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Grain Growth

The examples T10_11_GrainGrowthInitialFromFile_2D, T10_30_GrainGrowthPinning_2D and T10_40_GrainGrowthSoluteDrag_2D show how MICRESS® can be used without coupling to external fields like temperature or concentration, i.e. using only the curvature as a driving force for the transformation. Respective curvature based coarsening is inherent to phase-field models. These examples also show how to read-in initial microstructures.

The T10_11_GrainGrowthInitialFromFile_2D example displays pure grain growth, whereas the other examples draw on specific models hindering grain boundary motion like e.g. the particle pinning, the solute-drag and KTH-solute-drag models, respectively.

In addition, grain growth with non-linear temperature profiles is modeled in the T10_20_GrainGrowthTempProfiles_2D example.

The example T10_41_GrainGrowthDGDependentMobility_2D is the same as T10_40_GrainGrowthSoluteDrag_2D apart from the mobility which is not constant but dependent on the driving force.

Alloy

The alloy system and composition are not specified.

Simulation conditions

ExampleT10_11T10_20T10_30T10_40T10_41
Dimension 2-D
Grid size 400x320 cells100x500 cells400x320 cells
Grid spacing 1.5 microns
Interface thickness 5 cells
Boundary conditions Phase field
  • east = periodic
  • west = periodic
  • top = periodic
  • bottom = periodic
Solid phases one phase

Results

Pure grain growth

T10_01_GrainGrowth_2D grain growth sequence

t = 0s t = 500s t = 1000s

Grain growth with particle pinning

T10_30_GrainGrowthPinning_2D grain growth sequence

t = 0s t = 500s t = 1000s

Grain growth with solute drag

T10_40_GrainGrowthSoluteDrag_2D grain growth sequence

t = 0s t = 500s t = 1000s

Grain growth with solute drag and driving force dependent mobility

T10_41_GrainGrowthDGDependentMobility_2D grain growth sequence

t = 0s t = 500s t = 1000s

Grain growth with temperature dependent mobility

T10_20_GrainGrowthTempProfiles_2D grain growth sequence

t = 0s t = 0.32s t = 1s

T10_20_GrainGrowthTempProfiles_2D temperature profile sequence

t = 0s t = 0.32s t = 1s

Grain growth with low-angle misorientation in 3D

This example demonstrates how to treat low-angle misorientation based on the models of Humphreys and Read-Shockley, as well as how to distinguish high-angle boundaries with special misorientation such as {\sum}\,3 and {\sum}\,9 boundaries using the misorientation model.

T10_04_GrainGrowthMisorientation_3D grain growth sequence showing low-angle boundaries (blue), {\sum}\,3 boundaries (red) and {\sum}\,9 boundaries (green)

t = 0s t = 250s t = 500s t = 1000s

Files