Representation of correlation statistics functions in heterogeneous materials using layered fast spherical harmonics expansion

Journal Article · Mon Mar 01 04:00:00 EST 2010 · Computational Materials Science, 48(1):133-139

DOI:https://doi.org/10.1016/j.commatsci.2009.12.019· OSTI ID:1002172

Li, Dongsheng; Khaleel, Mohammad A; Sun, Xin; Garmestani, Hamid

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.

• Research Organization: Pacific Northwest National Laboratory (PNNL), Richland, WA (US)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC05-76RL01830
• OSTI ID: 1002172
• Report Number(s): PNNL-SA-72122; AF5831060
• Journal Information: Computational Materials Science, 48(1):133-139, Journal Name: Computational Materials Science, 48(1):133-139 Journal Issue: 1 Vol. 48
• Country of Publication: United States
• Language: English

Related Subjects

77 NANOSCIENCE AND NANOTECHNOLOGY
CARBON
CORRELATION FUNCTIONS
FORECASTING
HARMONICS
MICROSTRUCTURE
NANOTUBES
SPHERICAL HARMONICS
STATISTICS
microstructure representation
probability functions
spherical harmonics
statistical continuum mechanics
statistics correlation