Grain Growth¶

The examples T020_Grain_Growth_initialFromFile, T022_Grain_Growth_Pinning_Pres and T023_Grain_Growth_Solute_Drag 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 T020_Grain_Growth_initialFromFile 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 T021_Grain_Growth_Profiles example.

The example T024_Grain_Growth_Solute_Drag_dG is the same as T023_Grain_Growth_Solute_Drag 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¶

T025_GrainGrowth grain growth sequence

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

Grain growth with particle pinning¶

T022_Grain_Growth_Pinning_Pres grain growth sequence

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

Grain growth with solute drag¶

T023_Grain_Growth_Solute_Drag grain growth sequence

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

Grain growth with solute drag and driving force dependent mobility¶

T024_Grain_Growth_Solute_Drag_dG grain growth sequence

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

Grain growth with temperature dependent mobility¶

T021_Grain_Growth_Profiles grain growth sequence

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

T021_Grain_Growth_Profiles 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.

T029_Grain_Growth_Misorientation_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¶

• T020_Grain_Growth_initialFromFile
• T021_Grain_Growth_Profiles
• T022_Grain_Growth_Pinning_Pres
• T023_Grain_Growth_Solute_Drag
• T024_Grain_Growth_Solute_Drag_dG
• T025_GrainGrowth
• T029_Grain_Growth_Misorientation_3D