

Zhiping Wang ◽

Changsheng Zhu ◽

Li Feng

Keyword(s):

Binary Alloy ◽

Phase Field ◽

Field Method ◽

Dendrite Growth ◽

Phase Field Method

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Phase Field Model for Influence of Edge Dislocation on Precipitation

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.415-417.1482 ◽

2011 ◽

Vol 415-417 ◽

pp. 1482-1485

Author(s):

Chuang Gao Huang ◽

Ying Jun Gao ◽

Li Lin Huang ◽

Jun Long Tian

Keyword(s):

Edge Dislocation ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Field Method ◽

Phase Field Method ◽

Second Phase ◽

Free Energy Function ◽

Phase Nucleation ◽

Good Agreement

The second phase nucleation and precipitation around the edge dislocation are studied using phase-field method. A new free energy function is established. The simulation results are in good agreement with that of theory of dislocation and theory of non-uniform nucleation.

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