| About this Abstract |
| Meeting |
TMS Specialty Congress 2025
|
| Symposium
|
The 7th International Congress on 3D Materials Science (3DMS 2025)
|
| Presentation Title |
On the Inverse Problem of Recovering Admissible Intragranular Strain Fields From High-Energy X-Ray Diffraction Data |
| Author(s) |
Carter Cocke, Andrew Akerson, Sara Gorske, Katherine Faber, Kaushik Bhattacharya |
| On-Site Speaker (Planned) |
Carter Cocke |
| Abstract Scope |
Recovering strain fields from high-energy X-ray diffraction data is a challenging inverse problem that is commonly simplified to only obtain grain-averaged strains. Advanced techniques that obtain sub-granular strain fields often relax the requirement of either strain compatibility or stress equilibrium. Here, we present two methods that strongly enforce these requirements. The first approach is a post-processing step using grain-averaged strains and microstructural information from preexisting reconstruction algorithms. Using a finite-element formulation, the problem is posed as a linearly constrained least-squares problem that may be efficiently solved. We demonstrate the method through synthetic and experimental examples and recover intragranular strains with low error. Eschewing the need for a pre-reconstruction step, the second method directly inverts raw diffraction measurements. We discuss preliminary results and the associated challenges. The methods presented highlight that mechanical admissibility significantly constrains the solution space, which may be exploited to recover intragranular strains with high accuracy. |
| Proceedings Inclusion? |
Undecided |