Abstract
Statistical correlation function, including two-point function, is one of the popular methods to digitize microstructure quantitatively. This paper investigated how to represent statistical correlations using layered fast spherical harmonics expansion. A set of spherical harmonics coefficients may be used to represent the corresponding microstructures. It is applied to represent carbon nanotube composite microstructures to demonstrate how efficiently and precisely the harmonics coefficients will characterize the microstructure. This microstructure representation methodology will dramatically improve the computational efficiencies for future works in microstructure reconstruction and property prediction.
| Original language | English |
|---|---|
| Pages (from-to) | 133-139 |
| Number of pages | 7 |
| Journal | Computational Materials Science |
| Volume | 48 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 2010 |
| Externally published | Yes |
Funding
Pacific Northwest National Laboratory is operated by Battelle Memorial Institute for the US Department of Energy under Contract No. DE-AC05-76RL01830. This work was funded by the US Department of Energy under the Nuclear Energy Advanced Modeling and Simulation (NEAMS) Program managed by Mr. Alex Larzelere.
| Funders | Funder number |
|---|---|
| Nuclear Energy Advanced Modeling and Simulation | |
| US Department of Energy | |
| Battelle |
Keywords
- Microstructure representation
- Probability functions
- Spherical harmonics
- Statistical continuum mechanics
- Statistics correlation