| About this Abstract |
| Meeting |
2021 TMS Annual Meeting & Exhibition
|
| Symposium
|
Characterization of Minerals, Metals and Materials 2021
|
| Presentation Title |
Modeling Empirical Estimators for the 3D Particle Size, Distribution, and Expected Error from 2D Cross Sections of a Lognormal Distribution of Spherical Particles |
| Author(s) |
Austin Robert Cole Gerlt, Amanda Criner, Lee Semiatin, Katelun Wertz, Eric Payton |
| On-Site Speaker (Planned) |
Austin Robert Cole Gerlt |
| Abstract Scope |
Accurately estimating the mean size of 3D features within an opaque material using only 2D observations is a common and often difficult requirement in material characterization. Employing numerical methods to obtain an accurate estimate of the full 3D size distribution, which is often important for calculating structure-dependent properties, is yet more challenging. In this talk, two alternative methodologies are presented which circumvent the error propagation issues seen in classical numerical approaches via direct the direct simulation and cross sectioning of populations of spheres with lognormal size distributions to directly forward model the 2D to 3D stereological transformation. These empirical equations of fit are used to develop a set of 5 equations for transforming 2D cross sectional measurements into estimates of the full 3D distribution. The accuracy of this transformation is, for the first time, characterized as a function of the population size and measurement resolution. |
| Proceedings Inclusion? |
Planned: |
| Keywords |
Characterization, Modeling and Simulation, |