Fractal dimension for porous metal materials of FeCrAl fiber

FeCrAl纤维多孔材料的分形维数(英文)

The FeCrA1 fiber was used to prepare porous metal materials with air-laid technology, and then followed by sintering at 1300 ℃ 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 ffactal 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_0exp（-x/α_1）＋α_2和D=k_2-（k_1-k_2）/[1＋exp（（θ-k_0）/k_3）], respectively.

利用气流铺毡技术和真空烧结炉制备了FeCrAl纤维多孔材料,其烧结温度为1300℃,保温时间为2 h。采用基于分形理论和计算机图像处理技术自主研发的一种新型分形软件对其孔结构进行描述,计算孔结构的分形维数,研究了放大倍数与孔隙度对分形维数的影响规律。研究表明,分形维数随着放大倍数的增加而降低,随着孔隙度的增大而增大。分形维数和放大倍数、孔隙度之间的关系可以分别表示为D=α_0exp(-x/α_1)+α_2和D=k_2-(k_1-k_2)/[1+exp((θ-k_0)/k_3)]。