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Massively Parallel Phase-Field Simulations for Ternary Eutectic Directional Solidification [article]

Martin Bauer, Johannes Hötzer, Philipp Steinmetz, Marcus Jainta, Marco Berghoff, Florian Schornbaum, Christian Godenschwager, Harald Köstler, Britta Nestler, Ulrich Rüde
2015 arXiv   pre-print
Microstructures forming during ternary eutectic directional solidification processes have significant influence on the macroscopic mechanical properties of metal alloys.  ...  For a realistic simulation, we use the well established thermodynamically consistent phase-field method and improve it with a new grand potential formulation to couple the concentration evolution.  ...  In this work, we show simulation results for the pattern formation in ternary eutectic directional solidification of Ag-Al-Cu alloys.  ... 
arXiv:1506.01684v1 fatcat:equ5plm3qjdxdivlaqmqiveule

Phase-field study of the pattern formation in Al–Ag–Cu under the influence of the melt concentration

Philipp Steinmetz, Michael Kellner, Johannes Hötzer, Anne Dennstedt, Britta Nestler
2016 Computational materials science  
To investigate this effect, large-scale three-dimensional phase-field simulations of directional solidification in the vicinity of the ternary eutectic point of Al-Ag-Cu are applied.  ...  In single transverse sections of directional solidified ternary eutectics, various microstructure patterns can be observed.  ...  Simulation setting The setup for the simulations of the ternary eutectic directional solidification is schematically depicted in fig. 2 .  ... 
doi:10.1016/j.commatsci.2016.04.025 fatcat:xhkhi3vs6jafteaiji7dsto42m

Ternary eutectic dendrites: Pattern formation and scaling properties

László Rátkai, Attila Szállás, Tamás Pusztai, Tetsuo Mohri, László Gránásy
2015 Journal of Chemical Physics  
E 87, 032402 (2013)], we have studied the formation of eutectic dendrites in a model ternary system within the framework of the phase-field theory.  ...  Yet, it cannot be excluded, that in isotropic systems two-phase dendrites are rare events difficult to observe in simulations.  ...  It has been shown that a minimal ternary phase-field model of eutectic solidification suffices for reproducing the spiraling eutectic dendrites.  ... 
doi:10.1063/1.4917201 pmid:25903891 fatcat:rw6ydjdzfze2lnkjhvn2hcrnsq

Solidification microstructures and solid-state parallels: Recent developments, future directions

M. Asta, C. Beckermann, A. Karma, W. Kurz, R. Napolitano, M. Plapp, G. Purdy, M. Rappaz, R. Trivedi
2009 Acta Materialia  
In light of this progress, critical issues that point to directions for future research in both solidification and solid-state transformations are identified.  ...  Rapid advances in atomistic and phase-field modeling techniques as well as new experiments have led to major progress in solidification science during the first years of this century.  ...  Alloy phase-field models can in principle be formulated for an arbitrary number of components, and such models have been used to simulate both eutectic [147] and dendrite growth [148] in ternary alloys  ... 
doi:10.1016/j.actamat.2008.10.020 fatcat:dvsqifgbcfbopckcm7aqoifplu

The phase field technique for modeling multiphase materials

I Singer-Loginova, H M Singer
2008 Reports on progress in physics (Print)  
Three-phase transformations: eutectic, peritectic and monotectic 17 3.5. The phase field crystal method (PFC) 18 3.6. Other applications 19 3.7. Scaling for quantitative modeling 20 3.8.  ...  Then we address in detail dendritic and directional solidification of pure and multicomponent alloys, effects of natural convection and forced flow, grain growth, nucleation, solid-solid phase transformation  ...  We are grateful to Professor Bilgram, Swiss Federal Institute of Technology ETH, Zurich, Switzerland for the financial support provided.  ... 
doi:10.1088/0034-4885/71/10/106501 fatcat:4hcyo2spabc23dtzaaquy2kf7m

Directional Solidification of AlSi7Fe1 Alloy Under Forced Flow Conditions: Effect of Intermetallic Phase Precipitation and Dendrite Coarsening

Haijie Zhang, Menghuai Wu, Christian M. G. Rodrigues, Andreas Ludwig, Abdellah Kharicha
2021 Metallurgical and Materials Transactions. A  
(a) Schematic for the flow pattern and formation of different phases; (b) experiment–simulation comparison of macrosegregation (Fe) across the diameter of as-solidified sample.  ...  The forced flow was induced by a rotating magnetic field (RMF). Herein, a three-phase volume-average-based solidification model is introduced to reproduce the above experiment.  ...  A large amount of Fe in the rest of the melt is consumed, and the solidification path turns towards the direction of the ternary eutectic point TE at 850 K, then ternary reaction occurs, L !  ... 
doi:10.1007/s11661-021-06295-5 fatcat:otf2hdsgsjcxtoll62mul2hmgq

A Scalable and Extensible Checkpointing Scheme for Massively Parallel Simulations [article]

Nils Kohl, Johannes Hötzer, Florian Schornbaum, Martin Bauer, Christian Godenschwager, Harald Köstler, Britta Nestler, Ulrich Rüde
2018 arXiv   pre-print
Realistic simulations in engineering or in the materials sciences can consume enormous computing resources and thus require the use of massively parallel supercomputers.  ...  We demonstrate the efficiency and robustness of the method with a realistic phase-field simulation originating in the material sciences and with a lattice Boltzmann method implementation.  ...  The authors gratefully acknowledge the Gauss Centre for Supercomputing e.V.  ... 
arXiv:1708.08286v2 fatcat:bkir7z4p5nfcjkkjbz3onfw6fe

Cellular Automaton Simulation of the Growth of Anomalous Eutectic during Laser Remelting Process

Lei Wei, Yongqing Cao, Xin Lin, Weidong Huang
2018 Materials  
Simulation results show that the mechanism of the LAT is that one phase overgrows the other followed by subsequent nucleating of the other phase.  ...  A cellular automaton (CA) model is developed to simulate the anomalous growth.  ...  Thanks to massively parallel GPU, the simulation finished within 10 h for 4,000,000 steps (≈0.015 s).  ... 
doi:10.3390/ma11101844 pmid:30262748 pmcid:PMC6212881 fatcat:gwv4hqrwwrghvgzusqkxyinbhq

X-Ray Videomicroscopy Studies of Eutectic Al-Si Solidification in Al-Si-Cu

R. H. Mathiesen, L. Arnberg, Y. Li, V. Meier, P. L. Schaffer, I. Snigireva, A. Snigirev, A. K. Dahle
2010 Metallurgical and Materials Transactions. A  
Al-Si eutectic growth has been studied in-situ for the first time using X-ray video microscopy during directional solidification (DS) in unmodified and Sr-modified Al-Si-Cu alloys.  ...  Yet, both with Sr-modified and unmodified alloys, Si precipitation alone was not sufficient to facilitate the eutectic reaction, which apparently required additional undercooling for Al to form at the  ...  model, [2, 3] and more recent extensions to this, e.g., by phase field simulations and experiments with transparent analogues, for growth behavior beyond the basic state interface stability limits  ... 
doi:10.1007/s11661-010-0443-8 fatcat:volctum6ija5ln4ugf25yi7zfa

X-Ray Video Microscopy Studies of Irregular Eutectic Solidification Microstructures in Al–Si–Cu Alloys

Ragnvald H. Mathiesen, Lars Arnberg, Yanjun Li, Anatoly Snigirev, Irina Snigireva, Arne K. Dahle
2010 ISIJ International  
In-situ studies of Al-Si eutectic growth has been carried out for the first time by X-ray video microscopy during directional solidification of Al-Si-Cu alloys with and without Sr-addtions.  ...  to formation of an irregular eutectic with Si as the leading phase and subsequent nucleation of Al on the Si-surfaces.  ...  1) and more recent extensions to this, e.g. by phase field simulations and experiments with transparent analogs, for growth behavior beyond the basic state interface stability limits  ... 
doi:10.2355/isijinternational.50.1936 fatcat:npn67qyekfh7dejqauuahnkli4

Effect of Rotating Magnetic Field on Microstructure in AlCuSi Alloys

Piotr Mikolajczak
2021 Metals  
The solidification of AlCuSi alloys with Mn and Fe was studied by rotating a magnetic field to understand the effect of melt flow.  ...  The average overall dimension of the Mn-rich phases increased in almost all alloys, and the number density decreased under flow. The modification of spacing for AlSi-eutectics and Al2Cu was analyzed.  ...  Ternary phase diagram-Al-Cu-Si system.  ... 
doi:10.3390/met11111804 fatcat:otrvmfqie5hc7aftxqwaxlc4qi

Microstructure Evolution during the Solidification of Steel

Doru M. Stefanescu
2006 ISIJ International  
Schematic phase diagram of the peritectic region of carbon steel.  ...  This paper will attempt to review the main recent experimental and mathematical efforts directed to the understanding of microstructure evolution in steel. Fig. 1.  ...  The g phase grows by direct solidification in the liquid.  ... 
doi:10.2355/isijinternational.46.786 fatcat:f25zgix4vza2noqzzl7euptkpi

Recent advances in hot tearing during casting of aluminium alloys

Yue Li, Hongxiang Li, Laurens Katgerman, Qiang Du, Jishan Zhang, Linzhong Zhuang
2020 Progress in Materials Science  
The fifth part describes the hot tearing simulations and the associated criteria and mechanisms. Finally, recommendations for the further development of hot tearing research are presented.  ...  Nevertheless, an updated systematic description of this field has not been presented.  ...  fields in the cross-section direction.  ... 
doi:10.1016/j.pmatsci.2020.100741 fatcat:lbqyq5brhbcchnhw4wbjjja3i4

Solidification microstructures: recent developments, future directions

W.J. Boettinger, S.R. Coriell, A.L. Greer, A. Karma, W. Kurz, M. Rappaz, R. Trivedi
2000 Acta Materialia  
AbstractÐThe status of solidi®cation science is critically evaluated and future directions of research in this technologically important area are proposed.  ...  The most important advances in solidi®cation science and technology of the last decade are discussed: interface dynamics, phase selection, microstructure selection, peritectic growth, convection eects,  ...  Fig. 14 . 14 Colony structure simulated using a phase-®eld model for the directional solidi®cation of a eutectic alloy with a dilute ternary impurity [169] .  ... 
doi:10.1016/s1359-6454(99)00287-6 fatcat:efwyzawdwrh4zfvhdqnyerkqtq

Oscillatory cellular patterns in three-dimensional directional solidification

D. Tourret, J.-M. Debierre, Y. Song, F. L. Mota, N. Bergeon, R. Guérin, R. Trivedi, B. Billia, A. Karma
2015 Physical Review E  
We present a phase-field study of oscillatory breathing modes observed during the solidification of three-dimensional cellular arrays in microgravity.  ...  Quantitative phase-field simulations show that the oscillatory behavior of cells in this regime is linked to a stability limit of the spacing in hexagonal cellular array structures.  ...  In combination with these experiments, we performed large-scale quantitative phase-field simulations, massively parallelized on graphic processing units (GPU).  ... 
doi:10.1103/physreve.92.042401 pmid:26565251 fatcat:rbret62nuvabjbyfmsueyqvjm4
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