From: Statistical methods for mechanical characterization of randomly reinforced media
Function | Order | Measure | Material | Sample dimensions |
---|---|---|---|---|
Indicator function | Lower | Presence of phase | Any random media | 2D and 3D |
Correlation function | Higher | Spatial correlation | Any random media | 2D and 3D |
Surface correlation functions | Higher | Interfaces distribution | Any random media | 2D and 3D |
Pore size distribution function | Lower | Level of porosity | Porous media | Only 3D |
Cluster function | Higher | Particles clustering | Any random media | Only 3D |
Lineal path function | Lower | Connectedness of microstructure | Any random media | 2D and 3D |
Chord length distribution function | Lower | Connectedness of microstructure and particles shape | Any random media | 2D and 3D |
Nearest neighbor functions | Lower | Particles distribution | Particle-reinforced media | 2D and 3D |
Orientation distribution function | Lower | Grain orientation, macroscopic texture | Polycrystals | Only 3D |
Misorientation distribution function | Lower | Orientation of local arrangement of grains | Polycrystals | Only 3D |
Micro-texture function | Lower | Amount of clustering of orientations and misorientations | Polycrystals | Only 3D |