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¶

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¶

• T10_11_GrainGrowthInitialFromFile_2D
• T10_20_GrainGrowthTempProfiles_2D
• T10_30_GrainGrowthPinning_2D
• T10_40_GrainGrowthSoluteDrag_2D
• T10_41_GrainGrowthDGDependentMobility_2D
• T10_01_GrainGrowth_2D
• T10_04_GrainGrowthMisorientation_3D