A novel integrated model combining Cellular Automata and Phase Field methods for microstructure evolution during solidification of multi-component and multi-phase alloys

Tan, Wenda; Bailey, Neil S.; Shin, Yung C.

doi:10.1016/j.commatsci.2011.03.044

Cited by 69 publications

(59 citation statements)

References 61 publications

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“…An interface cell turns to solid when its solid fraction f s , which is updated according to Eq. [17], [23] reaches 1.…”

Section: Calculation Of Dendrite Growthmentioning

confidence: 91%

“…Therefore, a two-dimensional microscale model, which has integrated a CA model with a PF model, [23] is used to investigate the dendritic growth during the solidification. In this integrated model, a CA model is built to track the dendritic evolution and associated solute redistribution of the entire domain, whereas the PF model is built to calculate the local growth kinetics for the CA interface cell.…”

Section: Microscale Modeling Of Dendritic Growth In the Molten Poolmentioning

confidence: 99%

“…However, the PF simulations were all limited to small regions because of the high computational cost. Based on the development of CA and PF models, a novel methodology that couples the two methods has been established by Tan et al [23] efficiency of the CA model with the thermodynamic principles of the PF model, and therefore it can produce quantitative prediction with an affordable computational cost. In the current work, a series of laser cladding processes has been simulated by a multiscale model, where the two submodels are implemented in a decoupled way.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Multiscale Modeling of Transport Phenomena and Dendritic Growth in Laser Cladding Processes

Tan

Wen

Bailey

et al. 2011

Metall Mater Trans B

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A multiscale model is developed in this article to investigate the transport phenomena and dendrite growth in the diode-laser-cladding process. A transient model with an improved levelset method is built to simulate the heat/mass transport and the dynamic evolution of the molten pool surface on the macroscale. A novel model integrating the cellular automata (CA) and phase field (PF) methods is used to simulate the dendritic growth of multicomponent alloys in the mushy zone. The multiscale model is validated against the experiments, and the predicted geometry of clad tracks and the predicted dendrite arm spacing of microstructure match reasonably well with the experimental results. The effects of the processing parameters on the track geometry and microstructure are also investigated.

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“…An interface cell turns to solid when its solid fraction f s , which is updated according to Eq. [17], [23] reaches 1.…”

Section: Calculation Of Dendrite Growthmentioning

confidence: 91%

Section: Microscale Modeling Of Dendritic Growth In the Molten Poolmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multiscale Modeling of Transport Phenomena and Dendritic Growth in Laser Cladding Processes

Tan

Wen

Bailey

et al. 2011

Metall Mater Trans B

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“…Therefore, the half length of the square diagonal Ldia is updated as follows [9,35,36]: The magnitude of V n is determined as follows [7]:…”

Section: Ca Modelmentioning

confidence: 99%

Development of a CA-FVM Model with Weakened Mesh Anisotropy and Application to Fe–C Alloy

2016

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Abstract:In order to match the growth of the decentered square and the evolution of the interface cell in a two-dimensional cellular automaton-finite volume method (CA-FVM) model with decentered square algorithm, the present work first alters the determination of the half length of the square diagonal according to the preferential growth orientation, and then modifies the interface evolution considering the contribution of neighboring solid cells. Accordingly, the sharp interface (physical basis of the model), the growth orientation, and the growth consistence are reasonably guaranteed. The CA-FVM model presents some capabilities in predicting the free growth of equiaxed dendrites. With the increase of the cooling rate, the solidification structure gradually changes from cell to dendrite, and the solute segregation becomes more severe. Meanwhile, the predicted solute segregation under the intensive cooling condition is consistent with the calculation by Ueshima model at the initial solidification stage. The predicted competition behavior of columnar dendrites is qualitatively consistent with the observation in the continuously cast steel billet. The predicted dendrite arm spacings are close to the measurements.

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“…Multiscale, multiphysics numerical modeling turns out to be essential for accurately predicting the evolution of interfaces during the process of fusion welding. Although a variety of related numerical models has been developed separately at different scales for welding, such as models on atomic scale, 1,2 microscale, 3,4 and macroscale, 5,6 they have not been successfully integrated. 7 There has been some multiscale multiphysics modeling work carried out in the field of casting solidification, [8][9][10] but in comparison, the corresponding work in the field of welding is relatively rare.…”

Section: Introductionmentioning

confidence: 99%

Multiscale, Multiphysics Numerical Modeling of Fusion Welding with Experimental Characterization and Validation

Tong

Duggan

Liu

et al. 2012

JOM

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Various physical interfacial phenomena occur during the process of welding and influence the final properties of welded structures. As the features of such interfaces depend on physics that resolve at different spatial scales, a multiscale and multiphysics numerical modeling approach is necessary. In a collaborative research project Modeling of Interface Evolution in Advanced Welding, a novel strategy of model linking is employed in a multiscale, multiphysics computational framework for fusion welding. We only directly link numerical models that are on neighboring spatial scales instead of trying to link all submodels directly together through all available spatial scales. This strategy ensures that the numerical models assist one another via smooth data transfer, avoiding the huge difficulty raised by forcing models to attempt communication over many spatial scales. Experimental activities contribute to the modeling work by providing valuable input parameters and validation data. Representative examples of the results of modeling, linking and characterization are presented.

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A novel integrated model combining Cellular Automata and Phase Field methods for microstructure evolution during solidification of multi-component and multi-phase alloys

Cited by 69 publications

References 61 publications

Multiscale Modeling of Transport Phenomena and Dendritic Growth in Laser Cladding Processes

Multiscale Modeling of Transport Phenomena and Dendritic Growth in Laser Cladding Processes

Development of a CA-FVM Model with Weakened Mesh Anisotropy and Application to Fe–C Alloy

Multiscale, Multiphysics Numerical Modeling of Fusion Welding with Experimental Characterization and Validation

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