Phase Field Simulation of Solidified Multiple Grains

2012 ◽  
Vol 602-604 ◽  
pp. 1874-1877
Author(s):  
Hong Min Guo ◽  
Tao Wei ◽  
Xiang Jie Yang
Keyword(s):  
Latent Heat ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Dendrite Growth ◽  
Competitive Growth ◽  
Equiaxed Dendrite ◽  
Isothermal Conditions ◽  
Cu Alloy ◽  
Field Simulation

A phase-field model based on the Ginzburg-Landan theory and KKS model is used to simulate the dendrite growth of multiple grains for Al-Cu alloy. The influence of solidification latent heat and undercooling on the growth of equiaxed dendrite, solute distribution and temperature distribution were studied. The results show that the dendrite has well-developed and the competitive growth between grains more intense with the increasing of undercooling. The release of solidification latent heat restrain dendrite growth to a certain extent, which led to the less developed growth of dendrite solidified in non-isothermal conditions than that in isothermal conditions.

Phase-Field Simulation of Three-Dimensional Dendritic Growth

2010 ◽  
Vol 97-101 ◽  
pp. 3769-3772 ◽  
Author(s):  
Chang Sheng Zhu ◽  
Jun Wei Wang
Keyword(s):  
Computational Methods ◽  
Phase Field ◽  
Interfacial Energy ◽  
Dendritic Growth ◽  
Field Model ◽  
Three Dimensional ◽  
Phase Field Model ◽  
Computational Time ◽  
Field Simulation ◽  
Undercooled Melt

Based on a thin interface limit 3D phase-field model by coupled the anisotropy of interfacial energy and self-designed AADCR to improve on the computational methods for solving phase-field, 3D dendritic growth in pure undercooled melt is implemented successfully. The simulation authentically recreated the 3D dendritic morphological fromation, and receives the dendritic growth rule being consistent with crystallization mechanism. An example indicates that AADCR can decreased 70% computational time compared with not using algorithms for a 3D domain of size 300×300×300 grids, at the same time, the accelerated algorithms’ computed precision is higher and the redundancy is small, therefore, the accelerated method is really an effective method.

A Phase-Field Model of Dendrite Growth of Electrodeposited Zinc

2019 ◽  
Vol 166 (10) ◽  
pp. D389-D394 ◽  
Author(s):  
Keliang Wang ◽  
Yu Xiao ◽  
Pucheng Pei ◽  
Xiaotian Liu ◽  
Yichun Wang
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Dendrite Growth

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

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.

Phase Field Simulation of Parameters Affecting Dendrite Growth in a Forced Flow

2011 ◽  
Vol 228-229 ◽  
pp. 44-49
Author(s):  
Xun Feng Yuan ◽  
Yu Tian Ding
Keyword(s):  
Flow Velocity ◽  
Phase Field ◽  
Dendritic Growth ◽  
Field Model ◽  
Phase Field Model ◽  
Pure Metal ◽  
Dendrite Growth ◽  
Forced Flow ◽  
Low Flow ◽  
Tip Radius

The phase-field model coupled with a flow field was used to simulate the dendrite growth in the undercooled pure metal melt. The effects of flow velocity, supercooling and anisotropy on the dendritic growth were studied. Results indicate that melt flow can enhance the emergence of side-branches, the morphology of the dendrite was composed of the principal branches and side-branches. With an increase in flow velocity and supercooling, the velocity of upstream dendritic tip increases, but the tip radius decreases first and then increases. With an increase in anisotropy values, the velocity of upstream dendritic tip increases and the tip radius decreases. The results of calculation agreed with LMK theory in the case of low flow velocity and anisotropy.

Phase-Field Numerical Simulation of Pure Free Dendritic Growth Using Wheeler and Karma Model

2011 ◽  
Vol 421 ◽  
pp. 90-97 ◽  
Author(s):  
Yun Chen ◽  
Na Min Xiao ◽  
Xiu Hong Kang ◽  
Dian Zhong Li
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Dendrite Growth ◽  
Adaptive Finite Element Method ◽  
Adaptive Finite Element ◽  
Two Phase ◽  
Phase Field Models ◽  
Careful Comparison ◽  
Undercooled Melts

To understand the dendrite formation during solidification phase-field model has become a powerful numerical method of simulating crystal growth in recent years. Two phase-field models due to Wheeler et al. and Karma et al., respectively, have been employed for modeling the dendrite growth worldwidely. The comparison of the two models was performed. Then using the adaptive finite element method, both models were solved to simulate a free dendrite growing from highly undercooled melts of nickel at various undercoolings. The simulated results showed that the discrepancy between the two phase-field models is negligible. Careful comparison of the phase-filed simulations with LKT(BCT) theory and experimental data were carried out, which demonstrated that the phase-field models are able to quantitatively simulate the dendrite growth of nickel at low undercoolings, however, at undercoolings above ten percent of the melting point (around 180K), the simulated velocities by Wheeler and Karma model as well as the analytical predictions overestimated the reported experiment results.

2D Phase-Field Simulation of the Directional Solidification Process

2014 ◽  
Vol 704 ◽  
pp. 17-21 ◽  
Author(s):  
Alexandre Furtado Ferreira ◽  
José Adilson de Castro ◽  
Ivaldo Leão Ferreira
Keyword(s):  
Directional Solidification ◽  
Phase Field ◽  
Field Model ◽  
Solid Phase ◽  
Morphological Evolution ◽  
Phase Field Model ◽  
Columnar Dendrite ◽  
Liquid Region ◽  
Field Equations ◽  
Cu Alloy

The microstructure evolution during the directional solidification of Al-Cu alloy is simulated using a phase field model. The transformation from liquid to solid phase is a non-equilibrium process with three regions (liquid, solid and interface) involved. Phase field model is defined for each of the three regions. The evolution of each phase is calculated by a set of phase field equations, whereas the solute in those regions is calculated by a concentration equation. In this work, the phase field model which is generally valid for most kinds of transitions between phases, it is applied to the directional solidification problem. Numerical results for the morphological evolution of columnar dendrite in Al-Cu alloy are in agreement with experimental observations found in the literature. The growth velocity of the dendrite tip and the concentration profile in the solid, interface and liquid region were calculated.

Phase Field Modeling of Solute Trapping in a Al-Sn Alloy during Rapid Solidification

2014 ◽  
Vol 794-796 ◽  
pp. 740-745 ◽  
Author(s):  
Xiong Yang ◽  
Li Jun Zhang ◽  
Yong Du
Keyword(s):  
Rapid Solidification ◽  
Phase Field ◽  
Field Model ◽  
Kinetic Equations ◽  
Phase Field Model ◽  
Interface Velocity ◽  
Interface Energy ◽  
Phase Field Simulation ◽  
Solute Trapping ◽  
Field Simulation

During rapid solidification, interfaces are often driven far from equilibrium and the "solute trapping" phenomenon is usually observed. Very recently, a phase field model with finite interface dissipation, in which separate kinetic equations are assigned to each phase concentration instead of an equilibrium partitioning condition, has been newly developed. By introducing the so-called interface permeability, the phase field model with finite interface dissipation can nicely describe solute trapping during solidification in the length scale of micrometer. This model was then applied to perform a phase field simulation in a Al-Sn alloy (Al-0.2 at.% Sn) during rapid solidification. A simplified linear phase diagram was constructed for providing the reliable driving force and potential information. The other thermophysical parameters, such as interface energy and diffusivities, were directly taken from the literature. As for the interface mobility, it was estimated via a kinetic relationship in the present work. According to the present phase field simulation, the interface velocity increases as temperature decreases, resulting in the enhancement of solute trapping. Moreover, the simulated solute segregation coefficients in Al-0.2 at.% Sn can nicely reproduce the experimental data.

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