Scaling laws governing the growth and interaction of equiaxed Al-Cu dendrites: A study combining experiments with phase-field simulations

Boukellal, Ahmed Kaci; Debierre, Jean–Marc; Reinhart, Gunther; Nguyen-Thi, Henri

doi:10.1016/j.mtla.2018.04.008

Cited by 23 publications

(59 citation statements)

References 28 publications

(40 reference statements)

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“…Due to the cooling, the supersaturation of the tip is evolving throughout the whole growth process and in principle the tip never grows in a steady-state growth mode. Recently, Boukellal et al [3] studied transient equiaxed growth in confined geometries under similar cooling conditions by phasefield simulations and have shown that σ * can vary by more than 30% of the average value during growth.…”

Section: Impact Of the Three-dimensional Solute Diffusionmentioning

confidence: 99%

“…Modeling is fundamental for the understanding and the prediction of the solidification microstructure. Different numerical approaches exist for the simulation of the dendritic grain evolution at the microscopic scale such as the phase-field modeling, used for both equiaxed [2,3] and columnar grain structures [4], the pseudo front tracking [5], the enthalpy method [6], or the microscopic CA [7]. These numerical approaches achieve a highly-detailed description of the dendritic grain morphology with the drawback of high computational cost, which limits the practicable size of simulation domain.…”

Section: Introductionmentioning

confidence: 99%

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Quantitative 3D mesoscopic modeling of grain interactions during equiaxed dendritic solidification in a thin sample

2019

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A 3D mesoscopic envelope model is used to numerically simulate the experimental X-ray observations of isothermal equiaxed dendritic solidification of a thin sample of Al-20 wt%Cu alloy. We show the evolution of the system composed of multiple grains growing under influence of strong solutal interactions. We emphasize the three-dimensional effects in the thin sample thickness on the growth kinetics, focusing on three aspects: (i) the impact of the third dimension on the solute diffusion, (ii) the influence of the orientation of the preferential grain growth directions 100 on the interactions with the confining sample walls, and (iii) the influence of the grain position along the sample thickness. We demonstrate the importance of considering the three-dimensional structure of the thin samples despite the small thickness. We further show that the mesoscopic envelope model can accurately describe the shape and the time-evolution of the equiaxed grains growing under influence of strong solutal interactions.

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Section: Impact Of the Three-dimensional Solute Diffusionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantitative 3D mesoscopic modeling of grain interactions during equiaxed dendritic solidification in a thin sample

2019

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“…If, during the time step, local undercooling ΔTtυ of the given nucleating υ cell which was still liquid in the preceding time step will exceed the previously assigned nucleation undercooling ΔT υ nuc , then a new grain will be created. The state index of this cell, which has a value of zero when it is in a liquid state, in this case takes a positive integer value, randomly selected from the fixed orientation class numbers [ 23 , 46 ].…”

Section: Methodsmentioning

confidence: 99%

“…They are used to predict the structure on the scale of trial castings and those made with the use of special casting technologies, e.g., casting with directional crystallization of superalloys. These are models named after the methods of solving them: Phase-Field Method, Pseudo Front Taracking and Cellular Automaton Finite Element (CAFE) [ 1 , 4 , 14 , 15 , 27 , 45 , 46 , 47 ]. There are two versions of the CAFE code—2D and 3D—and both codes will be applied in the paper.…”

Section: State Of the Artmentioning

confidence: 99%

Material Databases and Validation in Modelling the Structure of Castings Using the Cellular Automaton Method

et al. 2021

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The paper presents the scope of applicability and the usefulness of the method of predicting crystalline structure of castings using a commercially available system called Calcosoft CAFE. The influence of individual values of the parameters of the thermal model and the model predicting the structure (phenomenon of nucleation and crystal growth), and the method of interpretation of the results were identified. In simulation studies, it is important to use reliable and validated material database, under appropriate conditions. It is necessary to predict the properties of castings with a comprehensive, new and practical approach to modelling the formation of phase components of structure in terms of both macroscale and microscale phenomena (Multiscale and Multiphysics). Therefore, in this paper, the experimental-simulation validation of the CAFE code was undertaken. The tests were carried out on castings solidifying under various heat transfer conditions controlled by mould materials such as: a homogenous mould made of moulding sand, moulding sand with chill, and mould made of insulating mass with chill. These conditions directly influence the structure formation. The method of validation of the structure was determined in terms of its three parameters, i.e., the degree of refinement of the crystals, the location of the columnar-to-equiaxed transition zone—CET and the angle of the crystals. The above tests enabled to extend the content of databases, which often lack the necessary values of parameters used in modelling, e.g., crystallization of a specific alloy under given conditions (sand casting, chills or laser surface treatment). On this basis, the basics of correlating the simulation results on a micro- and macroscale were generalized, the limits of the application of individual parameters (mould, alloy materials) and their impact on the structure formation were determined. It resulted in the extension of the database for simulation calculations.

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“…This model was extended later to the case of a dilute binary alloy [26,27]. Since, many examples of 3D simulations of alloy solidification that give quantitative agreement with the experiments were reported [5][6][7][8]15,28,29], following K. Glasner, we replace the usual phase-field ϕ ∈ [−1, 1] by the preconditioned phase-field…”

Section: Phase-fieldmentioning

confidence: 99%

Oscillatory-nonoscillatory transitions for inclined cellular patterns in three-dimensional directional solidification

et al. 2020

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The oscillatory behavior of cellular patterns produced by directional solidification of a transparent alloy under microgravity conditions was recently observed to depend on the misorientation of the main crystal axis with respect to the direction of the imposed thermal gradient [Pereda et al., Phys. Rev. E 95, 012803 (2017)]. To characterize the oscillatory-nonoscillatory transition resulting from the variations of the crystal misorientation, new experiments performed in DECLIC-DSI onboard the International Space Station and phase-field simulations are analyzed and combined in the present study. Experimental results are extracted from movies showing regions that extend on both sides of a boundary between two grains with respective misorientations of roughly 3 and 7 degrees. A set of tools are developed to analyze the experimental data and the same analysis is reproduced for the numerical data. A number of points are addressed in the simulations, like the effects of the system dimensions. The oscillatory state is found to be favored by the increase of the geometrical degrees of freedom. In bulk samples, a good agreement is found between the experimental and the numerical oscillatory-nonoscillatory threshold given by the ratio of the drift time to the oscillation period at the transition. The existence and the origin of bursts of localized groups of oscillating cells within a globally nonoscillatory pattern are characterized. A qualitative description of the physical mechanism that governs the oscillatory-nonoscillatory transition is provided.

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Scaling laws governing the growth and interaction of equiaxed Al-Cu dendrites: A study combining experiments with phase-field simulations

Cited by 23 publications

References 28 publications

Quantitative 3D mesoscopic modeling of grain interactions during equiaxed dendritic solidification in a thin sample

Quantitative 3D mesoscopic modeling of grain interactions during equiaxed dendritic solidification in a thin sample

Material Databases and Validation in Modelling the Structure of Castings Using the Cellular Automaton Method

Oscillatory-nonoscillatory transitions for inclined cellular patterns in three-dimensional directional solidification

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