GPU-accelerated three-dimensional large-scale simulation of dendrite growth for Ti6Al4V alloy based on multi-component phase-field model

The kinetics and topology of ideal grain growth were simulated using the phase-field model. Large scale phase-field simulations were carried out where ten thousands grains evolved into a few hundreds without allowing coalescence of grains. The implementation was first validated in two-dimensions by checking the conformance with square-root evolution of the average grain size and the von Neumann-Mullins law. Afterwards three-dimensional simulations were performed which also showed fair agreement with the law describing the evolution of the mean grain size against time and with the results of S. Hilgenfeld et al. in 'An Accurate von Neumann's Law for Three-Dimensional Foams', Phys. Rev. Letters, 86(12)/2685, March 2001. Finally the steady state grain size distribution was investigated and compared to the Hillert theory.

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Large Scale Simulation of Dendritic Growth in Pure Undercooled Melt by Phase-field Model.

ISIJ International ◽

10.2355/isijinternational.39.335 ◽

1999 ◽

Vol 39 (4) ◽

pp. 335-340 ◽

Cited By ~ 29

Author(s):

Seong Gyoon Kim ◽

Won Tae Kim ◽

Jae Sang Lee ◽

Machiko Ode ◽

Toshio Suzuki

Keyword(s):

Phase Field ◽

Dendritic Growth ◽

Large Scale ◽

Field Model ◽

Phase Field Model ◽

Large Scale Simulation ◽

Undercooled Melt

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Phase-field modeling of grain evolutions in additive manufacturing from nucleation, growth, to coarsening

npj Computational Materials ◽

10.1038/s41524-021-00524-6 ◽

2021 ◽

Vol 7 (1) ◽

Author(s):

Min Yang ◽

Lu Wang ◽

Wentao Yan

Keyword(s):

Additive Manufacturing ◽

Phase Field ◽

Field Model ◽

Three Dimensional ◽

Phase Field Model ◽

Nucleation Theory ◽

Experimental Result ◽

Classical Nucleation Theory ◽

Validation Experiment ◽

Powder Particles

AbstractA three-dimensional phase-field model is developed to simulate grain evolutions during powder-bed-fusion (PBF) additive manufacturing, while the physically-informed temperature profile is implemented from a thermal-fluid flow model. The phase-field model incorporates a nucleation model based on classical nucleation theory, as well as the initial grain structures of powder particles and substrate. The grain evolutions during the three-layer three-track PBF process are comprehensively reproduced, including grain nucleation and growth in molten pools, epitaxial growth from powder particles, substrate and previous tracks, grain re-melting and re-growth in overlapping zones, and grain coarsening in heat-affected zones. A validation experiment has been carried out, showing that the simulation results are consistent with the experimental results in the molten pool and grain morphologies. Furthermore, the grain refinement by adding nanoparticles is preliminarily reproduced and compared against the experimental result in literature.

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Phase-Field Simulation of Three-Dimensional Dendritic Growth

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.97-101.3769 ◽

2010 ◽

Vol 97-101 ◽

pp. 3769-3772 ◽

Cited By ~ 1

Author(s):

Chang Sheng Zhu ◽

Jun Wei Wang

Keyword(s):

Computational Methods ◽

Phase Field ◽

Interfacial Energy ◽

Dendritic Growth ◽

Field Model ◽

Three Dimensional ◽

Phase Field Model ◽

Computational Time ◽

Field Simulation ◽

Undercooled Melt

Based on a thin interface limit 3D phase-field model by coupled the anisotropy of interfacial energy and self-designed AADCR to improve on the computational methods for solving phase-field, 3D dendritic growth in pure undercooled melt is implemented successfully. The simulation authentically recreated the 3D dendritic morphological fromation, and receives the dendritic growth rule being consistent with crystallization mechanism. An example indicates that AADCR can decreased 70% computational time compared with not using algorithms for a 3D domain of size 300×300×300 grids, at the same time, the accelerated algorithms’ computed precision is higher and the redundancy is small, therefore, the accelerated method is really an effective method.

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