Multigrain and Multiphase Mathematical Model for Equiaxed Solidification

Martorano, Marcelo de Aquino; Aguiar, Davi Teves; Arango, Juan Marcelo Rojas

doi:10.1007/s11661-014-2620-7

Cited by 14 publications

(25 citation statements)

References 39 publications

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“…After nucleation, the grains grow as solid spheres and are forced to remain spherical until the radius reaches the stability extrema as suggest by Mullins and Sekerka [14]. Then grains try to grow as dendrites but the transition from spherical to dendritic can occur only when calculated grain envelope fraction f g is larger than solid fraction f s , or the internal solid fraction f i \ 1; otherwise, the grains will continue to grow spherically [11,15].…”

Section: Model Descriptionmentioning

confidence: 98%

“…A more detailed description of the numerical model can be found in [9] and [11], here only its main features are presented. For the initiation of grains on inoculated particles, Greer et al's free growth criterion [4] is adopted.…”

Section: Model Descriptionmentioning

confidence: 99%

“…addition of Al-Ti-B master alloys [1]. There have been continuing efforts to model heterogeneous nucleation and grain growth thus predicting the as-cast grain size of aluminum alloys [2][3][4][5][6][7][8][9][10][11]. For grain nucleation, the free growth criterion [4] proposed by Greer et al is the most frequently adopted model, where the undercooling needed for the initiation of free-growing grains was directly related to the size of potent nucleant particles.…”

Section: Introductionmentioning

confidence: 99%

“…For grain nucleation, the free growth criterion [4] proposed by Greer et al is the most frequently adopted model, where the undercooling needed for the initiation of free-growing grains was directly related to the size of potent nucleant particles. For grain growth, most of the models treated the equiaxed grains either as solid spheres [2-4, 9, 10] or dendritic morphology [7] directly, while only a few models considered both spherical and dendritic growth [6,8,11]. Recently, Martorano et al [11] considered the transition from spherical to dendritic growth in their multigrain and multiphase model based on isothermal melt solidification assumption, in which nucleation was stifled by recalescence.…”

Section: Introductionmentioning

confidence: 99%

“…For grain growth, most of the models treated the equiaxed grains either as solid spheres [2-4, 9, 10] or dendritic morphology [7] directly, while only a few models considered both spherical and dendritic growth [6,8,11]. Recently, Martorano et al [11] considered the transition from spherical to dendritic growth in their multigrain and multiphase model based on isothermal melt solidification assumption, in which nucleation was stifled by recalescence. However, in their model the growth kinetics for dendritic grains was based on parabolic tip approximation [12], which made the transition from globular to dendritic very difficult and GDT even did not happen in most cases they simulated.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Influence of Dendritic Growth of Equiaxed Grains on As-Cast Grain Size Prediction of Inoculated Aluminum Alloys

2015

Trans Indian Inst Met

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Although a significant amount of work has already been devoted to the prediction of as-cast grain size in inoculated aluminum alloys, most models treated the grains either spherical or directly dendritic. The influence of morphology transition from spherical to dendritic and subsequent dendritic grain growth has not been investigated and discussed in detail, especially in non-isothermal melt solidification condition (without recalescence). In this work, we propose a new grain size prediction model in which the morphology transition and dendritic growth are considered. A comparison has been made between forced spherical growth model and the one taking into account the morphology transition and dendritic growth. It is demonstrated that spherical growth is an acceptable approximation for well grain refined aluminum alloys in both isothermal and non-isothermal melt solidification. The difference in the predicted grain sizes based on the two different grain growth models is small. However, for not well grain refined aluminum alloys, e.g. low inoculation addition level or/and at low cooling rate condition, the dendritic grain growth model has a more significant influence on the predicted grain size and it is important to take it into consideration.

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Section: Model Descriptionmentioning

confidence: 98%

Section: Model Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Influence of Dendritic Growth of Equiaxed Grains on As-Cast Grain Size Prediction of Inoculated Aluminum Alloys

2015

Trans Indian Inst Met

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Revealing the Heterogeneous Nucleation and Growth Behaviour of Grains in Inoculated Aluminium Alloys During Solidification

Casari

Mathiesen

et al. 2019

The Minerals, Metals &Amp; Materials Series

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An in-situ X-ray radiographic study on the grain nucleation and grain growth of inoculated Al-10Cu and Al-20Cu alloys during isothermal melt solidification and directional solidification conditions with constant cooling rates has been carried out. The influence of addition level of inoculation particles, cooling rates, and temperature gradient on the nucleation rate and growth kinetics of grains have been quantitatively studied. The deterministic nature of the heterogeneous nucleation of aluminium grain on inoculant particles is revealed. Numerical microstructure models have been developed to simulate the nucleation and growth behavior of aluminum grains and a good agreement between the experimental results and simulation results has been achieved.

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A Thermodynamic Study on the Effect of Solute on the Nucleation Driving Force, Solid–Liquid Interfacial Energy, and Grain Refinement of Al Alloys

Zhao

2018

Metall Mater Trans A

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Chemical composition is known to have significant effects on the grain refinement behavior of inoculated Al alloys during solidification. In this study, the influences of solute contents on the thermodynamic nucleation driving force and solid-liquid interfacial energy of binary Al alloys have been studied by CALPHAD method. The solute effect on the nucleation barrier and nucleation rate, thus on the grain refinement of Al alloys both with and without high potency nucleation particles, was analyzed based on the classical heterogeneous nucleation theory and free growth concept. Based on the classical heterogeneous nucleation theory, the calculation results reveal that Si has the effect of increasing the nucleation barrier of heterogeneous nucleation of grains and thus reduce the nucleation rate significantly. Alloying elements Cu and Mg have the effect of promoting heterogeneous nucleation and grain refinement. However, peritectic forming elements, e.g., Ti, Zr, V, have only negligible effects on the nucleation barrier. For solidification of Al alloys inoculated with high potency nucleation particles, the effect of nucleation driving force caused by different solute elements on the grain size of inoculated aluminum alloys has been quantitatively studied by a grain size prediction model for isothermal melt solidification. It is revealed that the solute dependent Gibbs-Thompson coefficients of Al-Cu, Al-Mg and Al-Si alloys have the influence of promoting the grain refinement by reducing the free growth undercooling.

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Multigrain and Multiphase Mathematical Model for Equiaxed Solidification

Cited by 14 publications

References 39 publications

Influence of Dendritic Growth of Equiaxed Grains on As-Cast Grain Size Prediction of Inoculated Aluminum Alloys

Influence of Dendritic Growth of Equiaxed Grains on As-Cast Grain Size Prediction of Inoculated Aluminum Alloys

Revealing the Heterogeneous Nucleation and Growth Behaviour of Grains in Inoculated Aluminium Alloys During Solidification

A Thermodynamic Study on the Effect of Solute on the Nucleation Driving Force, Solid–Liquid Interfacial Energy, and Grain Refinement of Al Alloys

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