The Compute Fractal Dimension GeoApp calculates the fractal dimension of the solid materials or the pore space of a loaded geometry. It mathematically describes the complexity of the current structure by analyzing how it changes in detail with respect to a change in scale. The used method is the box-counting algorithm. The fractal dimension is another measure for microstructures and is used, e.g., to characterize carbon particle agglomerates. The GeoApp executes the MatDict command 3D Inhomogeneity several times with increasing side length of the boxes.

Click Edit to open the Compute Fractal Dimension parameter dialog.

Select a Result File Name, then decide whether to compute the fractal dimension for the pore space or solid materials by checking or unchecking Compute for Pore-Space, respectively.

Results

The result file opens in the Result Viewer when the Compute Fractal Dimension app is finished.

The result file shows the fractal dimension and the fractal pre-factor described by Wang et al. (2022).

In the plots tab find the fractal dimension visualized in a 2D plot.