Growth competition between columnar dendritic grains – Cellular automaton versus phase field modeling

Pineau, A.; Guillemot, Gildas; Tourret, Damien; Karma, Alain; Gandin, Charles‐André

doi:10.1016/j.actamat.2018.05.032

Cited by 73 publications

(72 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such an extension would allow for mapping of entire ranges of crystalline orientations, as well as amplitudes and relative orientations of the temperature gradient and gravity. One could thus investigate the influence of these processing conditions upon the selection of inner grain spacings [18] and that of orientation and roughness of grain boundaries [88][89][90].…”

Section: Discussionmentioning

confidence: 99%

Multiscale dendritic needle network model of alloy solidification with fluid flow

Tourret

François

Clarke

2019

Computational Materials Science

Self Cite

View full text Add to dashboard Cite

We present a mathematical formulation of a multiscale model for solidification with convective flow in the liquid phase. The model is an extension of the dendritic needle network approach for crystal growth in a binary alloy. We propose a simple numerical implementation based on finite differences and step-wise approximations of parabolic dendritic branches of arbitrary orientation. Results of the two-dimensional model are verified against reference benchmark solutions for steady, unsteady, and buoyant flow, as well as steady-state dendritic growth in the diffusive regime. Simulations of equiaxed growth under forced flow yield dendrite tip velocities within 10% of quantitative phase-field results from the literature. Finally, we perform illustrative simulations of polycrystalline solidification using physical parameters for an aluminum-10wt% copper alloy. Resulting microstructures show notable differences when taking into account natural buoyancy in comparison to a purely diffusive transport regime. The resulting model opens new avenues for computationally and quantitatively investigating the influence of fluid flow and gravity-induced buoyancy upon the selection of dendritic microstructures. Further ongoing developments include an equivalent formulation for directional solidification conditions and the implementation of the model in three dimensions, which is critical for quantitative comparison to experimental measurements.

show abstract

Section: Discussionmentioning

confidence: 99%

Multiscale dendritic needle network model of alloy solidification with fluid flow

Tourret

François

Clarke

2019

Computational Materials Science

Self Cite

View full text Add to dashboard Cite

show abstract

“…Chen et al (2016) extend similar methodology to simulate welding processes in a level set approach and model epitaxial grain growth with relevant results. More recently, Pineau et al (2018) compared boundary orientation obtained after grain growth competition to phase field simulations in a wide range of grain orientation angles. The efficiency of CAFE models to mimic these competition mechanisms was demonstrated when relevant cell size is preliminary chosen.…”

Section: A Presentationmentioning

confidence: 99%

A review of microstructural changes occurring during FSW in aluminium alloys and their modelling

Jacquin

Guillemot

2021

Journal of Materials Processing Technology

View full text Add to dashboard Cite

Friction stir welding (FSW) process is currently considered as a promising alternative to join aluminium alloys. Indeed, this solid-state welding technique is particularly recommended for the assembly of these materials. Since parts are not heated above their melting temperature, FSW process may prevent solidification defects encountered in joining aluminium alloys and known as limitations to the dissemination of these materials in industries. During the past years, large literature has been devoted to the modelling of microstructural evolution in aluminium alloys during FSW processes and mainly dedicated to the analysis of precipitate evolutions and grain recrystallization mechanisms. Precipitate size distribution models have aroused widespread interest in recent years demonstrating their relevance to follow precipitation process in multicomponent alloys and multiphase systems. Efficient recrystallization models are also available and based on various grain growth mechanisms. In addition, multi-scale coupling strategies have recently emerged considering thermal, mechanical and metallurgical solutions. Consequently, the effect of FSW process parameters on weld properties is now investigated to determine optimized welding strategies regarding microstructure evolution. This research is based on reliable models reported in the literature enhancing the estimation of final weld state and associated properties as an answer to industrial needs. Validations of proposed modelling strategies have been reported based on in-depth analyses of experimental observations. This present work proposes a review of recent models dedicated to microstructural evolutions in aluminium alloys during FSW process. The interest and efficiency of current approaches will be discussed to highlight their limitations. Guidelines will propose new routes toward enhanced modelling strategies for future developments.

show abstract

“…Growth of the diagonals is computed by integration over time of a growth kinetic law that is either related to experimental measurements or to theories. For instance, in case of dendritic microstructures [44], a dendrite tip growth kinetic model is well established and could be fitted by a simple power law between the velocity along the h10i directions, v h 10 i n (v h 100 i n along h100i directions in 3D), and the tip undercooling [44], DT, the latter defined by the difference between the melting point of the material, T M , and the tip temperature, T. For silicon growth [45], a linear law is appropriate. Experimental observations, within the spatial resolution of the set-up, also show that the rough part of the solidification front growing directionally remains smooth, grooves solely locally destabilizing the s/l interface due to the presence of {111} facets [42].…”

Section: Ca Growth and Capture Algorithmsmentioning

confidence: 99%

Three-dimensional cellular automaton modeling of silicon crystallization with grains in twin relationships

et al. 2020

Self Cite

View full text Add to dashboard Cite

A three-dimensional model is proposed to simulate the grain structure in directionally solidified silicon. This includes the nucleation and growth of grains in twin relationship whose formation is very frequent during silicon solidification. Based on analyses of in-situ and real-time observations of the crystallization front, a three-dimensional cellular automaton method is developed to model the dynamic of {111} facets, groove formation at grain boundaries, nucleation and growth of grains in twin relationship. The model is applied to well-characterized experiments assuming the frozen temperature approximation. A comparison of solidification sequences, crystallographic orientation maps, and coincidence site lattice maps in both experiment and simulation results is achieved. Results demonstrate that the model could be applied to optimize crystallization processes for both polycrystalline and cast-mono silicon fabrication processes.

show abstract

Growth competition between columnar dendritic grains – Cellular automaton versus phase field modeling

Cited by 73 publications

References 42 publications

Multiscale dendritic needle network model of alloy solidification with fluid flow

Multiscale dendritic needle network model of alloy solidification with fluid flow

A review of microstructural changes occurring during FSW in aluminium alloys and their modelling

Three-dimensional cellular automaton modeling of silicon crystallization with grains in twin relationships

Contact Info

Product

Resources

About