Fractal dimension for porous metal materials of FeCrAl fiber

The FeCrAl fiber was used to prepare porous metal materials with air-laid technology, and then followed by sintering at 1300 °C for a holding period of 2 h in the vacuum. In addition, a novel fractal soft, which was developed based on the fractal theory and the computer image processing technology, was explored to describe the pore structure of porous metal materials. Furthermore, the fractal dimension of pore structure was calculated by the soft and the effects of magnification and porosity on fractal dimension were also discussed. The results show that the fractal dimension decreases with increase in the magnification, while it increases continuously with the porosity enhancing. The interrelationship between the fractal dimension and the magnification or porosity can be presented by the equation of D = α 0 exp (- x / α 1) + α 2 and D = k 2 - (k 1 - k 2) / [ 1 + exp ((θ - k 0) / k 3) ], respectively.