Modeling of solutal dendritic growth with melt convection

Zhu, Mingfang; Taguchi, Dai; Lee, Sungyoon; Hong, Chun Pyo

doi:10.1016/j.camwa.2007.08.023

Cited by 46 publications

(24 citation statements)

References 21 publications

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“…By the aid of computer numerical simulation of crystal growth during solidification, tremendous advancements on the dendritic crystal growth dynamics and the underlying physical mechanism have been achieved up to date. These numerical approaches, including front-tracking [1][2][3], cellular automaton [4][5][6][7][8][9] methods based on the sharp interface model and the phase-field method [10][11][12][13][14][15][16] based on the diffusive interface model, have been well developed and widely used in simulations on dendritic crystal growth. Due to the negligence of detailed description of the interface layer between solid and liquid, simulations using the sharp interface methods are usually implemented more efficiently than the diffusive interface approach.…”

Section: Introductionmentioning

confidence: 99%

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

Chen

et al. 2015

Computational Materials Science

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Section: Introductionmentioning

confidence: 99%

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

Chen

et al. 2015

Computational Materials Science

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“…Computational analysis, based on the finite element, finite difference, or finite volume methods, is more and more used to effectively investigate and optimize complex manufacturing processes and thermal treatments, allowing the evaluation of properties not always experimentally measurable [1][2][3][4]. In the literature several approaches to quenching process modeling can be found.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of the steel quenching process: Temperature field and solid–solid phase change

Carlone

Palazzo

Pasquino

2010

Computers & Mathematics with Applications

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a b s t r a c tThis paper deals with a finite element analysis of the steel quenching process; regarding the transient temperature field and the thermally induced solid-solid phase transformations. All the process steps, i.e. heating, holding, and cooling, have been considered, modeling both the austenite formation and decomposition and taking into account nucleation and growth processes. The final hardness distribution into the quenched sample has been predicted according to the rule of mixtures, taking into account the chemical composition of the processing material, the final distribution of each phase and the local cooling rate.

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“…Cellular automata (CA) can be applied for modelling the structure within a whole casting [1,2] or within its part [3][4][5][6][7][8][9][10][11][12][13][14][15]. In the first case, the texture across the wall and changes in grain size are modelled, while in the second one -the morphology of individual crystals is predicted.…”

Section: Introductionmentioning

confidence: 99%

“…Calculations give the possibility to follow the sprouting and the evolution of dendrite arms of the first and the subsequent orders in dendrites or the close-coupled growth of phases during the eutectic crystallization, taking into account the interactions between the growing crystallites. It is possible to get information about the topology of the modelled structures and about the microsegregation of the alloying elements both in the liquid and in the solid phase [3][4][5][6][7][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

“…The momentary local shape of the crystallization front is reproduced, and the evolution of the alloy structure is simulated with accuracy to the size of the automaton cell. The modelling is usually performed for the 2D regions [3][4][5][6][7][10][11][12][13][14][15], but the development of the 3D models can be seen during recent years [8,9].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modelling of the Dendritic Crystallization by the Cellular Automaton Method

Zyska¹,

Konopka²,

Łągiewka³

et al. 2016

Archives of Foundry Engineering

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A numerical model of binary alloy crystallization, based on the cellular automaton technique, is presented. The model allows to follow the crystallization front movement and to generate the images of evolution of the dendritic structures during the solidification of a binary alloy. The mathematic description of the model takes into account the proceeding thermal, diffusive, and surface phenomena. There are presented the results of numerical simulations concerning the multi-dendritic growth of solid phase along with the accompanying changes in the alloying element concentration field during the solidification of Al + 5% wt. Mg alloy. The model structure of the solidified casting was achieved and compared with the actual structure of a die casting. The dendrite interaction was studied with respect to its influence on the generation and growth of the primary and secondary dendrite arms and on the evolution of solute segregation both in the liquid and in the solid state during the crystallization of the examined alloy. The morphology of a single, free-growing dendritic crystal was also modelled. The performed investigations and analyses allowed to state e.g. that the developed numerical model correctly describes the actual evolution of the dendritic structure under the non-equilibrium conditions and provides for obtaining the qualitatively correct results of simulation of the crystallization process.

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Modeling of solutal dendritic growth with melt convection

Cited by 46 publications

References 21 publications

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

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

Finite element analysis of the steel quenching process: Temperature field and solid–solid phase change

Modelling of the Dendritic Crystallization by the Cellular Automaton Method

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