| About this Abstract |
| Meeting |
2024 TMS Annual Meeting & Exhibition
|
| Symposium
|
Characterization of Minerals, Metals and Materials 2024: Process-Structure-Property Relations and New Technologies
|
| Presentation Title |
Characterization of Grain Boundary Network Structure-property Relations Through Harmonic Expansion |
| Author(s) |
Christopher W. Adair, Oliver K. Johnson |
| On-Site Speaker (Planned) |
Christopher W. Adair |
| Abstract Scope |
Since grain boundary networks (GBNs) by construction are high dimensional spaces, 5n degrees of freedom per grain boundary, characterization of this space has often relied on statistics of local structures such as individual boundaries or triple junctions. For property spaces such as diffusion, this poses a problem as the performance may be dependent on the full connectivity information that is not captured by local statistics. Methods such as Spectral Graph Theory (SGT) have been used to create microstructure to macroscopic property models that include this connectivity, but have not yet fully explained the structural reasons behind property differences. In this talk we show that a Laplacian construction of the GBN can reduce to a harmonic expansion in certain situations. We show how this can allow for general comparisons between microstructures of different numbers of boundaries and triple junctions, and allow for insight into the effects of boundary configurations. |
| Proceedings Inclusion? |
Planned: |
| Keywords |
Modeling and Simulation, |