Computer Simulation of Grain Growth by the Phase Field Model. Effect of Interfacial Energy on Kinetics of Grain Growth

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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Computer Simulation of Evolution of Ordering Phases and the Boundaries of Ni-Cr-Al Alloy

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.233-235.1782 ◽

2011 ◽

Vol 233-235 ◽

pp. 1782-1785

Author(s):

Zhong Chu ◽

Guo Qun Zhao

Keyword(s):

Computer Simulation ◽

Long Range ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Range Order ◽

Precipitation Process ◽

Al Alloy ◽

Long Range Order

Based on the microscope phase-field model，the evolution of atom morphology, the long range order(lro) parameter and concentration can be gotten, and atomic clustering and ordering during the precipitation process of Ni-Cr-Al alloy could be obtained. The Ni-14at.%Cr-15.5at.%Al alloy is studied and the temperature of precipitation are 973K. It was showed that the ordering of both Al and Cr atoms take place simultaneously during the precipitation process of Ni-Al-Cr alloy, Cr atoms transfer to the boundaries of L12phases, the domain of rich Cr atoms are formed. At the boundaries of L12phases, Cr atoms may substitute the Al sublattice, and the D022phases are formed.

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A three-dimensional phase-field model for computer simulation of lamellar structure formation in γTiAl intermetallic alloys

Acta Materialia ◽

10.1016/s1359-6454(01)00014-3 ◽

2001 ◽

Vol 49 (12) ◽

pp. 2341-2353 ◽

Cited By ~ 33

Author(s):

Y.H. Wen ◽

L.Q. Chen ◽

P.M. Hazzledine ◽

Y. Wang

Keyword(s):

Computer Simulation ◽

Structure Formation ◽

Phase Field ◽

Lamellar Structure ◽

Field Model ◽

Three Dimensional ◽

Phase Field Model ◽

Intermetallic Alloys

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Simulation of Ideal Grain Growth Using the Multi-Phase-Field Model

Materials Science Forum ◽

10.4028/www.scientific.net/msf.558-559.1177 ◽

2007 ◽

Vol 558-559 ◽

pp. 1177-1181 ◽

Cited By ~ 6

Author(s):

Philippe Schaffnit ◽

Markus Apel ◽

Ingo Steinbach

Keyword(s):

Grain Size ◽

Grain Growth ◽

Phase Field ◽

Large Scale ◽

Field Model ◽

Three Dimensional ◽

Phase Field Model ◽

Two Dimensions ◽

Von Neumann ◽

Average Grain Size

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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