About this Abstract |
| Meeting |
2026 TMS Annual Meeting & Exhibition
|
| Symposium
|
Advanced Characterization Techniques for Quantifying and Modeling Deformation
|
| Presentation Title |
Using Discrete Harmonic Expansions and Equilibrium Conditions to Estimate Intragranular Stress Distributions in Polycrystals from Grain-Averaged Data |
| Author(s) |
Wiley Kirks, Paul Dawson, Kelly Nygren, Matthew Miller |
| On-Site Speaker (Planned) |
Wiley Kirks |
| Abstract Scope |
Measuring intragranular stresses in polycrystalline materials provides highly desirable and critical insight into grain-scale mechanisms that govern deformation. However, direct characterization at this scale remains a challenge. High-energy X-ray Diffraction Microscopy (HEDM) enables researchers to probe the micromechanical state of polycrystals providing grain-resolved elastic strains under thermal or mechanical loading. The far-field variant of HEDM is particularly well suited for in-situ studies, capturing thousands of grains simultaneously during experiments; however, only yields single grain-averaged strain tensors per grain. This work proposes a method for reconstructing intragranular stress fields using discrete spherical harmonic expansions over a finite element discretization of the microstructure. By leveraging experimentally measured grain-averaged HEDM strain data and enforcing mechanical equilibrium both within and between grains, the methodology enables stress recovery at sub-grain resolution while significantly reducing degrees of freedom relative to the original finite element mesh. This framework is demonstrated on C103, a Nb-based refractory alloy. |
| Proceedings Inclusion? |
Planned: |
| Keywords |
Computational Materials Science & Engineering, Characterization, Modeling and Simulation |