Non-uniplanar competitive growth of columnar dendritic grains during directional solidification in quasi-2D and 3D configurations

Guo, Chunwen; Li, Junjie; Wang, Zhijun; Wang, Jincheng

doi:10.1016/j.matdes.2018.04.034

Cited by 26 publications

(5 citation statements)

References 33 publications

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“…Interactions between crystals in the solidification process in real 3D physical space are more likely to appear between different layers. This effect cannot be simulated by a 2D model [25,26]. When the fluid flow is taken into consideration, the differences in the flow pattern in front of dendrite tips lead to the differences of dendrite growth behavior between 2D and 3D simulations [27].…”

Section: Discussionmentioning

confidence: 99%

The Interaction between Grains during Columnar-to-Equiaxed Transition in Laser Welding: A Phase-Field Study

Xiong

Wang

et al. 2020

Metals

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A phase-field model was applied to study CET (columnar-to-equiaxed transition) during laser welding of an Al-Cu model alloy. A parametric study was performed to investigate the effects of nucleation undercooling for the equiaxed grains, nucleation density and location of the first nucleation seed ahead of the columnar front on the microstructure of the fusion zone. The numerical results indicated that nucleation undercooling significantly influenced the occurrence and the time of CET. Nucleation density affected the occurrence of CET and the size of equiaxed grains. The dendrite growth behavior was analyzed to reveal the mechanism of the CET. The interactions between different grains were studied. Once the seeds ahead of the columnar dendrites nucleated and grew, the columnar dendrite tip velocity began to fluctuate around a value. It did not decrease until the columnar dendrite got rather close to the equiaxed grains. The undercooling and solute segregation profile evolutions of the columnar dendrite tip with the CET and without the CET had no significant difference before the CET occurred. Mechanical blocking was the major blocking mechanism for the CET. The equiaxed grains formed first were larger than the equiaxed grains formed later due to the decreasing of undercooling. The size of equiaxed grain decreased from fusion line to center line. The numerical results were basically consistent with the experimental results obtained by laser welding of a 2A12 Al-alloy.

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Section: Discussionmentioning

confidence: 99%

The Interaction between Grains during Columnar-to-Equiaxed Transition in Laser Welding: A Phase-Field Study

Xiong

Wang

et al. 2020

Metals

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“…The results are interesting but quite complex, the reason why we refer the reader to the original article for more details. Guo et al [331] presented a 3D PF study of columnar grain competition due to secondary and tertiary branching behaviour in diverging grain boundaries with various crystallographic orientations. However, these authors did not consider a rotation of secondary branches.…”

Section: Grain Competitionmentioning

confidence: 99%

Progress in modelling solidification microstructures in metals and alloys. Part II: dendrites from 2001 to 2018

Kurz

Rappaz

Trivedi

2020

International Materials Reviews

130

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This is the first account of the history of modelling dendritic and cellular solidification. While Part I reviewed the progress up to the year 2000 [Kurz W, Fisher DJ, Trivedi R. Progress in modelling solidification microstructures in metals and alloys: dendrites from 1700 to 2000. Intern Mater Rev. 201964:311-354], Part II retraces our modelling capabilities developed during the early years of the present century. Advances in in-situ X-ray observations of solidification of metallic alloys are also presented. While the most important contributions are mentioned, the authors are aware that such a historical review must leave many worthy articles by the wayside. This overview considers dendrite tip growth and morphology, rapid solidification, melt flow, fragmentation, columnar-to-equiaxed transition, dendrite spacings, coalescence, grain competition, and cellular growth. Modelling across the length scales from nano-up to macroscopic solidification phenomena by massive phase field computations or multiscale approaches show the potential for the simulation of real processes such as additive manufacturing, single crystal casting, welding or advanced solidification processes.

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“…[10] Numerous scholars have conducted more systematic studies on the process, mechanism, and control of the competitive growth of directionally solidified grains by means of phase field simulations. [11][12][13] In the above-mentioned studies, the elimination mechanisms in grain boundaries have been extensively described, whereas the influence of the presence of convection in grain boundaries on the evolution of bi-crystal competition has been neglected, and the dendrite morphology under pure diffusion conditions is somewhat different from the real situation when convection is present. In a recent study, Pavan et al [14] used a multi-phase field model to investigate the competition for the growth of columnar dendrites under melt convection conditions.…”

Section: Introductionmentioning

confidence: 99%

GPU parallel computation of dendrite growth competition in forced convection using the multi-phase-field-lattice Boltzmann model

2023

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In this study, a GPU-parallel-based computational scheme is developed to realize the competitive growth process of converging bi-crystal in two-dimensional (2D) states in the presence of forced convection conditions by coupling a multi-phase field model and a lattice Boltzmann model (LBM). The elimination mechanism in the evolution process is analyzed for the three conformational schemes constituting converging bi-crystals under pure diffusion and forced convection conditions, respectively, expanding the study of the competitive growth of columnar dendrites under melt convection conditions. The results show that the elimination mechanism for the competitive growth of converging bi-crystals of all three configurations under pure diffusion conditions follows the conventional Walton-Chalmers model. When there is forced convection with lateral flow in the liquid phase, the anomalous elimination phenomenon of unfavorable dendrites eliminating favorable dendrites occurs in the grain boundaries. In particular, the anomalous elimination phenomenon is relatively strong in conformation 1 and conformation 2 when the orientation angle of unfavorable dendrites is small, and relatively weak in conformation 3. Moreover, the presence of convection increases the tip growth rate of both favorable and unfavorable dendrites in the grain boundary. In addition, the parallelization of the multi-phase-field-lattice Boltzmann model is achieved by designing the parallel computation of the model on the GPU platform concerning the CUDA parallel technique, and the results show that the parallel computation of this model based on the GPU has absolute advantages, and the parallel acceleration is more obvious as the computation area increases.

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Non-uniplanar competitive growth of columnar dendritic grains during directional solidification in quasi-2D and 3D configurations

Cited by 26 publications

References 33 publications

The Interaction between Grains during Columnar-to-Equiaxed Transition in Laser Welding: A Phase-Field Study

The Interaction between Grains during Columnar-to-Equiaxed Transition in Laser Welding: A Phase-Field Study

Progress in modelling solidification microstructures in metals and alloys. Part II: dendrites from 2001 to 2018

GPU parallel computation of dendrite growth competition in forced convection using the multi-phase-field-lattice Boltzmann model

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